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
ZanzabumX [31]
3 years ago
12

Given the function h(x) = 4^x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Mathematics
2 answers:
Gennadij [26K]3 years ago
4 0
Ooh, fun

the average rate of change is the slope

easy, so for section A, it would be the slope from (0,h(0)) to (1,h(1)) or from (0,1) to (1,4)
slope=(y2-y1)/(x2-x1)=(4-1)/(1-0)=3/1=3


section B, would be slope from (2,h(2)) to (3,h(3)) or from
(2,16) to (3,64)
slope=(y2-y1)/(x2-x1)=(64-16)/(3-2)=48/1=48


1. section A has an average rate of change of 3
section B has an average rate of change of 48



2. 48 is how many times greater than 3
48/3=16
16 times greater

it is because it is an exponential function and the slope grows bigger
Tems11 [23]3 years ago
3 0
Heyo Ace Baby!

First of all, a rate of change can be expressed as a slope. A <span>slope is the ratio of the vertical and horizontal changes between two points. Average rate is always equal for every point and the line is straight.

So, our function is h(x) = </span>4^x

we substitute the values and remember, x = 0 is the rise and x =1 is the run, our changes applies to x and h(x)

h(x) = 4^0 = 1 and 4^1 = 4

So, with the formula (y2-y1)/x2-x1) you can find the average rate (and let's say that you can find it also with (changes of h(x)) / (changes of x)). h(x) is considered as "y"

Section A = \frac{4-1}{1-0} =  \frac{3}{1} = 3

Let's work out the Section B...4^2 = 16 and 4^3 = 64

Section B = \frac{64-16}{3-2} =  \frac{48}{1} = 48

Let's find how bigge ris 48 than 3

48 : 3 = 16

16 times, because our function is exponential and slope is bigger in section B
You might be interested in
Write an equation in standard form for the line that had an undefined slope and passed through (-6, 4)
guajiro [1.7K]

x = -6 is the equation for this question.


5 0
3 years ago
Gravitational force acts on all object in proportion to their masses. Why then, a heavy object does not fall faster than a light
nordsb [41]
Because force= acceleration x mass Acceleration is constant for a body of any mass since force is exactly proportional to mass.
7 0
2 years ago
Read 2 more answers
On Monday, the theater club sells 14 tickets for the school play. On Tuesday, they sell 10 tickets. On those two days, they sell
Margarita [4]

Answer:

<h2>31 tickets</h2>

Step-by-step explanation:

Step one:

number of tickets sold

monday=14

tuesday=10

the number of tickets sold for Monday and Tuesday combined is

14+10= 24

step two:

we want to find how many tickets make 30%

so 30/100*24

0.3*24

=7.2 tickets,

Approximately 7 ticket

Therefore the total ticket is

14+10+7

=31 tickets

7 0
3 years ago
Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (
Feliz [49]

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: (x + 7)^2 + (y - 10)^2 = 13^2

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

<u>Option A (5,12)</u>

When x=5, y=12

(5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2

<u>Option B (-7,-3)</u>

When x=-7, y=-3

(-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2

<u>Option C (-6,-10)</u>

When x=-6, y=-10

(-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2

<u>Option D (6,23)</u>

When x=6, y=23

(6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

4 0
3 years ago
How can skip counting by 10s help you find the quotient of 10s facts
Lerok [7]

Answer:

Count By 5's

Step-by-step explanation:

5

10

15

20

25

30

6 0
3 years ago
Other questions:
  • Pls help I’m so annoying but I suck at math
    12·1 answer
  • Katelyn plans to apply for a $10,000 loan at an interest rate of 5.6% for 5 years. Use the monthly payment formula to complete t
    6·1 answer
  • The absolute value of a positive integer is a negative integer​
    10·1 answer
  • The length of a rectangular window is 5 feet more than its width, w. The area of the
    12·1 answer
  • 6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
    14·1 answer
  • This purse is roughly a trapezoid. The bottom base is 16 inches long. The top base is 10. It stands 13 inches tall. The latch is
    11·1 answer
  • Recovery
    10·1 answer
  • The picture below has got me stuck
    9·1 answer
  • Jerold reads at a rate of 3 pages in 2 minutes. He as a 2427 page novel to read and a 906 page mystery book to read. How long wi
    5·1 answer
  • Let R={0, 1, 2, 3) be the range of h(x) = x-7. The domain of h-'(x) is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!