Put your answer as a decimal. In the accompanying diagram. AABC is similar to A DEF. ZALD, and 2BE LE IF AB = 3, BC = 12. DE = x+ 2. and ef=18 find the value of x.

The parabola's equation is y = -x2 + 12x - 27.

A parabola is a point's location where the focus and a fixed point's distance from a fixed line, known as the directrix, are the same.

A parabola's equation is in quadratic form.

Thus, it is stated as:

Y = Ax2, Bx, and C

Located at (3, 0):

0 = a(3²) + b(3) + c

9a + 3b + c = 0 (1) (1)

Located at (9, 0):

0 = a(9²) + b(9) + c

81a + 9b + c = 0 (2) (2)

Located at (10, -7):

-7 = a(10²) + b(10) + c

100a + 10b + c = -7 (3) (3)

Equations 1, 2, and 3 are solved to yield: a = -1, b = 12, and c = -27.

Consequently, the parabola's equation is y = -x2 + 12x - 27.

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Answer:   (f - g)(x) = -x^2+4x+6

Work Shown:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = (4x+1) - (x^2-5)

(f - g)(x) = 4x+1 - x^2+5

(f - g)(x) = -x^2+4x+(1+5)

(f - g)(x) = -x^2+4x+6

Answer:

400 mg

Step-by-step explanation:

There are 24 hours in a day. 250mg every 12 hours is 250x2=500.

500×20=10,000

10,000x.04=400

[tex]\textit{area of a rectangle}\\\\ A=Lw ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ L=a+5\\ w=a-2\\ A=60 \end{cases}\implies 60=(a+5)(a-2) \\\\\\ 60=\stackrel{F~O~I~L}{a^2+3a-10}\implies 0=a^2+3a-70 \\\\\\ 0=(a+10)(a-7)\implies a= \begin{cases} -10\\\\ 7 ~~ \textit{\LARGE \checkmark} \end{cases}[/tex]

notice, we didn't use the negative value, valid though as it is, because in this case "a" can't be negative.

Answer:

it depends on what is z for, if it's for the whole triangle then i would think it would be 2z - 4 10 and 7 added or multiplied. Or it could be 2z -4 witch would be z = 2

The distance it travel in 17litres petrol: 8.024km

What is Distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.

Given,

The distance traveled in 201 petrol = 95km

The distance traveled in 1 liter = 95/201

                                                  = 0.472km

Now, we have to find out how many km does it travel in 17liter:

The distance traveled in 17liters = 17 x 0.472

                                                     = 8.024km

Hence, it travels 8.024km in 17 liters petrol

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In linear functions, there is a constant difference between the y-values on a table. This means that it increases or decreases by the same amount per every equal interval.

For instance: 2, 4, 6, 8 ⇒ Constant difference of 2 every 1 term

To find the constant difference for this set of values, determine the constant difference (y), and by what interval this difference occurs (x).

Looking at the first two rows of the table, we now know that for every increase in 3 in the x-values yields an increase of 15 in the y-values.

We can write it like a fraction, with difference in y on top and difference in x at the bottom:

[tex]\dfrac{15}{3}[/tex] ⇒ [tex]5[/tex]

Congratulations! We have now found the slope of the line.

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

Plug in our slope, and solve for the y-intercept by using one of the given points from the table:

[tex]y=5x+b\\-10=5(-1)+b\\-10=-5+b\\b=-5[/tex]

Plug this back into the equation:

[tex]y=5x-5[/tex]

To find n, plug in 20 as y and solve:

[tex]20=5n-5\\25=5n\\n=5[/tex]

n = 5

The expression -8 (5y - 9) is equals to - 40y + 72

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).

In other words, a mathematical expression is any combination of numbers, letters, and relational operators.

Therefore, the following expression can be express in an equivalent form as follows:

Equivalent expressions are expressions that work the same even though they look different.

Hence,

-8 (5y - 9)

open the bracket

-8 (5y - 9) = - 40y + 72

Therefore, the equivalent expression of -8 (5y - 9) is - 40y + 72

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No. The pace of change affects the y-value, therefore having a higher beginning value does not guarantee it. The output may decrease if the function with the bigger beginning value has a slower rate of change.

This is further explained below.

Generally, No. Even if the function had a higher beginning value, it does not always follow that it would always have a higher y-value. This is because the y-value also relies on the rate of change.

In conclusion, If the function with the higher beginning value has a slower rate of change, it is possible that the output may become smaller at some time in the future as a consequence of this.

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The probability of the car encountering it's first red light on the third day, i.e., P(Y = 3) will be 0.1479

As per the question statement, assuming that "Y" denotes the number of days pass up to and including the first day on which the car encounters a red light, a traffic light at a certain intersection is green 55% of the time, yellow 10% of the time, and red 35% of the time and a car approaches this intersection once each day.

We are required to calculate the probability of the car encountering it's first red light on the third day, i.e., P(Y = 3)

Here, Probability of encountering a Red light = 0.35, since traffic light at the intersection is red 35% of the time.

And "Y" is the number of days that pass up to and including the first time the car encounters a red light, i.e.,

The distribution here is a geometric one, where

P(Y = 3)

= P(Not red light in initial 2 lights) * P(red light in third light)

= [(1 - 0.35)² * 0.35]

= 0.1479

Probability: It is a branch of Mathematics, that deals with the numerical descriptions concerning the extent to which an event is likely to occur, or how likely it is for a proposition to be true, and is measured by the ratio of the favorable cases to the whole number of cases possible.

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Answer:

Vertex (−3, 0), Range: {y | 0 ≤ y < ∞}

Step-by-step explanation:

See attached graph.

Answer:

x = 12 is the x-axis intercept

Step-by-step explanation:

'x-intercept'   is short for  'x-axis intercept'  <==== when the graph crosses the x axis, y = 0      so put y = 0   in the equation

y = -2/3 x + 8

0 = -2/3 x + 8

-8 = - 2/3x

x = 8 * 3/2 = 12

Type: Positive

Answer: y = 3/2x + 4

Formula: Rise | up = positive | down = negative

------

Run | right = positive | left = negative

Make sure to find 2 perfect points

aight i dont know what I did, but did it helped?

The estimate of the cost to travel 455 miles as required in the task content is; $63.4.

It follows from the task content that the cost of travelling 455 miles is to be determined from the given information.

Hence, this is two-step problem.

First, since the car gets 28 miles per gallon, the amount of gas needed to travel 455 miles by proportion is;

455/28 = 16.25 gallons.

Also, since the cost per gallon as in the complete task content is; $3.899.

The cost of 16.25 gallons is; 16.25 × $3.899

= $63.4.

Remarks: Gas costs $3.899 per gallon.

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Answer:

ST/VW = TR/WU

40/16 = 65/VW

2.5 = 65/VW

2.5VW = 65

VW = 65/2.5

VW = 26

She need 5 minutes to reach each page.

In mathematics, the absence of acceleration is referred to as a constant rate. A function that has a constant rate typically has a second derivative of 0.

The function would be plotted as a straight line on a piece of graph paper if the change in y (or rate) were constant. When anything moves at a fixed, steady pace or at an average speed, it is said to be moving at a constant rate, also known as a uniform rate. For instance, 3 hours pass while driving. In the first hour, it travels 30 miles, in the second hour, 45 miles, and in the third hour, 75 miles.

Given,

time she needs to read 8 pages = 40 minutes

time she needs to read 1 pages = 40/8

=5 minutes

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Answer:

b. False

Step-by-step explanation:

The number of costumers that visit your store is a DISCRETE variable because is the set of countable costumers. We count a whole person not parts of a person.

For a continuous variable we are allowed to take any value in an interval. In our case we can not say we had 3.4 costumers. We can say the costumer bought 3.4 gallons of gas for their car.

number or costumers →discrete variable

number of gallons of gas →continuous variable

b. False

Answer:

y - axis

Step-by-step explanation:

point moves from right to left

The equation describing the function f(x) = y = 4x - 8

We have a linear function f(x) as shown in the graph.

The Slope - intercept form of the equation of a straight line exists as follows:

y = mx + c

where m is the slope of the line

c be the intercept of the line on the y-axis.

Let c = - 8 be the intercept of the line on y - axes.

Intercepting coordinates on y - axes = (0, -8).

Intercepting coordinates on x - axes = (2, 0).

Slope = m =  = 4

Therefore, the equation representing the function f(x),

y = 4x - 8.

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Answer: x = 72 degrees

Step-by-step explanation:

A Pentagon has 540 degrees in total

Divide 540 by the number of angles you have

540 / 5 = 108 degrees

The x angle is on a flat line with the other angle, when you add them you will get 180

So subtract 108 from 180

180 - 108 = x = 72 degrees

The transformations that take triangle ABC to triangle A'B'C' are given as follows:

Reflection over the line y = B.

Translation up and right.

These following categories are used to group transformations on a function's graph.

Translation: The figure's position can be changed by moving to the left, right, or up/down.

Reflections: These can occur over a line or on one of the axes, shifting the direction that the figure is facing.

Rotations: Changing the figure's inclination across a degree measure.

Dilation: The scale factor is multiplied by the coordinates of the original form's vertices, affecting the side lengths of the figure.

The modifications brought about by these transitions are particularly significant in the context of this issue.

For this issue, the triangle's orientation altered, causing a reflection to take place. Since B was the bottom vertex of ABC and is now at the top of A'B'C', the line of reflection is y = B.

B and B' would be in the same place if it weren't for the reflection. A translation up and right was also utilized because A'B'C' lies above and to the right of the line of reflection.

There were no rotations or dilations because the inclination and side lengths were constant.

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Answer:

-1.47, 1.14 to 2 decimal places.

Step-by-step explanation:

3x^2 + x - 5 = 0

3(x^2 + 1/3x) - 5 = 0

Completing the square on the expression in the parentheses:

3[(x + 1/6)^2 - 1/36) - 5 = 0

3(x + 1/6)^2 - 1/12 - 5 = 0

(x + 1/6)^2 = 61/12 / 3

(x + 1/6)^2 = 61/36

(x + 1/6) = +/-√61 / 6

x = -1/6 +/- √61 / 6

x = 1.135, -1.468

Answer:

x <-5 or x> 1/2

Step-by-step explanation:

I hope this helps! If it does would you please mark me brainliest?

Answer: ask candice

Step-by-step explanation:

Answer:

x = 75

Step-by-step explanation:

The triangle on the right is an equilateral triangle. This means each angle is 60 degrees.

The bottom angle which goes over both triangles is marked as a right angle (90 degrees). Given that the part of that angle in the equilateral triangle is 60 degrees, the rest of the angle (i.e. the part of the angle in the other triangle) is 30 degrees.

It is implied by the markings that the angle x = the other angle at the top (although this should be clearer). Assuming this is the case, we can use the rule that angles in a triangle sum to 180 degrees, to say that:

x + x + 30 = 180

Combine like terms, rearrange and simplify:

2x + 30 = 180

2x = 150

x = 75

Answer:

c + d = 180 (property of 2 angles on a line), we can say that d = 180 - c

a + b + c = 180 (property of a triangle), we can say that a + b = 180 - c

therefore a + b = d

Step-by-step explanation:

Answer:

12.75

Step-by-step explanation:

The slope and y-intercept of each line are:

13. slope = 1/2; y-intercept: 0.

14. slope = 3; y-intercept: 0.

15. slope = -2/5; y-intercept = 0.

16. slope = -1; y-intercept = 1.

17. slope = -2/3; y-intercept = -4.

18. slope = 1; y-intercept = 0.

19. 7/9

20. 3/5

The slope and y-intercept of a line can be determine from the given equation of a line in slope-intercept form, y = mx + b, where:

13. y = 1/2x,

The slope = 1/2

The y-intercept of the equation is: 0.

14. y = 3x,

The slope = 3

The y-intercept of the equation is: 0.

15. y = -2/5x,

The slope = -2/5

The y-intercept of the equation is: 0.

16. y = -x + 1

The slope = -1

The y-intercept of the equation is: 1.

17. y = -2/3x - 4,

The slope = -2/3

The y-intercept of the equation is: -4.

18. y = x,

The slope = 1

The y-intercept of the equation is: 0.

19. Slope = change in y / change in x = (18 - 11)/(19 - 10)

Slope = 7/9

20. Slope = change in y / change in x = (2 -(-1))/(9 - 4)

Slope = 3/5

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Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. Therefore, the value of k is -7.

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We need to know about mixed fractions to solve the problem. The simplified answer is -119/12.

Mixed fractions is a fraction that is represented by it's quotient and remainder. Mixed fractions are solved by multiplying the denominator with the number in front and then adding the numerator to it, to get the numerator of the simple fraction, the denominator of the simple fraction remains same. In the given question we need to simplify the mixed fractions and then solve it.

[tex]-3\frac{1}{4} -6\frac{2}{3}[/tex] = -13/4-20/3=-39-80/12=-119/12

Therefore the simplified answer is -119/12, option (a) is the correct answer.

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Answer:

119 over 12

Step-by-step explanation:

Answer:

Family 2: A married couple with two children who are in school. Both adults are working 40 hours per week with one making $16 per hour while the other makes minimum wage. One of these workers pays $25 per month in union dues.

Step-by-step explanation: