Given the function h(x) = —~2 – 6x + 17, determine the average rate of change
of the function over the interval – 6 < x < -2.

Answers

Answer 1

Answer:

Average Rate of change of given function [tex]h(x)=-x^2-6x+17[/tex] is 2

Step-by-step explanation:

We are given function: [tex]h(x)=-x^2-6x+17[/tex] (considering x is missed)

We need to find average rate of change  of the function over the interval [tex]- 6 < x < -2[/tex].

[tex]x_{1} = -6\\x_2 =-2[/tex]

Formula used to find average rate of change is: [tex]Average \ Rate \ of \ Change =\frac{h(x_2)-h(x_1)}{x_2-x1}[/tex]

Finding f(x₁) and f(x₂)

[tex]We \ have \ x_1=-6\\h(x_1)= -x^2-6x+17\\h(x_1)=-(-6)^2-6(-6)+17\\h(x_1)=-36+36+17\\h(x_1)=17[/tex]

[tex]We \ have \ x_2=-2\\h(x_2)=-x^2-6x+17\\h(x_2)=-(-2)^2-6(-2)+17\\h(x_2)=-4+12+17\\h(x_2)=25[/tex]

Putting values in the formula of average rate of change

[tex]Average \ Rate \ of \ Change =\frac{h(x_2)-h(x_1)}{x_2-x1}\\h(x_2)=25, h(x_1)=17, x_1 =-6 \ and \ x_2=-2\\Average \ Rate \ of \ Change =\frac{25-17}{-2-(-6)}\\Average \ Rate \ of \ Change =\frac{8}{4}\\Average \ Rate \ of \ Change =2[/tex]

So, Average Rate of change of given function [tex]h(x)=-x^2-6x+17[/tex] is 2


Related Questions

Type the integer that makes the following addition sentence true:
-5+? = -8

Answers

The answer to this question is -3

Answer:

The answer of -5+?=8

Let ? be x

so, A.T.Q

-5+x=8

we take x Right hand side and -5 left hand side with 8

x=8+5

x=13

so, the answer is -5+13=8

Which angles form a linear pair?

Answers

Answer:

A common arm

A common vertex

Their interiors do not overlap

The sum of two angles is 180°.

Therefore, linear pair of angles are adjacent angles whose non-common arms are opposite rays.

Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

HURRY!! WILL MARK BRAINLIEST!!!

Find the slope of the line.

- 1/3
-3
4
1/4

Answers

Answer:

-3

Step-by-step explanation:

First, we find points on the line, (1,1) and (4,1). Then we can use the slope formula, (y2 - y1)/(x2-x1). Plugging those two points into the formula gives -3/1 which is equal to -3.

1. Which of the given mathematical sentences are quadratic equations?
Not Quadratic Equation
Quadratie Equation
2. How do you describe quadratic equation?
3. How would you describe those mathematical sentences which are not
quadratic equations?
4. How are they different from those mathematical sentences which are not
quadratic equations?​

Answers

Answer:

See below

Step-by-step explanation:

See attached for missing part of the question

1. Which of the given mathematical sentences are quadratic equations?

x^2 + 9x + 20 = 015 - 6h^2 = 104x^2 - 25 = 0m^2 = 6m - 7

The rest are quadratic inequalities

2. How do you describe quadratic equation?

They are polynomials of one variable, second degree and have equation sign

3. How would you describe those mathematical sentences which are not

quadratic equations?

Quadratic inequalities

4. How are they different from those mathematical sentences which are not

quadratic equations?​

Equations have 2 roots as solution; have equation sign (=)Inequalities have intervals as solution; have inequality sign (>, <, ≥, ≤)

help a girl out due at 11:59 ‍♀️

Answers

Answer:

your answer woulsd be 4/15 or how many times does 4  gois in ta 15

Step-by-step explanation:

A student can type
2
3
of a page in
1
5
hour. How many pages can the student type in an hour?

Answers

10/3 or 3 1/3 pages

Answer:

A student can type 3.33 pages in 1 hour.

Step-by-step explanation:

(Assuming you mean 2/3 of a page and 1/5 of an hour)

To solve this we need to multiply both sides by 5. This is because when you multiply 1/5 by 5 you get 1 hour and what you do to one side you must do to the other.

1/5 * 5 = 1

2/3 * 5 = 3.3333

Rounding to the nearest hundredth:

3.33

A student can type 3.33 pages in 1 hour.

an internet service provider chargers $18 per month plus an initial set up fee. One customer paid a total of $81 after 2 months. Write an equation modeling this situation on slope- intercept form.

Answers

Answer:

y = 18x + 45

Step-by-step explanation:

81 = 18x + b

81 = 18(2) + b

81 = 36 + b

b = 45 so 45$ is the initial set up fee

ANSWER THE QUESTION WITH EXPLAINATION

Answers

Step-by-step explanation:

SSS

PB = QC (Given) (S)

BC (common side) (S)

QB = PC (Since ABC is isosceles triangle and PB = QC) (S)

Topic: congruence and similarity

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

SAS criteria

Step-by-step explanation:

Given is isosceles triangle as AB = AC, it means angles B and C measure same

Triangles PBC and QCB have common side BC, equal sides PB = QC as PB = AB - AP and QC = AC - AQ

So two sides and the angle between are congruent:

BC ≅ BC, PB ≅ QC, ∠PBC ≅ ∠QCBSo ΔPBC≅ΔQCB as per SAS criteria

Suppose a radio station desires to estimate the proportion of the market
they hold with a maximum error of 1% and a confidence of 95%. How large
a sample would be required to estimate the % of listeners to within the
desired level of accuracy? Assume that the sample percentage is 11.7%
(taken from a previous study).
Show calculations.

Answers

About 3.4% large according to the coordinates

Seven students joined the Math Club.a 7 b –7 c 0 d 14

Answers

Answer:

what is the question?

Step-by-step explanation:

did you copy and paste stuff?

please explain

Answer:

If you said that seven students joined then I'm guessing it would be answer A.

Step-by-step explanation:

Answer A. Says (7) while B. Says, -7. Then C. Says 0 and then D. Says 14.

Find the distance between (0,5) and (8,9). Round your answer to the nearest tenth.
The distance is about
units.

Answers

Answer:

8.9 units

Step-by-step explanation:

sqrt[(x2-x1)^2+(y2-y1)^2]

sqrt[8^2+4^2]

sqrt(80)

8.9 units

Maggie sees that she needs 702 tickets to redeem a toy rabbit. If Maggie only has
216 tickets, how many more tickets will she need?

Answers

Answer:

486 more tickets

Step-by-step explanation:

Hope this helps and I hope you have a great day.

Mwah

Answer:

The answer is 486.

Step-by-step explanation:

You had to subtract to see how many more.

702-216= 486

what would be the price for a product that started at $27 and get marked up by 30%

Answers

Answer:

$35.10

Step-by-step explanation:

Write each number below in Scientific Notation.
1. 92, 000 = 9.2 x 104
2. 109,000 = 1.09 x 105
3. 4,673 = 4.673 x 103
4. 0.00087 = 8.7 x 10-4
5. 0.0235 = 2.35 x 10-2

Answers

Answer:

92,00=9.2*10^4

109,000=1.09*10^5

4,673=4.673*10^3

0.00087=8.7*10^-4

0.0235=2.35*10^-2

Step-by-step explanation:

Which statement is NOT true about the diagram below?

Answers

The last statement

AD and DC are equal as shown by the small lines through them
DB is perpendicular and at exactly half way of line AC
Angles CBD and ADB are 92° and 88°
92 + 88 = 180
So the false one must be the last one.

What is the sales tax on a $14,500 truck if the tax rate is 9%? (not the total cost)

Answers

Answer:

$1,305

Step-by-step explanation:

14500x0.09=1,305

How long is the radius in Circle A? ____ cm
PLEASE ANSWER ASAP

Answers

Answer:

7.5

Step by step explanation:

As the diameter is 15, you have to divide it by 2, which is 7.5.

Translate the algebraic expression 8(8+7J+8)

Answers

Answer:

The answer is 64+56j+64

What did people say specifically when you wore Into The Night by Bath & Body Works and it smelled like men's cologne on you?​

Answers

Answer:

what-

Step-by-step explanation:

???????? Doesn't make sense

Need Help ASAP I’m having trouble

Answers

Answer:

ok

Step-by-step explanation:

nerd nerd nerd nerd lolololollool

Pleaseeeeeeee helpppp-----------

Answers

Answer:

Step-by-step explanation:

(1). (8,4)

(2). (6,0)

(3). (3,5)

(4). (24,3)

(5). (12,17)

(6). (2,3)

(7). (4,1)

(8). (2,1)

p+q=1 and pq=-20. What are the values of p and q?​

Answers

Answer:

Step-by-step explanation:

5, -4

5-4=1

5(-4)=-20

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
O 8 cm and 9 cm

Answers

answer :
O 8cm and 9cm

-9=2(18)+9y how do you work it out

Answers

Answer:

y = -5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-9 = 2(18) + 9y

Step 2: Solve for y

Multiply:                                   -9 = 36 + 9ySubtract 36 on both sides:     -45 = 9yDivide both sides by 9:           -5 = yRewrite:                                     y = -5

Step 3: Check

Plug in y to verify it's a solution.

Substitute:                    -9 = 2(18) + 9(-5)Multiply:                        -9 = 36 - 45Subtract:                       -9 = -9

The Shortest women living is jyoli ange, born on December 16,1993. She measures 24 inches tall. how many feet tall is she

Answers

Answer:

2 feet

Step-by-step explanation:

one foot is 12 inches

Which formula can be used to find the sum of the interior angles of a polygon?
(n - 1)180º
(n - 2)180º
(n - 3)180º
(n - 4)180º

Answers

Answer:

[tex] \overline{ \underline{ \boxed{(n - 2)180º}}}[/tex]

Answer:

B. n-2 180

Step-by-step explanation:

I took the test

50 POINTS BRAINLIEST
MATH

Answers

Answer:

[tex]B=\frac{2A}{h}-b[/tex]

Step-by-step explanation:

To solve this B needs to be isolated. First we must multiply both sides of the equation by 2 to get rid of the fraction on the left side. Next, divide both sides by h to get rid of the h on the left side. Finally, subtract b form both sides to get B by itself.

your answer would be b=2a/h-B

(5^49/5^48)+4^0−(1)^79⋅(−3/−4^9)^0
what is the answer simplified
literally 20 points brainiest
THANK YOU SO MUCH MY WHOLE QUARTER OF THE YEAR DEPENDS ON THIS QUESTION

Answers

Answer:

I believe it is 3.75

Step-by-step explanation:

(5^49/5^48)+4^0−(1)^79⋅(−3/−4^9)^0

5+1−(1)^79⋅(−3/−4^9)^0

5+1−(1)^79

5⋅(−3/−4^9)^0

-3 divided by -4 to the power of 9 to the power of 0=0.75

5 times 0.75=3.75

Hope this is correct! xx

PLZZZ HELPPPP

find the coordinates of the vertices after a dilation with a scale of 2, centered at the origin.

Answers

Answer:

Step-by-step explanation:

A(- 3, - 5) -----> A' (- 3 × 2 , - 5 × 2) = (- 6, - 10)

B(- 1, 0) -----> B' (- 1 × 2, 0 × 2) = ( - 2, 0)

C(- 3, 5) -----> C' ( - 3 × 2, 5 × 2 ) = (- 6, 10)

D(- 4, 0) -----> D' ( - 4 × 2, 0) = ( - 8, 0)

Answer:

-6,10

-2,0

-6,-10

-8,0

Step-by-step explanation:

please help asap!!!!!

Answers

Answer:

HL

Step-by-step explanation:

the shared hypotenuse and congruent legs of the triangle means it is congruent by HL

you might think that SSA is also doable because there is a right angle in both triangles but it is not

a way to remember this is that "there are no donkeys in geometry" because SSA backwards is another word for donkey

I can’t see it is way too blurry ?
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