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
A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quit?
topjm [15]
P=2*(5ft +7 ft)
P=2*12 ft
P=24 ft - is the answer
4 0
3 years ago
Does anyone know how to do this?? I don’t understand. I need help please ASAP! Tysm
bixtya [17]

17. 30

19. 58

21. 55

23. 23

3 0
3 years ago
Identify The degree of each monomial
vesna_86 [32]
If a polynomial has more than one variable, then thedegree<span> of that </span>monomial<span> is the sum of the exponents of those variables. In this polynomial, 24xyz, the</span>degree<span> is 3 because the sum of </span>degrees<span> of x, y and z is 1 + 1 + 1 = 3. hope this helps :)</span>
6 0
3 years ago
The sphere weighs 4 pounds. sorry no picture but you can ask me for it in the comments What is the weight of the cylinder? What
Zolol [24]

Answer:

The weight is 4 pounds :D

Step-by-step explanation:

3 0
3 years ago
What is the solution to this equation?
padilas [110]

Answer:

x=3

Step-by-step explanation:

10-3x+8x=25

-10            -10

-3x+8x=    15

5x=15

5x/5=15/5

x=3

6 0
3 years ago
Other questions:
  • Jason started with 12 1/2 pounds of concrete to set fence post. He used 4 1/6 pounds for the center post abd 3 1/3 pounds for th
    11·1 answer
  • Find the number value of the range when the domain is 4.
    12·1 answer
  • A stamp has the Length of 1/2 cm and a width of 1 1/2 is the area of the stamps
    6·1 answer
  • Yo can I have help????
    7·1 answer
  • EXIT TICKET
    10·1 answer
  • Pls help me will mark brainliest
    11·2 answers
  • Two numbers are respectively 40% and 60% more than a third number. The ratio of the two numbers is:
    7·1 answer
  • Hiii please help i’ll give brainliest if you give a correct answer please thanks!
    12·1 answer
  • Find the slope of the line segment that contains the two points (-18,-20) and (-18,-15)
    5·1 answer
  • The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!