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
Mkey [24]
3 years ago
13

Given the function f(x) = 20(1.25)^x . what is the average rate of change between f(2) and f(5)

Mathematics
2 answers:
cluponka [151]3 years ago
7 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}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 20(1.25)^x\implies f(x) = 20\left( \cfrac{5}{4} \right)^x\qquad \begin{cases} x_1=2\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(2)}{5-2}

\bf \cfrac{20\left( \frac{5}{4} \right)^5~~-~~20\left( \frac{5}{4} \right)^2}{3}\implies \cfrac{20\cdot \frac{3125}{1024}~~-~~20\cdot \frac{25}{16}}{3}\implies \cfrac{\frac{5\cdot 3125}{256}-\frac{5\cdot 25}{4}}{3} \\\\\\ \cfrac{\frac{15625}{256}-\frac{125}{4}}{3}\implies \cfrac{\frac{7625}{256}}{3}\implies \cfrac{7625}{256}\cdot \cfrac{1}{3}\implies \cfrac{7625}{768}\implies 9.92838541\overline{6}

Alex787 [66]3 years ago
3 0

The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)b−a.

We have that a=1254, b=6103100, f(x)=20(54)x.

Thus, f(b)−f(a)b−a=20(54)(6103100)−(20(54)(1254))6103100−(1254)=−58207660913467407226562517167001203595951472642–√5–√4+542101086242752217003726400434970855712890625197922048572373973475376871275743307366424750⋅53100.

Answer: the average rate of change is −58207660913467407226562517167001203595951472642–√5–√4+542101086242752217003726400434970855712890625197922048572373973475376871275743307366424750⋅53100≈550754.870532511

pls put as brainliest

You might be interested in
A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk with the same pace in 3.5 hours?
alisha [4.7K]

Distance = Speed × Time

Distance = (4.5 mi)/(0.75 h) × (3.5 h) = 21 mi

The walker will cover 21 miles in 3.5 hours at that pace.

6 0
3 years ago
Read 2 more answers
What is the volume of the prism?
wariber [46]
4 1/2 feet tall Ggghhhhbbbbbbnnnhbhhhbh

6 0
3 years ago
Read 2 more answers
Marco is working with the equation s=kw his teacher told him that’s a varies directly with w if Marco substitutes 300 for s and
aniked [119]

Answer:

 S = kpq 280 = k(5)(7) 280 = 35k 8 = k

5 0
3 years ago
Many people feel that the drying of pavement marking paint is much too slow. You spend several days looking for the fastest dryi
slavikrds [6]

Answer:

21

Step-by-step explanation:

Using<em> Simple Random Sampling</em>, we can estimate the sample size by the formula

\bf n=\frac{Z^2S^2}{e^2}

where  

n = sample size

Z = the z-score corresponding to the confidence level 99.5%

S = the assumed standard deviation = 3 seconds

e = margin of error = 2 seconds

<em>It is worth noticing that the higher the confidence level, the larger the sample should be. </em>

The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals

Z = 3.023

Replacing the values in our formula

\bf n=\frac{(3.023)^23^2}{2^2}=20.5616\approx 21

So the size of the sample should be at least 21.

7 0
3 years ago
Last year, Mollie collected 64 pieces of candy while trick or treating. This year her costume is so fabulous that people were ex
never [62]

Answer:

79.6875 % If you can round, please do.

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Whats bigger im so confused math is hard order from greatest to least 2/3 0.67 5/9 0.58 7/12.   Thanks
    12·2 answers
  • Can someone please answer my question please answer it correctly please show work please I need please help
    6·1 answer
  • Graph f(x)=−3/4x−4 .
    9·1 answer
  • Help please! 100 points! question is in photo
    11·2 answers
  • 923-6932-4909 pass:nL8tXw <br> Z.OOM
    9·2 answers
  • Ronald and Madelyn are both entering a cake in the Tri-County Bake-Off. Ronald's recipe calls for 2 cups of sugar and 5 cups of
    8·1 answer
  • Need help with this please dont cheat and put just b#l1$H!t
    11·1 answer
  • There are 320 sixth grade students at Median Middle School. The school is hosting a field trip and 45% of the students are going
    15·2 answers
  • Follow the rule to find the output for an input of -4. output = input x 17
    15·1 answer
  • ?? math-domain and range
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!