The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:

Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 36, 0. The vertex is at 18, 32.

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)

Part B: What is an approximate average rate of change of the graph from x = 5 to x = 15, and what does this rate represent?

Answers

Answer 1

Answer:

I've been looking for the same answer lmk I got it


Related Questions

Please help me !! Giving brainliest!!

Answers

Answer:

O 4th option : (-4, -2)

Step-by-step explanation:

⇒ 9x - 9y = -18

⇒ -6x + 9y = 6

3x = -12x = -4

9(-4) - 9y = -18-36 - 9y = -18-9y = 18y = -2

⇒ (x , y)

(-4, -2)

Answer:

(-4, -2)

Step-by-step explanation:

When using the elimination method, we combine the equations to get one. To combine them, we have to find a term with a number that is either positive or negative to the other, example : -6y and 6y, or 4x and -4x. We then take them and combine both equations to get one. Becuase they are the same, they simply cancel each other out.

9x - 9y = -18

-6x + 9y = 6

3x = -12

Divide both sides by 3 to get x alone

x = -4

Now, to find the y value, we can now plug in what we found for x.

9(-4) - 9y = -18

-36 - 9y = -18

Add 36

-9y = 18

Divide by -9

y = -2

Therefore making the solution, (-4, -2)

Sam ran 2
5
4

miles last weekend. This weekend he ran 3
5
1

miles. How many miles did he run in all?

Answers

In total he ran 19 miles based off of how the question looks. It looks like I needed to add each number up.

Can yall help me with this

Answers

Answer:

2 the elevators height after one second

the number 94 is decreased to 86. what is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

8.5%

Step-by-step explanation:

8.5% of 94 is 7.99 which is closest we can get round to the nearest tenth of a percent.


A parking lot has 208 parking spots divided into equal rows. The total number of rows is
between 10 and 15. How many rows are in the parking lot?

Answers

It would be 13. If you divide 208 by those numbers only 13 is a real number.

18 YEARS AGO MIKE STARTED HIS
SAVINGS ACCOUNT WITH $4,500.00 From
THE SALE OF HIS CAR TODAY, MIKE'S
ACCOUNT HAS*23,400.00
WHAT IS THE INTEREST RATE ON THIS
ACCOUNT?

Answers

Answer:

23.3%

Step-by-step explanation:

Formula: I=PRT (Interest=Principal*Rate*Time)

I=23400-4500=18900

18900=4500*R*18

18900=81000R

R=18900/81000=0.233... Rounds to 23.3%

elisha has 5.67 bags of coffee. a full bag weighs 4.2 pounds how many pounds of coffee does elisha have?​

Answers

Answer:

23.814

Multiply the amount of bags by the amount of pounds in each bag.

[tex]5.67 * 4.2 = 23.814~pounds[/tex]

20/23 as a decimal rounded to the nearest tenth

Answers

Answer:

0.9

Step-by-step explanation:

20/23 = 0.869565217, which rounded to the nearest tenth is 0.9

What value of n makes the equation 4(0.5n − 3) = n − 0.25(12 − 8n) true?

3




-9




0




-1

Answers

Answer:

n = -9

Step-by-step explanation:

4(0.5n − 3) = n − 0.25(12 − 8n)

2n - 12 = n - 3 + 2n

2n - 12 = 3n - 3

2n - 3n =  - 3 +12

-1n  = 9

n = -9

a. (-2,4) (-1,1) (-3,-1) (-5,2)
b. (2,4) (1,1) (3,1) (5,2)
c. (4,2) (1,1) (1,3) (2,5)
d. (4,-2) (1,-1) (-1,-3) (2,-5)

Answers

Answer:

S'(4, -2) and T'(1, -1) and U'(-1, -3) and V'(2, -5)

Step-by-step explanation:

[tex]Find\ the\ coordinates\ of\ the\ point\ after\ reflected\ in\ the\ line\ of\ symmetry:\\ \downarrow\\ S'(-4,-2)\ and\ T'(1,-1)\ and\ U'(-1,-3)\ and\ V'(2,-5)[/tex]

I hope this helps you

:)

Help me asap!!!
Stem leaf
1
2, 4, 8
2
3,3,5
3
Mean=
2, 5
Median =
Mode =
Range =
-
-
A triangle has angles measuring 35º and 65º. What is the measure of the triangle's third

Answers

Answer:

Mean=30

Median=30.5

Mode=None

Range=11

Step-by-step explanation:

The mean is all the numbers added together then divided by how many numberes there are.

24+28+33+35=120

120/4=30

Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33

28+33=61

61/2=30.5

Mode is the number most seen in the data set. Theyre all seen once so no mode

Range is the highest value subtracted from the lowest.

24-35=11

Ramon and Hector ride their bikes at constant rate during race Raven rides 45 miles and 3 hours the distance Y in miles hector rides in x hours is given by the equation y=18x

Answer choices:

Ramon rides his bike 3 miles per hour faster than Hector it rides his bike

Ramon rides his bike 27 miles per hour faster than Hector rides his bike

ramon rides his bike 3 miles per hour slower than Hector rides his bike

Ramon rides his bike 27 miles per hour slower than Hector rides his bike ​

Answers

The third option is right. Raman rode 3miles/hr slower than Hector

Step-by-step explanation: Distance covered by Raman is 45miles In 3hours., his speed is 15miles/hr

Raman: 45=15×3 (45miles in 3hrs)

Hector: y=18× (54miles In 3hrs)

Distance = speed ×time

Write an equation of the line with a slope of 0 and y -intercept of 5 .

y =

Answers

Answer:

y = 5

Step-by-step explanation:

y = mx + c

y = 0x + 5

y = 5

This gives a flat line where y is always 5

If the radius of a sphere is increasing at the constant rate of 3 centimeters per second, how fast is the volume changing when the surface area is 10 square centimeters

Answers

How fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.

To solve the question, we need to know the volume of a sphere

Volume of a sphere

The volume of a sphere V = 4πr³/3 where r = radius of sphere.

How fast the volume of the sphere is changing

To find the how fast the volume of the sphere is changing, we find rate of change of volume of the sphere. Thus, we differentiate its volume with respect to time.

So, dV/dt = d(4πr³/3)/dt

= d(4πr³/3)/dr × dr/dt

= 4πr²dr/dt where

dr/dt = rate of change of radius of sphere and 4πr² = surface area of sphere

Given that

dr/dt = + 3 cm/s (positive since it is increasing) and 4πr² = surface area of sphere = 10 cm²,

Substituting the values of the variables into the equation, we have

dV/dt = 4πr²dr/dt

dV/dt = 10 cm² × 3 cm/s

dV/dt = 30 cm³/s

So, how fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.

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What is the rate of change in the function below? y=2x+7

Answers

Answer:

2

Step-by-step explanation:

m is the slope

y=mx+b

y is equation

m is slope (movement)

b is base

Julia's family wants to save for her four-year college education. After some research, they
estimate that the total cost for a state school will be about $72,000. They have saved $50,000
so far, and Julia is 14 years old. If her family saves $250 a month for the next 4 years, how much
money will Julia need in financial aid to pay for her education?

Answers

Answer:

She will need $10000 in financial aid

Step-by-step explanation:

Step 1:  Determine the money in 4 yeras

$250 a month * (4 years * 12 months per year)

$250 a month * (48 months)

$12000

Step 2:  Determine the total amount

$50000 + $12000

$62000

Step 3:  Determine the difference

$72000 - $62000

$10000

Answer:  She will need $10000 in financial aid

Answer:

She will need $10000 in financial aid

Step-by-step explanation:

Step 1:  Determine the money in 4 yeras

$250 a month * (4 years * 12 months per year)

$250 a month * (48 months)

$12000

Step 2:  Determine the total amount

$50000 + $12000

$62000

Step 3:  Determine the difference

$72000 - $62000

$10000

Answer:  She will need $10000 in financial aid

if the population of a city is 158,000 and is
decreasing by 8% every year, what will the
population be in 5 years?

Answers

Answer:

~ 104 135

Step-by-step explanation:

Decreasing by 8% each year means  92% is left each year

Formula

  FV = PV ( i)^n       FV = population in future  PV = pop now  

                                       i = 92% in decimal form = .92     n = years = 5

FV = 158000(.92)^5 = 104135

A percentage is a way to describe a part of a whole. The population of the city after 5 years will be 104135.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the population of a city is 158,000 and is decreasing by 8% every year. Therefore, the population of the city after 5 years will be,

Population after 5 years = 158,000(1-0.08)⁵

                                          = 158,000 × 0.659

                                          = 104134.8807 ≈ 104135

Hence, the population of the city after 5 years will be 104135.

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WILL GIVE BRAINLIEST:

each graph shows a relation the first and second numbers of each ordered pair in the relation are members of the set of real numbers in each case find the domain and the range of the relation and determine whether the relation is a function

Answers

Answer:

see the explanation

Step-by-step explanation:

the half-circle is a function because there is only one x value for each y value

the full circle is a relation becaue he circle intersects the y-axis at 1 and -1

Answer:

For the second one:

Domain: -2≤x≤2

Range: -2≤y≤2

The relation is not a function

Step-by-step explanation:

For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050

Answers

The year the model would most likely  be sufficient to make a prediction of the population is 2005.

What year would be sufficient to make a prediction?

The model of the population is an exponential function. An exponential function usually has the form: [tex]ab^{x}[/tex]. An exponential function is usually most accurate when the time horizon of prediction is the shortest. Based on the options, the shortest time after 2000 is 2005.

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The graph of a linear function is shown on the grid.
Which function is best represented by this graph?

Answers

Answer:

its the fourth one g(x)=-⅔x+4

Step-by-step explanation:

the incline of the graph is down , and the point the graph meets y axis is +4

Answer:nits c

Step-by-step explanation:

Solve the system y=-x+7 and y=-.5(x-3)^2+8

Answers

The answer is in between the numbers of 5 to 3

What is the measure of the missing angle?

Answers

Answer:

for find

97 + 47

144

so --

triangle property

180 - 144

36

missing angle is 36

Answer:

36°

Step by step explanation:

✿Determine the measure of angle x

Step 1:

Add together the known angles

97° + 47° = 144°

Step 2:

Subtract the sum from 180°

180° - 144° = 36°

"so the final answer would be the missing angle"

Figure ABCDE is similar to figure LMNOP.

10 in

M

9 in

L

7. 5 in

B

D

pin

N

12 in

A

8 in

E

What is the value of p in inches?

A. 6 in

B. 10. 6 in

C. 10. 8 in

D. 7. 5 in

Answers

C 10.8 in would be the answer

Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.

1, 3, 6, 10, 15, …
My answer below:
3 + 1 = 4
3 - 6 = -3
so, I get neither?

Answers

Sequence: 1, 3, 6, 10, 15, …

If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]

If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]

Check for arithmetic:

[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]

[tex]\sf \rightarrow 3 =3.5[/tex]    Hence, the sequence is not arithmetic

Check for geometric:

[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]

[tex]\sf \rightarrow 3 = \sqrt{6}[/tex]   Hence, the sequence is not geometric

Solution:

Neither

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]

[tex] \textsf{and} [/tex]

[tex] \textsf{If the ratio of successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex]

[tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]

Hope it helps ~

This is due tonight please help!

Answers

C. 3^6 or 729 in a alternative form.
D. 49/9 . or in simplest form 5 4/9 . or in decimal form 5.4

Frank works at a convenience store. He earns 7.50 per hour when he works during the day. He earns 12.50 per hour when he works at night. He wants to San at least 300 per week. Which graph best represents this situation?

Answers

Answer:

7.50x + 12.50y = 300

Step-by-step explanation:

7.50x+12.50y=300 hope this helps

helppppp pleaseeeeeee.

Answers

The area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of rectangle and (b) is the width of the rectangle

The given figure is in two parts. It is made with 2 semicircles and 1 rectangle. The length of the rectangle part is 8 ft and width of it is 4 ft long. Thus, the area of this part is,

[tex]A_r=8\times4\\A_r=32\rm\; ft^2[/tex]

There are two semicircles, which make one complete circle. Thus, the area of this two semicircle with radius 2 ft, is,

[tex]A_c=\pi \times2^2\\A_c=12.57\rm\; ft^2[/tex]

Thus, the area of this composite figure is,

[tex]A=A_r+A_c\\A=32+12.57\\A=44.57\rm\; ft^2\\A=44.6\rm\;ft^2[/tex]

Thus, the area of the figure which consist the two semicircles and one rectangle with 4×8 ft dimensions is 44.6 ft².

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Point A has coordinates (0,4).
Point B has coordinates (1,6).
Point C has coordinates (2,0).
Find an equation of the line that passes through C and is perpendicular to AB.
equation needs to be in the form ax+by= c
a and b need to he integers ASAP PLS HELP

Answers

Answer:

x - 6y - 2 = 0

Step-by-step explanation:

Let “m” be the slope of line AB

and “a” be the slope of the line that passes through C and is perpendicular to AB

Then

[tex]m = \frac{6-0}{1-2} =-6[/tex]

The second line is perpendicular to AB

then

m × a = -1

then

-6 × a = -1

then

[tex]a=\frac{1}{6}[/tex]

C(2,0) lies on the line of equation y=ax+b

⇔ C(2,0) lies on the line of equation y=(1/6)x+b

⇔ 0 = (1/6)×2 + b

Then b= -1/3

Therefore Our equation is :

y = (1/6)x - 1/3

⇔ 6y = x - 2

⇔ x - 6y - 2 = 0

which of the following statements are true​

Answers

Answer:

B, D, E

Step-by-step explanation:

Got it right on edge 2022

Solve for X.
[tex]\frac{3}{x} =9[/tex]

Answers

Answer:

[tex]x=\frac{1}{3}[/tex]

Step-by-step explanation:

You cross multiply the x under 3 and multiply it by 9;

[tex]3=9x[/tex]

Divide both sides by 9;

[tex]\frac{3}{9} =x[/tex]

3/9 can also be called 1/3;

[tex]x=\frac{1}{3}[/tex]

Hope This Helps! :)

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