Explain why y−7x−5=2/6.

Answer:

7m + 20 ≥ 150

Closest option is 7m + 20 > 150 which is the second choice

Step-by-step explanation:

The words "at least" indicate a ≥ inequality.

There is a fixed earning of $20 for entering the race. So this amount will be earned on regardless of how much Carol runs

For each mile she runs she earns $7. For running m miles, she earns 7m dollars

Total amount earned for running m miles = 7m + 20
This must be at least $150
So the correct inequality is
7m + 20 ≥ 150

I don't see this exact inequality in any of the answer choices but that is the correct answer.

The inverse of the given functions are f⁻¹(x) = 3/4(x + 7) and f⁻¹(x) = x^2 + 10x + 25

The inverse of a function is a new function that undoes the effects of the original function.

In other words, if we have a function f(x) that maps x to y, then the inverse of f(x), denoted by f^-1(y), maps y back to x.

Given that:

f(x) = 4/3x - 7

Write as an equation

y = 4/3x - 7

Interchange the variables

x = 4/3y - 7

Solve for y

y = 3/4(x + 7)

Replace y with f⁻¹(x) to show the final answer.

f⁻¹(x) = 3/4(x + 7)

Also, the inverse of the function f(x) = √x -5 is computed as follows:

Interchange the variables and solve for y;

x = √y -5

y = x^2 + 10x +25

Replace y with f⁻¹(x) to show the final answer.

f⁻¹(x) = x^2 + 10x + 25

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The answer to this question is as follows The formula for the letter C is: equation  $1.25C = $72.50

A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.

Let C represent the volume of vehicles that passed through the booth.

As $1.25 is the amount collected per vehicle, the following equation represents the total amount collected:

Total = $1.25 plus C

Also, we are aware that $72.50 was collected in one hour, allowing us to create another equation:

$72.50 = $1.25 × C

We may divide both sides by $1.25 to find C:

C = $72.50 ÷ $1.25

C = 58

58 vehicles passed through the booth as a result.

The formula for the letter C is:

$1.25C = $72.50

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When given the area of a rectangle, and one of the sides, the unknown measure of the rectangle would be 40 meters

To find the area of a rectangle, you can use the formula:

A = l x w

where A is the area of the rectangle, l is the length of the rectangle, and w is the width of the rectangle.

Seeing as you were given the area to be 2, 800 square meters and one of the sides measures 70 meters, the unknown measure of the rectangle would be:

70x Unknown = 2, 800

Unknown = 2, 800 / 70

Unknown measure = 40 meters

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Full question is:

Area = 2,800 square meters

Side A = 70 meters

Find the unknown measure of the rectangle

The diagonal length of his current TV is 65 inches.

Pythagoras theorem states that for a right-angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude. It can be used to find the diagonal of a rectangle if we know the length and the width.

As per the given data:

Length of the TV (l) = 56 inches

Width of the TV (b) = 33 inches

To find the diagonal length (d) of the TV:

From Pythagoras theorem:

[tex]d = \sqrt{l^2 +b^2}\\d = \sqrt{(56)^2 +(33)^2}\\d = \sqrt{3136 +1089}\\d = \sqrt{4225}\\d = 65 inches[/tex]

Hence, the diagonal length of his current TV is 65 inches.

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The correct answer is a scatter plot, because it would show the association or relationship between two variables.

A scatter plot is a graph that displays values of two variables on two axes. It is used to show the relationship between the two variables and how one variable affects the other. It is also known as a scatter graph, scatter chart, scattergram, or scatter diagram. The points are plotted on a graph and can be used to identify patterns and trends in the data.

A scatter plot can be used to display the relationship between two variables, such as the weight and height of a manatee. The points on the scatter plot would represent each manatee's weight and height, and the pattern of the points can be used to see the overall relationship between the two variables. A line graph, on the other hand, is used to show how a variable changes over time between each data point given, and would not be suitable for this context as the data collected is not related to time.

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For two similar rectangle value of x is,

⇒ x = 4.2 cm

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

There’s two rectangular that are similar and one is 6cm and 2.8 cm.

Now, By using definition of proportion;

The proportion of there corresponding sides are equal.

Hence, We get;

⇒ 6/2.8 = 9/x

Solve for x;

⇒ x = 9 × 2.8 / 6

⇒ x = 4.2 cm

Therefore, For two similar rectangle value of x is,

⇒ x = 4.2 cm

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The two measures of these data that best describe the typical number of minutes Addison spent reading each day are mean and median.

Mean is the average value of a set of numbers, found by adding up all the numbers and dividing by the total count of numbers. Median is the middle value in a set of numbers when they are listed in order.

To find the mean of the data set, we add up all the values and divide by the total count:

(90 + 60 + 89 + 94 + 60 + 93) / 6 = 85.33

To find the median of the data set, we first put the values in order:

60, 60, 89, 90, 93, 94

Since there are an even number of values, we take the average of the two middle values:

(89 + 90) / 2 = 89.5

Therefore, the mean is 85.33 minutes and the median is 89.5 minutes, which are the two measures that best describe the typical number of minutes Addison spent reading each day.

1) The volume of the first rectangular prism is 175 ft³

2) The volume of the second rectangular prism is 60ft³

3) The volume of the third rectangular prism 140ft³

4) The volume of the Fourth rectangular prism 216ft³

Note that in order to find the volume of area of a complex figure, you must deconstruct it into manageable proportions.

Shape 1 above, we deconstructed the rectangular prism into two 3 dimensional shapes with the following metrics:

a)

Length = 7ft

Height = 2ft

width = 2ft

Volume = Volume = 7ft x 2ft x 2ft

Volume = 28  ft³

b)

Length = 7ft

Height = 3ft

width = 7ft

Volume = 147 ft³

Total Volume = 28  ft³ + 147 ft³

Volume for Shape 1 = 175 ft³

In shape 2 above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:

a) Length = 3ft

Height = 2ft

width = 1ft

Volume = 6 ft³

b) Length = 6ft

Height = 3ft

width = 3ft

Volume = 54 ft³

Thus, total volume for shape 2 is:

Volume = 6 + 54

Volume = 40 ft³

Shape 3, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:

a) Length = 7ft

Height = 1ft

width = 2ft

Volume = 14ft³

b)

Length = 7ft

Height = 3ft

width = 6ft

Volume = 126ft³

Thus, the total volume for shape 3, =

Volume = 14ft³ + 126ft³

Volume = 140ft³

Shape 4, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:

a) Length = 4ft

Height = 3ft

width = 2ft

Volume = 24 ft³

b) Length = 4ft

Height = 12ft

width = 4ft

Volume = 192 ft³

Thus, the total volume for Shape 4:

Volume =  24 ft³+ 192 ft³

Volume = 216ft³

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Answer:

Plain burgers: 12

Double cheeseburgers: 9

Regular cheeseburgers: 12

Step-by-step explanation:

Let's use P, D, and R to represent the number of plain burgers, double cheeseburgers, and regular cheeseburgers, respectively.

Each plain burger requires 1 patty and 1 bun, so we can make a maximum of 12 plain burgers (since we have 12 buns).

Each double cheeseburger requires 2 patties, 1 bun, and 2 slices of cheese, so we can make a maximum of 9 double cheeseburgers with the available patties, buns, and cheese. (We have enough patties and buns for 18 burgers, but each double cheeseburger uses twice as many patties, so we divide the total number of patties by 2 to get the maximum number of double cheeseburgers we can make.)

Each regular cheeseburger requires 1 patty, 1 bun, and 1 slice of cheese, so we can make a maximum of 16 regular cheeseburgers with the available patties, buns, and cheese (since we have 16 slices of cheese).

To maximize our sales, we want to make as many of each type of burger as we can. Since we can only make 12 plain burgers, we should make all 12 of those. We can then make 9 double cheeseburgers (using 18 patties, 9 buns, and 18 slices of cheese), and 12 regular cheeseburgers (using 12 patties, 12 buns, and 12 slices of cheese).

So the final answer is:

Plain burgers: 12

Double cheeseburgers: 9

Regular cheeseburgers: 12

The area of the figure is equal to:

A = 28[tex]unit[/tex]² + 7[tex]unit[/tex]² + 7[tex]unit[/tex]² =42[tex]unit[/tex]²

You could also draw the shape on a grid and count the squares there: The rectangle has a 15 surface area. For instance, if the space is 15 m2 and each square is one meter in size (15 square meters).

Answer:

42[tex]units[/tex]²

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a rectangle plus the area of two triangles

Find the area of rectangle

Observing the graph

The area of rectangle is equal to

A= bh = (2+5)(2+2)= 28[tex]unit[/tex]²

Find the area of the top triangle

A = 1/2bh = 1/2(2+5)(2+2) = 7[tex]unit[/tex]²

Find the area of the bottom triangle

A = 1/2bh = 1/2(2+5)(2+2) = 7[tex]unit[/tex]²

the area of the figure is equal to

A = 28[tex]unit[/tex]² + 7[tex]unit[/tex]² + 7[tex]unit[/tex]² =42[tex]unit[/tex]²

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hi

im pretty sure the answer is

a. numerators

hope this helps

good luck;)

Answer:

A

Step-by-step explanation:

You have to add the numerator and keep the denominators the same! :)

Answer:

The correct answer is: domain: all real numbers, range: all real numbers greater than or equal to -5.

We can see that the function is a polynomial of degree 4, which means it is defined for all real numbers. Also, as x^4 is always non-negative, the minimum value of the function occurs when x=0, and it is f(0) = -4. Therefore, the range of the function is all real numbers greater than or equal to -4. However, since the function is increasing as we move away from 0, the range is actually all real numbers greater than or equal to the minimum value of -4 plus the vertical shift of -1, which is -5.

y = 5(10)ˣ is the equation for the  exponential function

The general form of the exponential function is y = abˣ

From the table, when x = 0, y = 5. Substitute the values into the function:

y = abˣ

5 = ab⁰             (Note: b⁰ = 1)

5 = a(1)

5= a

a = 5

Also, from the table, when x = 1, y = 50. Substitute the values into the function:

y = abˣ

50 = 5 × b¹

50 = 5b

5b = 50

b = 50/5 = 10

We can now write the equation for the exponential function:

y = abˣ

y = 5(10)ˣ

Therefore, the equation for the exponential function is y = 5(10)ˣ

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Answer:

x = 20

Step-by-step explanation:

2x + 24 = 64

2x = 40

x = 20

Let's check

2(20) + 24 = 64

40 + 24 = 64

64 = 64

So, x = 20 is the correct answer.

Answer:

[tex] \sf \: x = 20[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 2x + 24 = 64

Then the value of x will be,

→ 2x + 24 = 64

→ 2x = 64 - 24

→ 2x = 40

→ x = 40 ÷ 2

→ [ x = 20 ]

Hence, the value of x is 20.

The cost of $28 for 1 jacket. This can be expressed as a rate of $28 per 1 jacket or $28/jacket, where the unit is "jacket".

A unit rate is a rate that compares a quantity to one unit of another quantity. In other words, it is a rate that describes how much of one quantity there is per one unit of another quantity.

For example, if you drive 200 miles in 4 hours, the unit rate of your speed is 50 miles per hour, or 50 miles/hour. This means that you traveled 50 miles for every one hour of driving.

Unit rates are commonly used in many real-life situations, such as calculating miles per gallon in a car, the cost per pound of food at the grocery store, or the rate of interest on a loan.

A unit rate is a rate that compares a quantity to one unit of another quantity.

Out of the options given, the unit rate is:

Therefore, The cost of $28 for 1 jacket. This can be expressed as a rate of $28 per 1 jacket or $28/jacket, where the unit is "jacket".

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The model of the exponential function is y = 3.40(1.86)^x

From the question, we have the following parameters that can be used in our computation:

(6, 140) and (7, 260)

The exponential function for the model can be expressed as:

y = ab^x

Where

b = 260/140

b = 1.86

So, we have

y = a(1.86)^x

Substitute the known values in the above equation, so, we have the following representation

140 = a(1.86)^6

This gives

a = 140/(1.86)^6

Evaluate

a = 3.40

This means that

y = 3.40(1.86)^x

Hence, the function is y = 3.40(1.86)^x

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Answer:

The formula to calculate the minimum sample size required to estimate the population mean is given as:

n = (z^2 * σ^2) / E^2

Where,

z = the z-value for the given confidence level, which is 1.96 for c = 0.95

σ = the population standard deviation

E = the maximum error of estimate, also known as the margin of error

Plugging in the values, we get:

n = (1.96^2 * 9.1^2) / 1^2

n = 301.63

Rounding up to the nearest whole number, the minimum sample size required is 302.

Therefore, a sample size of at least 302 is needed to estimate the population mean with a 95% confidence level, assuming a population standard deviation of 9.1 and a maximum error of estimate of 1.

Step-by-step explanation:

Answer:

4.15 or

Step-by-step explanation:

100/20=5 times 3 is 15

so its 4.15 which equals 4 3/20

Answer:

46

Step-by-step explanation:

your add odd number 1,3,5,7,9,11,13...

Therefore, at least 49 street lights can be installed along one side of the street with equal distance between the lights.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

The distance between point A and B is AB, and the distance between point B and C is BC. Let's assume that the distance between each street light is "d".

Since there must be a street light at points A, B, and C, there will be a total of two gaps between these three street lights, which are AB and BC. Thus, the number of street lights required is equal to the sum of the lengths of AB and BC, divided by the distance "d" between the street lights, plus 1 for the street light at point B.

So, the total number of street lights required is

Number of street lights = (AB + BC) / d + 1

We know that AB = 1170 m and BC = 1625 m, and the distance between each street light should be equal. Therefore, we need to find the greatest common factor (GCF) of 1170 and 1625 to determine the distance between each street light.

1170 = 2 x 3 x 3 x 5 x 13

1625 = 5 x 5 x 13

The GCF of 1170 and 1625 is 65, which means the distance between each street light should be 65 meters.

Now we can calculate the total number of street lights required:

Number of street lights = (1170 + 1625) / 65 + 1

= 49

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Pattern blocks are shapes that are used to illustrate math equations. They can be used to represent addition, subtraction, multiplication and division. If five hexagons are stacked on top of each other, then the equation can be read as 5 x 1.

Pattern blocks are a great visual tool for teaching younger children basic multiplication. They can help children understand the concept of multiplication better, as well as help them to remember the equation. Pattern blocks are also a great way to show the relationship between addition and multiplication, since both equations can be represented using the same shapes. By using pattern blocks to illustrate multiplication equations, children can have a more concrete understanding of the concept.

For multiplication, there are two different ways to use pattern blocks. The first way is to use the number of sides on a pattern block to represent the multiplication equation. For example, if two hexagons are used to represent 2 x 2, then the equation can be read as two times two. The second way is to simply stack the pattern blocks in order to represent the equation. For example, if five hexagons are stacked on top of each other, then the equation can be read as 5 x 1.

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When compared to the value denoted by the same digit with in hundreds place, the value in the thousands place is 10 times greater.

We can determine the place value from every digit by looking at a place value chart, which is a highly helpful table format.

In the given number: 4,434.

thousands place : 4

hundreds place: 4

Thus, when compared to the value denoted by the same digit with in hundreds place, the value in the thousands place is 10 times greater.

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Answer:

Step-by-step explanation:

The number of terms in the expression is 2

From the question, we have the following:

20 - (4 to the second power divided by 2)

Express properly

so, we have the following representation

20 - (4^2/2)

A term is a mathematical expression that can be added or subtracted to form a larger expression.

For example, in the expression 3x + 2y - 5, each of the three parts (3x, 2y, and -5) is a term.

Using the above definition, we have the terms to be

20 and (4^2/2) i.e. 2 terms

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Option A is the correct answer as EF/QR = CE/SQ is not correct, as the triangles contain no vertex C.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Although having the same form, each might have different sizes.

There are no matching angles that are not equal.

Similar equivalent side ratios exist.

Given that, EFG and QRS are similar.

We know that for similar triangles the ratio of length of the segments of the corresponding triangle are equal.

Thus, EF/QR = CE/SQ is not correct, as the triangles contain no vertex C.

Hence, option A is the correct answer.

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The ball with the greater maximum height is the second ball

From the question, we have the following parameters that can be used in our computation:

f(t) - 4t^2 + 16t

g(t) = -16t^2 + 64t + 192

Differentiate and set them to 0

-8t + 16 = 0

-32t + 64 = 0

Solve for t

t = 2 in both cases

So, we have

f(2) = -4(2)^2 + 16(2) = 16

g(2) = -16(2)^2 + 64(2) + 192 = 256

Hence, the ball with the greater maximum height is the second ball

To do this, we set the function to 0 and calculate t

So, we have

f(t) = -4t^2 + 16t = 0

g(t) = -16t^2 + 64t + 192 = 0

Using a graphing tool, we have

t = 4

t = 6

This means that the first ball landed first

To change the term, we set the constant term in g(t) = -16t^2 + 64t + 192 to a negative number > -192

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Answer:

you go queen

Step-by-step explanation:

yas