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
Kryger [21]
3 years ago
8

Find the average rate of change over the given interval: f(x) = 3^x, [1, 4]

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0
\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
f(x)= 3^x  \qquad 
\stackrel{[1,4]}{\begin{cases}
x_1=1\\
x_2=4
\end{cases}}\implies \cfrac{f(4)-f(1)}{4-1}\implies \cfrac{3^4~-~3^1}{3}
\\\\\\
\cfrac{81-3}{3}\implies \cfrac{78}{3}\implies 26
You might be interested in
HELP PLEASE FAST. 30 POINTS.
QveST [7]

Answer:

<em>The age of the oldest child id 7.</em>

Step-by-step explanation:

There are 5 children:

1st Child: 7 Years Old

2nd Child: 6 Years Old

3rd Child: 5 Years Old

4th Child: 4 Years Old

5th Child: 3 Years Old

<em>The ges of any two consecutive children difference is 2 years old: 1st Child and 3rd Child. </em>

Hope this helped! :-)

3 0
3 years ago
In a sequnece u5=-3.7 and u15 =-52.3, what is the 19th term
PilotLPTM [1.2K]

u19=-71.74

Step-by-step explanation:

u5=a+4d=-3.7....(1)

u15=a+14d=-52.3....(2)

-10d=48.6

d=-48.6/-10

d=-4.86

Substitute-4.86 into....(1)

u5=a+4(-4.86)=-3.7

a+(-19.44)=-4.7

a=-3.7-(-19.44)

a=15.74

19term=a+18d=?

=15.74+18(-4.86)

=15.74+(-87.48)

19th term =-71.74

6 0
2 years ago
. Hannah is selling slices of pie at the bake sale. The pie has 8 slices. She has sold 1/4 of the slices. What fraction with a d
trasher [3.6K]

Answer:

2/8 because each 1/4 0f the 8 slices is equal to 2/8 by multipliction or you can say 1/4 of 8

7 0
2 years ago
Read 2 more answers
A small tree was planted at a height of 6 feet. The tree has been planted for 16 months, and is now 49.2 feet tall. Which equati
Jet001 [13]

Answer:

YOU MUST HAVE ONC WONDERED WHAT IS CHICKEN PO0. WELL IM HERE TO TELL YOU. PLEASE STOP EATING IT. IT MUGHT BE BAD FOR YOU.

ALS OTHE ANSWEER IS A>6x+16=49>2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Most evenings after dinner Duarte spends 30 minutes playing chess with his dad.
olasank [31]
T= total played
e= # evenings played
m= # minutes played

Total equals number of evenings played multiplied by number of minutes plated per evening.

EQUATION:
t=e * m

EQUATION (if 30 minutes per evening):
t=30e

Example:
3 nights, 30 minutes played

t= 3 * 30
t=90 minutes total played

Hope this helps!  :)
7 0
3 years ago
Other questions:
  • Juan, who is single, is a self-employed carpenter as well as an employee of Frame It, Inc. His self-employment net income is $33
    7·1 answer
  • What is 2000 -163 please help
    9·2 answers
  • Here is an easy puzzle:
    10·1 answer
  • What is the measure of angle aec?
    14·2 answers
  • A local Siri collects 8% sales tax. if the total purchase was $216 then how much was collected for sales tax
    13·1 answer
  • Emily makes 75 pins to sell at the schools craft fair. she has two designs: a star and a bumblebee. she makes 2 pins for every 3
    13·1 answer
  • Select the TWO multiplication equations that could represent the following question: how many 3/8s are in 5/4
    6·2 answers
  • 11.7÷(0.7+0.6)×2<br> Please help
    11·1 answer
  • Are two line segments always similar
    9·2 answers
  • If m5 =x which angles also have a measure of x? Select all that apply
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!