Which graph represents the solution to the inequality −0.25 is greater than or equal to the product of a number and −0.5?

number line with a closed circle on 0.5 with an arrow shaded right
number line with an open circle on point on negative 0.5 with an arrow shaded left
number line with a closed circle on negative 2 with an arrow shaded right
number line with an open circle on 2 with an arrow shaded left

Answers

Answer 1

As we can see from graph for given linear inequality -0.25≥-0.5x, the graph will be a number line with a closed circle on 0.5 with an arrow shaded right.

What exactly are linear inequalities?

Inequality is a mathematical statement in which neither side is equal. In Math, an inequality occurs when a connection produces a non-equal comparison between two expressions or two integers. The equal sign "=" in the phrase is substituted by any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). In mathematics, there are three types of inequalities: polynomial inequalities, rational inequalities, and absolute value inequalities.

The symbols "< and '>' represent severe inequalities, whereas  ‘≤’ and ‘≥’  represent slack inequalities. A linear inequality appears to be the same as a linear equation, however there is a difference.

Now,

Given linear inequality is -0.25≥-0.5x

0.25≤0.5x

1/4≤1/2x

x≥1/2

hence,

        graph will be a number line with a closed circle on 0.5 with an arrow shaded right.

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Which Graph Represents The Solution To The Inequality 0.25 Is Greater Than Or Equal To The Product Of

Related Questions

translate the following sentence into an equation "Twice the difference of M and 14 equals 64 ."

Answers

Answer:

2 * (M - 14) = 64

Step-by-step explanation:

Twice mean s two times the rest of M

Yvette is saving money to buy holiday gifts. She will save the money she makes at her part-time job. However, she borrowed $25 from her sister that she has to pay back before she can start saving.


This relationship can be shown by a linear function. Below is a table showing how many hours Yvette has worked (input), and how much money she's saved (output).


Hours Worked (x) Amount Saved (y)

0 -$25

4 $14

8 $53

12 $92

16 $131

Which of the following statements are true regarding the graph of this linear function? Select all that apply.


Group of answer choices-


The slope of the line, 25, is the amount of money she makes per hour of work.


The slope of the line, 9.75, is the amount of money she starts with having worked 0 hours.


The y-intercept of the line, 0, is the amount of money she starts with, since she's worked 0 hours.


The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.


The slope of the lines, 9.75, is the amount of money she makes per hour of work.

Answers

Answer:

Step-by-step explanation:

The statements that are true regarding the graph of this linear function are:

The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.

The slope of the line, 25, is the amount of money she makes per hour of work.

The statement:

The slope of the line, 9.75, is the amount of money she starts with having worked 0 hours. is not true.

And the statement:

The y-intercept of the line, 0, is the amount of money she starts with, since she's worked 0 hours. is not true because the y-intercept is not 0, it's -25, which represents the amount of money she owes to her sister.

order the ratios from least to greatest

1. 4/2, 11 to 2, 22:3, 30/4, 36:5
2. 15/4, 19 to 5, 53/15, 4:1, 18 to 6
3. 7:11, 8:12, 6:10, 1/2, 7:4

Answers

The correct order of the ratios from the least to the greatest is given below:

4/2, 11 to 2, 22:3, 30/4, 36:5

Least to greatest: 4/2 = 2, 11:2 = 5.5, 22:3 = 7.33, 30:4 = 7.5, 36:5 = 7.2

15/4, 19 to 5, 53/15, 4:1, 18 to 6

Least to greatest: 15/4 = 3.75, 19:5 = 3.8, 53:15 = 3.53, 4:1 = 4, 18:6 = 3

7:11, 8:12, 6:10, 1/2, 7:4

Least to greatest: 7:11 = 0.6364, 6:10 = 0.6, 8:12 = 0.6667, 1/2 = 0.5, 7:4 = 1.75

What are Ratios?

A ratio in mathematics demonstrates how many times one number is present in another.

For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Therefore,

The ratios listed in the question are ordered from least to greatest by converting each ratio into a decimal and comparing the values.

In each case, the fraction is divided, the ratio of two numbers is expressed as a decimal, and then the decimals are ordered from least to greatest.

For example, in the first list, the ratio "11 to 2" is expressed as the decimal 11/2, which is equal to 5.5. The other ratios are similarly expressed as decimals and then ordered to get the final answer.

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Find the integral : [tex]\frac{x+1}{x(1+x.e^x)}[/tex]

Answers

The value of the equation [tex]\frac{x+1}{x(1+x.e^x)}dx[/tex] after taking the integral is  [tex]ln ( \frac{x.e^x}{x.e^x+1} ) + c[/tex].

What is meant by the integral of an equation?

Calculating areas, volumes, and their extensions require the use of integrals, which are the continuous equivalent of sums. One of calculus' two fundamental operations is integration, which involves computing integrals. The other essential operation is differentiation. The area under the graph of a function for some interval can be expressed numerically as the integral (definite integral), or a new function can be created whose derivative is the original function (indefinite integral).

Given equation [tex]\frac{x+1}{x(1+x.e^x)}dx[/tex]

Multiply and divide the equation by eˣ

The equation becomes [tex]\frac{e^x(x+1)}{e^xx(1+x.e^x)}dx[/tex]

Now substitute eˣx = a

Differentiating both sides

[eˣ + xeˣ]dx = da

eˣ[1+x]dx = da

Substituting the above in the equation

[tex]\frac{e^x(x+1)}{e^xx(1+x.e^x)}dx = \frac{da}{a(1+a)}[/tex]

Now add and subtract a in the numerator

[tex]\frac{1 da}{a(1+a)} = \frac{a-a+1}{a(1+a)} da = \frac{a+1-a}{a(1+a)} da = \frac{1}{a} da - \frac{1}{a+1} da[/tex]

Now taking integral

[tex]\int \frac{1}{a} da -\int \frac{1}{a+1} da = ln(a) - ln(a+1) + c = ln ( \frac{a}{a+1} ) + c[/tex]

Now substituting back the value of a = eˣx

Therefore the value of the equation after taking the integral is  [tex]ln ( \frac{x.e^x}{x.e^x+1} ) + c[/tex].

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You have $700 to buy a new carpet for you bedroom write an inequality that represents the cost c per 14 squares for your new carpet

Answers

The inequality that represents the cost c per 14 squares for a new carpet with a budget of $700 is: c ≤ 700/14 = 50 Therefore, the answer is:

The inequality is c ≤ 50.

Assuming that the price of the carpet is constant per square foot, we can write the following inequality to represent the cost c per 14 squares:

c/14 ≤ 700

This inequality states that the cost per 14 square feet (c/14) cannot exceed $700, which is the total amount of money available to purchase the carpet.

To write an inequality representing the cost of a new carpet per 14 square feet, we need to first define the cost per square foot. Let's say the cost per square foot is $x. Then, the cost of the carpet for 14 square feet would be 14x.

Since we have a budget of $700, we can write the inequality:

14x ≤ 700

This inequality represents that the cost of the carpet for 14 square feet should be less than or equal to $700. We can solve for x by dividing both sides by 14:

x ≤ 50

This means that the cost per square foot of the carpet should be less than or equal to $50 for it to fit within the budget of $700.

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The test scores for two algebra classes are shown in the stem-and-leaf plot. how many students in period 5 scored greater than 80?

Answers

The complete question:

The stem-and-leaf plot shows the test scores for a chemistry class.

How many students had a score greater than 90 points?

A. 6

B. 7

C. 8

D. 9

Solution:

The number of students had a score greater than 90 points is 7. So option B is correct.

What is stem and leaf plot  ?

A stem-and-leaf plot is a type of data visualization that shows the distribution of a set of data. It is particularly useful for small to medium-sized data sets. In a stem-and-leaf plot, each data point is split into two parts: the stem and the leaf. The stem is the leftmost digit or digits of the data point, and the leaf is the rightmost digit.

To the left of the vertical bar are the tens places.

As we want to find the scores greater than 90, we start at the row in the stem and leaf plot with a 9 to the left.

To the right are 6 values - 1, 2, 3, 4, 6, and 7.

So there are six scores here higher than 90:

91, 92, 93, 94, 96, and 97.

Now we move lower to 10 in the tens place.

There is one score there - 100. (That smart kid.)

Total up the six scores in the 9 row and the 1 in the 10 row to get 7 scores higher than 90 in this stem and leaf plot.

Hence, the number of students is 7

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select the number that comes next in the sequence of numbers below 6 12 20 26 34 40

Answers

GIVE BRAINLIEST PLEASE!
thank you and have a good day :)

Answer:

48

Step-by-step explanation:

the sequence of numbers alternates between adding 6 and 8.

6 + 6 = 12

12 + 8 = 20

20 + 6 = 26

26 + 8 = 34

34 + 6 = 40

40 + 8 = 48!

i hope this helps :)

Answer:48

Step-by-step explanation:The sequence adds 6 first then adds 8

The time taken to cook Wkg is given by the expression (48w + 23) minutes. Calculate the time it would take to cook 3kg of meat giving in hours and minutes​

Answers

Answer:   2 hours and 47 minutes

Work Shown:

48w+23

48*3+23

144+23

167

It takes 167 minutes to cook 3 kg of meat.

Convert this to hours+minutes format.

167 min = 120 min + 47 min

167 min = 120/60 hr + 47 min

167 min = 2 hr + 47 min

Use the drop-down menus to complete the statements
to match the information shown
by the graph.

Answers

Gold costs less than platinum per ounce because the slope of the graph for gold is less than that of the chart for platinum. The slope of the graph tells you the unit rate in dollars per ounce.

What is a slope?

In Mathematics, a slope is sometimes referred to as rate of change and it is typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

How to calculate the slope (rate of change)?

Mathematically, the slope (rate of change) can be calculated by using this mathematical expression;

Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope), m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the graph of the weight of gold and platinum, we can reasonably infer and logically deduce that the slope (unit rate) of the graph for gold is less than the slope (unit rate) of the graph for platinum.

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Complete Question:

Use the drop-down menus to complete the statements to match the information shown by the graph.

A graph has weight (ounces) on the x-axis, and cost (dollars) on the y-axis. A line labeled gold starts at (0, 0) and has a positive slope. A line marked platinum starts at (0, 0) and has a greater positive slope than gold.

Gold costs ---------------- platinum per ounce because the ----------- of the graph for gold is -------------that of the chart for platinum. The --------of the graph tells you the unit rate in _____.

rachel's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs rachel per pound, and type b coffee costs per pound. this month, rachel made pounds of the blend, for a total cost of . how many pounds of type a coffee did she use?

Answers

Rachel's Coffee Shop used 33 pounds of type A coffee at a cost of $4.20 per pound, and four times as many pounds of type B coffee at a cost of $5.50 per pound, to create a blend costing a total of $864.60.

Let's use the variable "x" to represent the number of pounds of type A coffee used in the blend.

The amount of type B coffee used in the mix was four times that of type A, therefore we can write:

number of pounds of type B coffee = 4x

The total cost of the blend is given as $864.60, so we can write an equation based on the cost:

[tex]4.2x + 5.5(4x) = 864.60[/tex]

Simplifying and solving for x, we get:

[tex]4.2x + 22x = 864.60[/tex]

[tex]26.2x = 864.60[/tex]

[tex]x = 33[/tex]

As a result, the mix contained 33 pounds of type A coffee.

To check our answer, we can substitute x = 33 into the equation we used to solve for it and verify that the total cost is indeed $864.60.

[tex]4.2(33) + 5.5(4*33)[/tex]

= [tex]138.6 + 726.0[/tex]

= [tex]864.6[/tex]

The total cost matches, so our answer is correct.

Therefore, Rachel's Coffee Shop used 33 pounds of type A coffee in the blend.

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The complete question is:

A blend made by Rachel's Coffee Shop combines two different kinds of coffee. Rachel pays $4.20 per pound for type A coffee and $5.50 for type B coffee. This month's blend cost $864.60 and included four pounds more of type B coffee than type A. How many pounds of coffee of type A were consumed?

y=3x+2

-4x+2y=8

graph

Answers

Answer:

Y=3x+2

Graph the line using the slope and y-intercept or two points

Slope: 3 Y-intercept: (0,2)

Point 1: (0,2) Point 2: (1,5)

-4x+2y=8

Graph the line using the slope and y-intercept or two points

Slope: 2 Y-intercept: (0,4)

Point 1: (0,4) Point 2: (1,6)

help pls

Find the value of the following expression and round to the nearest integer:
Answer:
53
Σ900(1.04)n+1
n=1
Submit Answer

Answers

The expression is a summation formula, representing the sum of a series of values. To find the value of the expression, we need to evaluate the sum for each term.

The general formula for each term is:

900(1.04)^n

where n is the term number and 1.04 is the common ratio.

For the first term (n = 1), the formula is:

900(1.04)^1 = 900 * 1.04 = 937.6

For the second term (n = 2), the formula is:

900(1.04)^2 = 900 * 1.04^2 = 976.9792

And so on, for each term. We can continue evaluating the formula for each term until we reach the desired number of terms.

Let's evaluate the expression for n = 10 terms.

The sum of the first 10 terms is:

937.6 + 976.9792 + 1018.057312 + ... + 1412.14803883

The value of the expression is approximately 1412.15.

Rounding to the nearest integer, the answer is 1412.

Please help!!

Solve for x

Answers

Answer: x=8

Step-by-step explanation: since we know 2 sides of both quadrilaterals and they are similar,

just put 32/40 = 24/3x+6 ,

cross multiply ( 32 x 3x+6   and 40 x 24),

they become 96x +192 = 960.

move 192 to the other side and divide both sides by 96

Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x

Answers

The constant of proportionality (r) in the equation y = rx represents the rate of change of y with respect to x, indicating the factor by which x and y are related.

The constant of proportionality (r) in the equation y = rx is simply the coefficient in front of the x term. In this case, r is the constant of proportionality, and it represents the rate at which y changes as x changes. In other words, it gives the relationship between x and y, such that y is directly proportional to x with a constant of proportionality of r.

So, in the equation y = rx, the value of r is the constant of proportionality.

In a direct proportion, if x increases, then y also increases, and if x decreases, then y decreases as well. The constant of proportionality (r) gives us the factor by which x and y are related.

For example, if y is equal to twice x (y = 2x), then the constant of proportionality (r) is 2. If x increases by 1 unit, y increases by 2 units, and if x decreases by 1 unit, y decreases by 2 units. The constant of proportionality in this case is 2.

In the equation y = rx, the variable x represents the input and y represents the output. The constant of proportionality (r) tells us how much y changes for a unit change in x. It can be thought of as the ratio of the change in y to the change in x. The constant of proportionality can also be expressed as the slope of a line that represents the relationship between x and y.

In summary, the constant of proportionality (r) in the equation y = rx gives us the factor by which x and y are related and represents the rate of change of y with respect to x.

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List the angles of triangle KLM in order from least to greatest if
KL = x - 4, LM = x + 4, KM = 2x - 1, and the perimeter if the triangle is 27.

Answers

Answer:

B, C, A.

Step-by-step explanation:

In order to find the angles of triangle KLM and their order from least to greatest, we need to use the Law of Cosines and the perimeter equation of the triangle. The Law of Cosines states that in any triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides minus twice the product of the lengths of these sides and the cosine of the angle between them.

Let's assume that the length of sides KL, LM, and KM are x - 4, x + 4, and 2x - 1, respectively. We can use the Law of Cosines to find the cosine of the angle between KM and KL:

cos A = (x - 4)^2 + (2x - 1)^2 - (x + 4)^2 / 2 * (x - 4) * (2x - 1)

Next, we can use the perimeter equation of the triangle, which is

KL + LM + KM = 27, to find the value of x:

x - 4 + x + 4 + 2x - 1 = 27

4x = 36

x = 9

So, the lengths of the sides of the triangle are

KL = x - 4 = 5, LM = x + 4 = 13, and KM = 2x - 1 = 17.

Next, we can use the Law of Cosines to find the cosine of the angle between KM and KL:

cos A = (5)^2 + (17)^2 - (13)^2 / 2 * (5) * (17)

cos A = 74 / 60

A = cos^-1 (74/60) = approximately 49.7°

Finally, we can use the perimeter equation of the triangle and the Law of Sines to find the other two angles of the triangle:

B + C = 180° - 49.7° = 130.3°

B / sin B = LM / sin A

B = sin^-1 (sin B / sin A) * LM / sin A

C = 130.3° - B

The angles of triangle KLM in order from least to greatest are approximately:

B, C, A.

Porsches are cars that are known to retain their value.
When you first buy a Porsche, their value goes down
slowly, before staying even for a while. Eventually, the
value starts to go up again, before it drops quickly at
the end. Draw a graph showing the value of a Porsche
over time. At which part of the graph is the line
horizontal?

Answers

The graph of the function is horizontal when the value of the Porsche stays even.

How to classify the function as increasing, decreasing or constant?

The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.

Staying even means that the value of the car does not change, hence it is constant.

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Gina wilson all things algebra unit 4: congruent triangles homework 7: proofs review: all methods page 1​

Answers

In geometry, two triangles are said to be congruent if they are the same size and shape. This means that all corresponding angles and sides are equal.

To prove that two triangles are congruent, we must use one of the five congruency tests: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Hypotenuse-Leg (HL).The SSS test states that if all three sides of two triangles are equal, then the triangles are congruent. The SAS test states that if two sides and the included angle of two triangles are equal, then the triangles are congruent. The ASA test states that if two angles and the included side of two triangles are equal, then the triangles are congruent. The AAS test states that if two angles and a non-included side of two triangles are equal, then the triangles are congruent. Lastly, the HL test states that if the hypotenuse and a leg of a right triangle are equal to the hypotenuse and a leg of another right triangle, then the triangles are congruent.In order to prove that two triangles are congruent, we must show that one of the five congruency tests is true. To do this, we can use techniques such as the Reflexive Property, the Symmetric Property, and the Transitive Property. We can also use logical reasoning, such as if two angles are equal and their corresponding sides are proportional, then the triangles must be congruent.

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What is the definition of congruent triangles?

an online coupon service has offers for free samples. part: 0 / 20 of 2 parts complete part 1 of 2 (a) how many different requests are possible if a customer must request exactly free samples? the number of different requests is .

Answers

The number of possible requests for free samples is 5^1 = 5. This means that the customer has 5 different requests that they can make for free samples.

The number of possible requests for free samples can be calculated using the combination formula. The combination formula is used to calculate the number of combinations with repetitions of size “n” taken from a set of “r” elements . The formula is: [tex]C(n,r) = n^r[/tex] In this case, n = number of requests (1 request) and r = number of free samples offered (let’s say, 5). Therefore, the number of possible requests for free samples is[tex]5^1 = 5.[/tex]This means that the customer has 5 different requests that they can make for free samples.

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Find the simplified product:^3sqrt2x^5 x ^3sqrt64x^9

Answers

The simplified product of the ^3sqrt2x^5 x ^3sqrt64x^9 is [tex]24\sqrt{2} x^{17}[/tex]

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.

For finding the simplified product we will first remove the squareroot possible and simplify the value in a simplest way as possible. In the given question, first we will simplifying [tex]\sqrt{64}[/tex] and after simplifying it we will then apply [tex]a^{n} . a^{m} = a^{n+m}[/tex], and lastly we will multiply the two numbers i.e., 3 and 8.

[tex]3\sqrt{2}x^5x^3\sqrt{64}x^9[/tex]

[tex]3\sqrt{2}x^5x^3\sqrt{8^{2} }x^9[/tex]

[tex]3.8\sqrt{2}x^{5+3+9}[/tex]

[tex]3.8\sqrt{2}x^{17}[/tex]

[tex]24\sqrt{2}x^{17}[/tex]

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two opposite angles of a parallelogram (4x-50)^0 and (60 - x)^0

Answers

All the angles of the given parallelogram found using the properties of the parallelogram are 38°,38°, 142° and 142°.

What is meant by a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. On the same side of the transversal, the interior angles are supplementary. 360 degrees is the sum of all interior angles. The qualities of a parallelogram are shared by the shapes of a square and a rectangle.

Given the two opposite angles of parallelogram as (4x-50)° and

(60 - x)°.

We are asked to find all the angles of the parallelogram.

As said earlier, opposite angles of parallelogram are equal.

So,

4x-50 =  60 - x

5x = 110

x = 22

So the opposite angles are:

4x-50 = 4*22- 50 = 38°

Adjacent angles are supplementary. So,

38 + y = 180

y = 142°

Sum of all angles of parallelogram should be 360°.

38+38+142+142 = 360°.

Therefore all the angles of the parallelogram are 38°,38°, 142° and 142°.

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For what values of x and y must ABCD be a parallelogram?

Answers

The correct answer is,

x = 39

y =21

What is Parallelogram ?

A different type of quadrilateral known as parallelogram has both pairs of its opposite sides parallel and equal.

The figure shows a parallelogram ABCD with the parameters AB II CD and AD II BC. Furthermore, AB = CD and AD = BC.

In a parallelogram, the opponent angles are equal.. So it means that side /A is equal to side /C, let's equate the two angles and solve for x;

5y - 3 = x + 3y

2y - x = 3                            ........(1)

Also, consecutive angles of a parallelogram are supplementary,

therefore,

/C + /D = 180

x + 3y + 2x = 180

3x + 3y = 180

x + y = 60                                  .......(2)

Now, add equations (1) and (2)

(2y-x) + (y+x) = 3 + 60

3y = 63

y = 21

now put this value of y in (2) we get,

x + y = 60

x + 21 = 60

x = 39

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b. Isabella has a second tray that has a length of 5/3 inches and a width of 13/4 inches
and a height of 5/2 inches. What is the volume of the second tray?

Answers

Answer: approx 13.54 (full decimal : 13.416666667)

Step-by-step explanation:

Area = Base Area x Height   OR    Length x Width x Height

5/3 x 13/4 x 5/2

5 x 13 x 5 = 325

3 x 4 x 2 = 24

325/24 = approx 13.54

Write the equation in slope-intercept form. y−2=−43(x+6)

Answers

The equation can be written in slope-intercept form as y = -43x - 250. This equation has a slope of -43 and a y-intercept of -250.

Subtract 2 from both sides:

y - 2 - 2 = -43(x + 6) - 2

y - 4 = -43(x + 6)

Divide both sides by -43:

(-1/43) * (y - 4) = x + 6

(-1/43)y - (-4/43) = x + 6

x = (-1/43)y + (-38/43)

Add 6 to both sides:

x + 6 = (-1/43)y + (-32/43)

Subtract (-1/43)y from both sides:

x + 6 - (-1/43)y = (-32/43) - (-1/43)y

x + 6 + (1/43)y = (-32/43)

Multiply both sides by -43:

(-43)(x + 6 + (1/43)y) = (-43)(-32/43)

-43x - 250 = -32

Add 250 to both sides:

-43x - 250 + 250 = -32 + 250

-43x = 218

Divide both sides by -43:

x = (-218)/(-43)

x = 5

The equation can be written in slope-intercept form as y = -43x - 250. This equation has a slope of -43 and a y-intercept of -250.

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From the tree diagram find the following.
(a) P(An E)
0
(b) P(A)
(c) P(A|E)
X
0.1
0.9
A A
0.3
0.3
0.4
0.4
0.4
0.2

Answers

Answer:

(a) P(A ∩ E) = 0.03

(b) P(A) = 0.39

(c) P(A | E) = 0.1

Step-by-step explanation:

The first level of the tree gives the following probabilities

P(E) = 0.1

P(E') = 1 - P(E) = 0.9

The second level gives conditional probabilities

P(A|E) = 0.3  this is the top most branch from the root

P(A ∩ E) = P(A|E) P(E) = 0.3 x 0.1 = 0.03      Answer(a)

To find P(A) we find all routes that will end in A, compute each probability and add up the individual probabilities


For event E happening, P(A ∩ E) = 0.03 which is computed in A

However A can also happen when the complement event E' happens
P(A ∩ E') = P(A | E') P(E') = 0.4 x 0.9 = 0.36

Add these two together to get 0.03 + 0.36 = 0.39 Answer (b)

P(A|E) is nothing but the probability value when we follow the E branch first followed by the A branch

This is 0.1   answer (c)

Frank in going to plant b vegetables in one garden and 2b+1 vegetables seeds in a another how many seed is frank going to plant

Answers

The number of vegetable seeds Frank is going to plant is 3b + 1

Calculating the sum of vegetable seeds Frank is going to plant

From the question, we are to determine the number of vegetable seeds Frank is going to plant on the gardens

From the given information, we have that

"Frank in going to plant b vegetables in one garden"

and

"2b+1 vegetables seeds in a another"

To determine the number of vegetable seeds he would be planting in the gardens, we would find the sum of the vegetable seeds he is planting in the first garden and the second garden

That is,

b + (2b + 1)

= b + 2b + 1

= 3b + 1

Hence, the number of seeds is 3b + 1

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a garden is in the shape of a rectangle with a perimeter of 18 meters. the length is 3 meters more than twice the width. find the length of the garden

Answers

The length of the garden which is in the shape of a rectangle with a perimeter of 18 meters and whose length is 3 meters more than twice the width, is 7 metres.

Let's name the width "w" and the length "l" of the rectangle.

We know from the problem description that the rectangle's perimeter is 18 metres, thus we can formulate an equation:

2l + 2w = 18

We also know that the length is 3 metres longer than the breadth, thus we can solve the following equation:

l = 2w + 3

We may plug the second equation into the first to remove the letter "l" and get an equation with only one variable:

2(2w + 3) + 2w = 18

When we simplify this equation, we get:

6w + 6 = 18

When we subtract 6 from both sides, we get:

6w = 12

When we divide both sides by 6, we get:

w = 2

We can use the second equation to get the length now that we know the width is 2 metres:

l = 2w + 3 = 2(2) + 3 = 7

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There are 5 slices of pepperoni pizza, 1 slice of sausage pizza, and 3 slices of cheese pizza left. Without looking, Douglas took a slice of pizza, ate it, and then took another slice.
What's the probability of Douglas eating two of the same kinds of pizza?

Answers

Answer:

Step-by-step explanation:

well if there are 5 pepperoni pizzas that means that he eats 2 meaning he has 3 pepperoni slices of pizza.

Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 1.50 for selling the first subscription. For each additional subscription​ sold, the magazine company will pay you 20 cent more than what was paid for the previous subscription. How much will you earn by selling magazine​ subscriptions?

Answers

As per unitary method, you'll earn $9.50 by selling five magazine subscriptions.

The unitary method is a method of finding a single value of a quantity or unit, given the value of a unit of the same quantity. In this case, we need to find out how much money you'll earn by selling magazine subscriptions.

We know that for selling the first subscription, the magazine company will pay you $1.50. For each additional subscription sold, the magazine company will pay 20 cents more than what was paid for the previous subscription.

Let's use the unitary method to find out how much you'll earn by selling the second subscription.

The magazine company pays 20 cents more than $1.50 for the second subscription. Therefore, the payment for the second subscription is

=> $1.50 + $0.20 = $1.70.

Using the same method, we can calculate the payment for the third subscription, which is

=> $1.70 + $0.20 = $1.90.

Similarly, we can use the unitary method to calculate the payment for the fourth, fifth, and so on, subscriptions.

By adding up the payments for each subscription, we can calculate your total earnings. Let's assume you sold five subscriptions.

The payment for the first subscription is $1.50, for the second subscription, it's $1.70, for the third subscription, it's $1.90, for the fourth subscription, it's $2.10, and for the fifth subscription, it's $2.30.

Total earnings = $1.50 + $1.70 + $1.90 + $2.10 + $2.30 = $9.50.

Therefore, you'll earn $9.50 by selling five magazine subscriptions.

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Write 1/x-3/6 in simplest radical form show steps

Answers

Answer:

(36 - 18x) / x√(36x^2)

Step-by-step explanation:

I assume that the expression is:

1/x - 3/6

To simplify the expression and put it in the simplest radical form, we need to find a common denominator for the two terms. In this case, the least common multiple (LCM) of the denominators is 6x. Thus, we can rewrite the expression as:

(6/x) / (6x/6) - (3/6) / (6x/6)

Simplifying the above expression gives:

(6/x) / (x/6) - (3/6) / (x/6)

(6/x) * (6/x-3) / (x/6)

Simplifying the expression further gives:

(36/x^2 - 18/x) / (x/6)

We can simplify this expression by multiplying the numerator and denominator by 6x^2, which gives:

(36 - 18x) / x√(36x^2)

Therefore, the expression in the simplest radical form is:

(36 - 18x) / x√(36x^2)

Please help meeh:
Find the first four terms and stated term given the arithmetic sequence, with a, as the 1" term.

an = 25 - 10n, a5
an = 11 + 9n, a6
an = 65 - 35n, a9

Answers

The first four terms and the stated term, with an as the first term, are given the arithmetic sequence: 11 + 9n, a6.

What is an arithmetic sequence?The difference between any succeeding term and its preceding term remains constant throughout an arithmetic progression or arithmetic sequence, which is a set of numbers. That arithmetic progression's common difference is the constant difference. A series of numbers in the following format is an arithmetic sequence: a, a + d, a + 2 d, a + 3 d, a + 4 d,... The common difference between the terms in the sequence is d, and number an is the first term. An = a + (n - 1)d gives the nth term of an arithmetic series. A sequence is considered to be arithmetic if there is a constant difference between each subsequent term.

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