Given the function h(x)=-x^2+x+4, determine the average rate of change of the function over the interval −1≤x≤5.

Answers

Answer 1

Answer:

average rate of change of h(x) on −1 ≤ x ≤ 5 is then 5

Step-by-step explanation:

   

                                            change in h(x)

average rate of change = ------------------------

                                            change in x

Calculate h(x) at the interval endpoints:  -1 ≤ x ≤ 5, and then subtract h(5) from h(-1):

h(5) = (5)² + 5 + 4 = 34

h(-1) = (-1)² -1 + 4 = 4

change in h(x) = 34 - 4 = 30

change in x:  5 - (-1) = 6                                                 30

average rate of change of h(x) on −1≤x≤5 is then  ------------- = 5

                                                                                         6


Related Questions

Help I will be marking brainliest!!!

A. 201.32
B. 37.24
C. 96
D. 126.32

Answers

Answer:

96

Step-by-step explanation:

su=153

ts=57

su-ts=tu

153-57=96

tu=ou

ou=96

Answer:

A

Step-by-step explanation:

Find length of segment > Been so long i did this problem

How I get answer by simplify

SU = 153

Multiply to CO =75

Divide that 57

Which get 201.31 ,But your question round nearest hundredth

201.32

Answer : A

~~~~~~~~~~~~~~~~~~~~~~~

" Problem it said look carefully" Round nearest hundredth

x - 2y < 0


hello !! I'm trying to get y by itself so I can graph this, I think the answer is

[tex]y < \frac{x}{2} [/tex]
but I'm not entirely sure

if anyone can help me with this that'd be awesome !!

Answers

I believe you are correct y< x/2 but i am not sure

Your school's FFA chapter is selling candy bars to raise money. A regular sized chocolate bar (x) sell for $2 and King sized chocolate bar (y) sell for $3. They want to make more than $35.


They can sell at most 15 candy bars


Select all points that are solutions to this system of inequalities


A) (2,12)

B) (10,5)

C) (6,8)

D) (14,2)

E) (8,4)

F) (12,12)

G) (4,10

Answers

B, c, f hope this helps

7. Maria quiere agrandar la foto de su
graduación de manera proporcional de
tal manera que su área sea 16 veces la
de la original. Si la que se muestra a
continuación tiene las medidas de la
foto original, ¿cuál será el perimetro de
la nueva foto?
6
24
960
450
240
76​

Answers

Answer:

the perimeter is 960

Step-by-step explanation:

The computation of the perimeter is shown below;

If we assume

= (24 × 2) + (6 × 2)

= 48 + 12

= 60

And, the area is 16 times to that of original So

= 60 × 16

Hence, the perimeter is 960

find missing measure​

Answers

Answer:

Step-by-step explanation:

∠Q = 180-∠T = 89°

∠S = 360-∠T-∠Q-∠R = 360-91-89-27 = 153°

At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from South American countries? Construct a double number line if needed.

Answers

Answer:

10

Step-by-step explanation:

100% = 40 teams

1% = 40 ÷ 100 = 0.40

25% = 0.40 x 25 = 10

Answer:

10

Step-by-step explanation:

100%/4=25%

40/4=10

You have to divide 100% by 4 because 25 goes into 100 four times.

What ever you do on the bottom or top you to do it top or bottom.

So 40 divide by 4 is 10.

Then you have you answer.

5.2.PS-14
Find 3 ratios that are equivalent to the given ratio.
10:16

Answers

Step-by-step explanation:

three ratios equivalent to 10:16

5:8, 20:32, 100:160

Rafael was asked to construct a square inscribed in a circle. He drew a circle and
a diameter of the circle. Describe how to complete his construction. Then, complete
the construction.

Answers

Answer:

here you go

Step-by-step explanation:

Please help! Do not take points or give answer without explanation or you will be reported!
Solve the binomial.
(1/2y - 50)(3/5y + 10)

Answers

Answer:

-24 7/10y - 500

Step-by-step explanation:

Use the distributive property to solve this question.

Distribute the 1/2y and the -50 over the next bracket.

(1/2y - 50)(3/5y + 10) = 1/2y(3/5y) + 1/2y(10) + - 50(3/5y) + - 50(10)

                                 = 3/10y + 5y - 30y - 500

                                 = -24 7/10y - 500

I hope this helps :)

Please help this is due in 30 minutes!

Answers

Answer:

a. 8 1/4

Step-by-step explanation:

so 2*4= 8, that part is easy.

1/8*2= 2/8 because when you multiply whole numbers with fractions, you're basically multiplying it with a one as the denominator, so in this case, 1/8*2/1. which again equals 2/8. simplify 2/8 and you'll get 1/4.

put them together and you'll get 8 1/4

Answer:

A) 8 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

4 [tex]\frac{1}{8}[/tex] = 4.125

4.125×2=8.25=8 [tex]\frac{1}{4}[/tex]

PLEASE HELP WILL BRAINLIST (20 POINTS)

Answers

Answer:

x=2/3+1/3[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2−4x−2=0

For this equation: a=3, b=-4, c=-2

3x2+−4x+−2=0

Step 1: Use quadratic formula with a=3, b=-4, c=-2.

Learning Task 1 4/625 11. 796 A. Simplify the radical expressions 1. V63 6. V24 2. 48 7. 781 3. 775 8. V128 4. 99 9. 340 5. 92 12. 128 13. 4/243 14. V3000 10. V135 15.

Answers

Question:

Simplify the radical expressions

[tex]1.\ \sqrt{63[/tex]     [tex]2.\ \sqrt{48[/tex]    [tex]3.\ \sqrt{75[/tex]      [tex]4.\ \sqrt{99[/tex]      [tex]5.\ \sqrt{92[/tex]

[tex]6.\ \sqrt[3]{24}[/tex]      [tex]7.\ \sqrt[3]{81}[/tex]      [tex]8.\ \sqrt{128}[/tex]     [tex]9.\sqrt[3]{40}[/tex]     [tex]10.\ \sqrt[3]{135}[/tex]

Answer:

[tex]\sqrt{63}= 3 \sqrt7[/tex]

[tex]\sqrt{48} = 4\sqrt{3}[/tex]

[tex]\sqrt{75} = 5\sqrt{3}[/tex]

[tex]\sqrt{99} = 3 \sqrt{11[/tex]

[tex]\sqrt{92} = 2\sqrt{23[/tex]

[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]

[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]

[tex]\sqrt{128} = 8 \sqrt{2}[/tex]

[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]

[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]

Step-by-step explanation:

[tex]1.\ \sqrt{63[/tex]    

Express 63 as 9 * 7

[tex]\sqrt{63}= \sqrt{9 * 7[/tex]

Split:

[tex]\sqrt{63}= \sqrt{9} * \sqrt7[/tex]

[tex]\sqrt{63}= 3 * \sqrt7[/tex]

[tex]\sqrt{63}= 3 \sqrt7[/tex]

[tex]2.\ \sqrt{48[/tex]    

Express 48 as 16 * 3

[tex]\sqrt{48} = \sqrt{16*3}[/tex]

Split

[tex]\sqrt{48} = \sqrt{16}*\sqrt{3}[/tex]

[tex]\sqrt{48} = 4*\sqrt{3}[/tex]

[tex]\sqrt{48} = 4\sqrt{3}[/tex]

[tex]3.\ \sqrt{75[/tex]    

Express 75 as 25 * 3

[tex]\sqrt{75} = \sqrt{25*3}[/tex]

Split

[tex]\sqrt{75} = \sqrt{25}*\sqrt{3}[/tex]

[tex]\sqrt{75} = 5\sqrt{3}[/tex]

[tex]4.\ \sqrt{99[/tex]  

Express 99 as 9 * 11

[tex]\sqrt{99} = \sqrt{9} * \sqrt{11}[/tex]

Split

[tex]\sqrt{99} = 3 \sqrt{11[/tex]

[tex]5.\ \sqrt{92[/tex]

Express 92 as 4 * 23

[tex]\sqrt{92} = \sqrt{4} * \sqrt{23[/tex]

[tex]\sqrt{92} = 2* \sqrt{23[/tex]

[tex]\sqrt{92} = 2\sqrt{23[/tex]

[tex]6.\ \sqrt[3]{24}[/tex]    

Express 24 as 8 * 3

[tex]\sqrt[3]{24} = \sqrt[3]{8} * \sqrt[3]{3}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{24} = \sqrt[3]{2^3} * \sqrt[3]{3}[/tex]

[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]

[tex]7.\ \sqrt[3]{81}[/tex]

Express 81 as 27 * 3

[tex]\sqrt[3]{81} =\sqrt[3]{27}*\sqrt[3]{3}[/tex]

Express 27 as 3^3

[tex]\sqrt[3]{81} =\sqrt[3]{3^3}*\sqrt[3]{3}[/tex]

[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]

[tex]8.\ \sqrt{128}[/tex]    

Express 128 as 64 * 2

[tex]\sqrt{128} = \sqrt{64} * \sqrt{2}[/tex]

[tex]\sqrt{128} = 8 \sqrt{2}[/tex]

[tex]9.\sqrt[3]{40}[/tex]

Express 40 as 8 * 5

[tex]\sqrt[3]{40} = \sqrt[3]{8} * \sqrt[3]{5}[/tex]

[tex]\sqrt[3]{40} = \sqrt[3]{2^3} * \sqrt[3]{5}[/tex]

[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]

[tex]10.\ \sqrt[3]{135}[/tex]

Express 135 as 27 * 5

[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]

Express 27 as 3^3

[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]

[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]

Steve has 10 biscuits in a tin.
There are 6 digestive and 4 chocolate biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.

Answers

Answer:

31/90 is the prob.

Step-by-step explanation:

sorry if this is incorrect :9

ty for reading :9

Ramon and his brother go to an amusement park. They each go on the Ferris wheel that costs $6 per ticket and a roller coaster that costs $9 per ticket. Ramon pays for all the tickets. How much does Ramon pay altogether?

Answers

Answer:

6+6=12

9+9=18

12+18=30

30 dollars

Answer:

$30

Step-by-step explanation:

6+6=12

9+9=18

18+12=30

I would assume this was the right answer if not i would need more information to go with the question

Can someone help me with this please and thanks :)

Answers

Y=2x+1 is the correct answer

How many groups of 3/4 are in 6 and 1/2

Answers

3/4 goes into 6 eight times and 1/2 goes into 6 twelve times.

Hope that helps!!

the length of the edge of a cube is ³√7 cm. Find the volume of a cube​

Answers

Answer:

7 [tex]cm^{3}[/tex]

Step-by-step explanation:

volume is length X width X height

since a cube has the same measurement for length, width, and height, the volume is found by multiplying [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex] X [tex]\sqrt[3]{7}[/tex]

the answer is 7

Angle EFG is 80
Find side of angle x

Answers

80+x+x=180 (angle sum property)
80+2x=180
2x=180-80
2x=100
x=100/2
x=50

mgcvpzbi
Write the equation for the line that passes through (3,0) and is
parallel to the line 2x + 5y = 30.

Answers

Answer:

2x + 5y = 6

Step-by-step explanation:

The equation of a line parallel to 2x + 5y = 30 has exactly the same form as does 2x + 5y = 30, but the constant is different.  Starting with 2x + 5y = 30, replace the constant (30) with C, x with 3 and y with 0:

2(3) + 0 = C, so C = 6

Then the desired equation is 2x + 5y = 6

Can someone help please

Answers

Answer: 90

Step-by-step explanation:

1/2 x 20 x 9

90 because 20x9 which is length x height is 180 and you cut that in half because it’s a triangle and you get 90

ITS URGENTT!!! SOMEONE PLEASE HELP-

Answers

Answer:

ITS B

Step-by-step explanation:

he ended up in his original spot

mark me brainliest please?

parallelogram RCEP∼parallelogram DGSW Drag the answers into the boxes to match each part of parallelogram RCEP with the corresponding part of parallelogram DGSW .

Answers

Answer:

E--S

EP--SW

R--D

CE--GS

Step-by-step explanation:

you just match them, out of the 4 letters,  ce were in the middle of the two for parrallelogram RCEP, so we se the two middle letters DGSW, which is GS.

now apply this mechanism to all of the letters side by side.

hope this helps!

PLZ HELP!!! URGENT!!​

Answers

Answer:

52.329km/hours

Step-by-step explanation:

x = speed

100/x - 100/(x+5) = 1/6

==> x= (5sqrt(481)-5)/2 = 52.329km/hours

Use an operation or a property to justify each step and indicate if the expressions are correct
-3.2(4.1x - 6) + 1.5(3x - 4) = -8.62x + 13.2

Answers

Answer:

B is your answer -Gradpoint

T/F Given that a transversal intersects 2 parallel lines corresponding angles are always congruent.

Answers

Answer:

oof

Step-by-step explanation:

blah blaj

What is the point slope equation of line that passes through the point (5, 2) and has the same y intercept as y = 3x - 9

Answers

Answer:

Here is me answer

Step-by-step explanation:

PLEASE HELP IM STUCK ON THIS AND IT IS DUE TOMORROW MORNING! I HAVE SO MUCH MORE HOMEWORK OTHER THAN THIS

Xavier is running a fundraiser for the Make-A-Wish Foundation. He is selling each cup of hot chocolate for $2.50 and each doughnut costs $3.75. He wants to sell at most 35 cups of hot chocolate. His end goal is more than $220. Write a system of linear inequalities to model the scenario and identify two possible solutions.

Answers

Answer:

h = # cups hot chocolate

d = # doughnuts

2.50h + 3.75d > 220

h ≤ 35

possible solution:  37 doughnuts, 34 cups hot chocolate

possible solution:  30 doughnuts, 50 cups hot chocolate

Step-by-step explanation:

Calculate the distance traveled when moving at a rate
of 60mph for 3.5hrs.

Sentence Answer

Answers

Answer:

The distance traveled when moving at a rate of 60mph for 3.5 hours is 210 miles.

Hope this helped!

pleaseee help ill marl brainliest!

Answers

Answer:

c

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The function c(x) = 72 ⋅ (1.04)x models the cost in dollars, c, of 1 ounce of a certain chemical used in a laboratory. x represents the number of years since 2010.

How much does an ounce of the chemical cost in 2018?

$

Answers

An ounce of the chemical cost in 2018 is $98.54.

What is an exponential function?

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

The function c(x) = 72 ⋅ (1.04)ˣ models the cost in dollars, c, of 1 ounce of a certain chemical used in a laboratory.

x represents the number of years since 2010.

An ounce of the chemical cost in 2018 is,

= 72 × (1.04)⁸

= $98.54

Therefore, the cost is $98.54.

To learn more about the exponential;

https://brainly.com/question/14344314

#SPJ2

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