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
A blank is a fraction with a denominator of 1
Advocard [28]
A whole number is a fraction with a denominator of one
5 0
3 years ago
Need help with theses questions please
Olin [163]
Hello:
3x²+5x+2=0
delta = (5)²-4(3)(2)=1
x =( -5 <span>±1)/6
x= -2/3 or x=-1

t4-81=(t²)² -9² = (t²-9)(t²+9) =(t-3)(t+3)(t²+9)....(answer B)</span>
7 0
3 years ago
If f(x) = 2x - 4 and g(x)= -5x + 6, then what is g(g(x))?
ki77a [65]

I guess its

25x-24

hope it helps...

7 0
2 years ago
the length of a rectangle is twice its width. if the perimeter of the rectangle is 54m find its area​
mixer [17]

Answer:

You can denote the width of the rectangle as x,

than the length of the rectangle will be 2x

and the perimeter of the rectangle will be two length plus two width and it should be equal to 54 in

and the equation will look   2(2x)+2x=54

solving the equation 6x=54, x=9in

So the width of the  rectangle is 9in and the length is 9*2=18in

and the area of the rectangle is 9*18=162 sq in.

7 0
3 years ago
Find the midpoint M of a segment with the given endpoints.<br> A(-4, 6) and B(2,8)
yan [13]

Answer:

(-1, 7)

Step-by-step explanation:

We'll use the midpoint formula: ([x₁ + x₂]/2, [y₁ + y₂]/2)

x₁ = -4

x₂ = 2

y₁ = 6

y₂ = 8

Our equation will look like this

([-4 + 2]/2, [6 + 8]/2)

( -2/2, 14/2 )

(-1, 7)

4 0
2 years ago
Other questions:
  • Solve:<br> -3/4+p=1/2<br> Thank you so much!
    12·1 answer
  • If s waves travel at 5 km/s how long do they take to travel 100 km
    9·1 answer
  • Ayesha has a theory about 2 digit numbers that have a larger tens digit than ones digit she says that reversing the digits and s
    6·1 answer
  • Hayley's drink coaster has a radius of 4 centimeters. What is the coaster's area? Use 3.14 for ​.
    12·1 answer
  • Which is the correct form
    5·2 answers
  • NEED HELP please!! 30 points!!!
    8·1 answer
  • A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.
    14·2 answers
  • Can someone explain this to me please step by step
    11·1 answer
  • Evaluate |5|-|-5| <br> -25<br> 10<br> 25<br> 0
    15·2 answers
  • 4 to 7 is what<br> 2:5 is what<br> 3 to 15 is what <br> 1:3 is what
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!