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
3. Pete is making 8 identical fruit baskets as
Feliz [49]

9 apples per basket

Peter is making 8 identical fruit baskets. If the baskets are identical, that means they all have the same amount of fruit in them. If I know how many apples were used, then I can divide that by the total number of baskets (8) to find out how many apples were used per basket.

12 oranges were used per basket. There were 8 baskets. 12 x 8 = 96, so 96 oranges were used in total.

168 - 96 = 72

There were 72 apples used in total.

There were the same amount of apples in each of the 8 fruit baskets. 72/8 = 9, which means that there were 9 apples per fruit basket.

6 0
3 years ago
Joe can jog 6 miles in one hour.How much farther than Tera can he jog in 2 hours (Tera can jog 11 miles in 2 hours)
Sergio [31]

Answer:

1 mile

Step-by-step explanation:

Joe =  6 mph

6 x 2 hours = 12 miles in 2 hours

Tera = 11 miles in 2 hours

12 - 11 = 1 mile

3 0
4 years ago
Chelsea buys a shirt and shoes at the store with the coupon. The price of the shirt before the discount is $22, and her total di
Helen [10]

Answer: add 22 with $18.55  divide 50%

Step-by-step explanation:

4 0
3 years ago
What is 150 % of 32 ?
Mnenie [13.5K]

Answer:  48

=================================================

Explanation:

The keyword "of" means multiply

150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form

Putting those two facts together lead to...

150% of 32 = 1.5*32 = 48

----------------

Another approach:

x% = x/100

150% = 150/100 = 1.5

150% of 32 = 1.5*32 = 48

The last step is identical as before, but the conversion of 150% is slightly different this time.

------------------

Yet another approach:

100% of anything is itself

So 100% of 32 is 32

The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48

5 0
3 years ago
What’s -1/3(n+15)= -2
lozanna [386]

\text{Hello there!}\\\\\text{Solve for n:}\\\\-1/3(n+15)= -2\\\\\text{Distribute the 1/3 to the variables inside the parenthesis}\\\\-1/3n-5=-2\\\\\text{Add 5 to both sides}\\\\-1/3n=3\\\\\text{Multiply both sides by 3/-1}\\\\\boxed{n=-9}

3 0
3 years ago
Other questions:
  • If a line of one billion people stretched 327,495 miles long, the average shoulder width of the people in the line is A feet. Ro
    9·1 answer
  • The difference 25(d−10)−23(d+6)25(d−10)−23(d+6) is
    12·2 answers
  • Tom sold half of his comic books and then bought 6 more he now has 11 how many did he begin with
    10·1 answer
  • I need help with 36 please ❤️❤️
    12·1 answer
  • M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ? A. 5 units B. 9 units
    7·2 answers
  • :)will mark brainliest!!!
    7·1 answer
  • A drone costs $300 plus $25 for each set of extra propellers write a independent variable​
    7·1 answer
  • A certain country is divided into 5 provinces. Each province consists entirely of Progressives and Traditionalists. If each prov
    8·1 answer
  • Xzavier has a meal in a restaurant. He adds up the prices listed on the menu for everything they ordered and gets a subtotal of
    9·1 answer
  • (WILL MARK BRAINLIST)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!