1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pantera1 [17]
3 years ago
13

h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 ​ x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b

y, 8, end fraction, x, cubed, minus, x, squared What is the average rate of change of hhh over the interval -2\leq x\leq 2−2≤x≤2minus, 2, is less than or equal to, x, is less than or equal to, 2?
Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given the function h(x)=\dfrac{1}{8}x^3-x^2

The average rate of change of the function h(x) over the interval a\le x\le b can be calculated using formula

\dfrac{h(b)-h(a)}{b-a}

In your case,

a=-2,\\ \\b=2,

so the average rate of change is

\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}

You might be interested in
Someone please help ASAP will give brainliest
Nezavi [6.7K]
Rational:
\frac{11}{3}
6.25
0.01045
Irrational:
\sqrt{48}
\sqrt{ \frac{16}{81} }
\sqrt{ \frac{3}{16} }
0.42 \: going \: on \: forever
5 0
3 years ago
Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet. Each camera can view an area of
mariarad [96]

She would need 18 cameras

8 0
2 years ago
Read 2 more answers
What is -2(8x + 7) + 1 simplified
Nina [5.8K]
The answer is -16x-14+1
3 0
3 years ago
Please help for D, E and F
Phantasy [73]
D) 24/65 because it represents the number of players with 1-5 years of experience out of the overall total interviewed.

E) 3/11 because out of the eleven rookies, only three of them were under 200 lbs.

F) out of the 8 that reported to be under 200 pounds, only 3 were rookies, so the probability is 3/8
6 0
3 years ago
6 is added to the product of 7 and a number
notka56 [123]

The value of the expression will be equal to 55.

<h3>What is an expression?</h3>

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 6 is added to the product of 7 and a number 7. The expression will be written as,

E = 7 x 7 + 6

E = 49 + 6

E = 55

Therefore, the value of the expression will be equal to 55.

To know more about an expression follow

brainly.com/question/11847301

#SPJ2

5 0
1 year ago
Read 2 more answers
Other questions:
  • 14-11×17+14 what is the answer​
    5·2 answers
  • Tom read a novel for 1 1/4 hours and comic books for 1 2/5 hours. <br><br> How long did Tom read?
    9·1 answer
  • What's the simplified form of x - 1 + 4 + 7x - 3 ?
    11·2 answers
  • In complete sentences explain why you can sometimes add square roots with different radicands. Give an example where you can add
    7·1 answer
  • Sara rode her bike at 9 mph, how many feet did she travel in 23 seconds?
    8·1 answer
  • 6x + 8 - 13x + 10 = 4 - 6x - 11 + 4x
    6·1 answer
  • The Sun is approximately 9.29×107 miles from Earth. The moon is approximately 2.389×105 miles from Earth. How much farther is th
    6·1 answer
  • Find the perimeter of the figure.
    7·1 answer
  • Substitute the expression for y into x-2y=1 and solve the equation for x. <br><br>X=​
    14·2 answers
  • Please help. :))))))
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!