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
Allushta [10]
3 years ago
5

Please help thank you

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

the tale-tell fellow is the number inside the parentheses.

if that number, the so-called "growth or decay factor", is less than 1, then is Decay, if it's more than 1, is Growth.

\bf f(x)=0.001(1.77)^x\qquad \leftarrow \qquad \textit{1.77 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=2(1.5)^{\frac{x}{2}}\qquad \leftarrow \qquad \textit{1.5 is greater than 1, Growth} \\\\[-0.35em] ~\dotfill\\\\ f(x)=5(0.5)^{-x}\implies f(x)=5\left( \cfrac{05}{10} \right)^{-x}\implies f(x)=5\left( \cfrac{1}{2} \right)^{-x} \\\\\\ f(x)=5\left( \cfrac{2}{1} \right)^{x}\implies f(x)=5(2)^x\qquad \leftarrow \qquad \textit{Growth} \\\\[-0.35em] ~\dotfill

\bf f(t)=5e^{-t}\implies f(t)=5\left( \cfrac{e}{1} \right)^{-t}\implies f(t)=5\left( \cfrac{1}{e} \right)^t \\\\\\ \cfrac{1}{e}\qquad \leftarrow \qquad \textit{that's a fraction less than 1, Decay}

now, let's take a peek at the second set.

\bf f(x)=3(1.7)^{x-2}\qquad \leftarrow \qquad \begin{array}{llll} \textit{the x-2 is simply a horizontal shift}\\\\ \textit{1.7 is more than 1, Growth} \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3(1.7)^{-2x}\implies f(x)=3\left(\cfrac{17}{10}\right)^{-2x}\implies f(x)=3\left(\cfrac{10}{17}\right)^{2x} \\\\\\ \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill

\bf f(x)=3^5\left( \cfrac{1}{3} \right)^x\qquad \leftarrow \qquad \textit{that fraction is less than 1, Decay} \\\\[-0.35em] ~\dotfill\\\\ f(x)=3^5(2)^{-x}\implies f(x)=3^5\left( \cfrac{2}{1} \right)^{-x}\implies f(x)=3^5\left( \cfrac{1}{2} \right)^x \\\\\\ \textit{that fraction in the parentheses is less than 1, Decay}

You might be interested in
Whats the value of x
Vlad [161]

Answer:

write  quizzes rock cheat  and press the first result you get then write the code for the game and it will show all the answers for all the question  

8 0
3 years ago
Read 2 more answers
Rachel surveyed her friends on the number of siblings each one had. Her results are shown in the table below.
Lynna [10]
It is A. a bar of graph
4 0
3 years ago
Read 2 more answers
Given: △ACD, m∠BCA = 60° CB ⊥ AD , m∠BDC = 45° AC = 10 cm. Find: BC and DC
neonofarm [45]

Answer:

See if this will help,

https://www.pmschools.org/site/handlers/filedownload.ashx?moduleinstanceid=701&dataid=3612&FileName=2015%20triangle%20proofs%20answers.pdf



8 0
3 years ago
A salesperson is paid $60 per week plus $4.50 per sale. THIS WEEK, the salesperson wants to earn more than $240. How many sales
inn [45]

Answer:

42 sales plz mark as brainliest

Step-by-step explanation:

60 + 4.5(x) =250

60 + 4.5x =250

4.5x = 250-60

4.5x = 190

x = 190/4.5

x= 42 sales

6 0
3 years ago
the graph shows the number of people in an amusement park at different times where our 0 represents 9 a.m. if this trend continu
NNADVOKAT [17]

Answer:

can we see the graph?

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Carlos is making some observations from the roof of a building. Which angle is the angle of depression from carlos to the car?
    6·2 answers
  • A researcher measured the heights of forty high-school students. The measurements are recorded here.
    9·2 answers
  • Corey average score after each test is 91% if he gets 78% on his next test what will his new average be
    15·1 answer
  • Es
    14·1 answer
  • What is the equation of a line that contains point (4, –3) and is PARALLEL to –4x + y = 7?
    9·1 answer
  • Simplify by dividing negative three over eight ÷ five over nine
    10·1 answer
  • Tom earns $14.85 per hour for 40 hours and time and a half for overtime for hours worked over 35. If Jordan worked 43 hours last
    11·1 answer
  • Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7
    13·1 answer
  • List all the possible results that are divisible by 3.​
    7·1 answer
  • A line passes through (2, −1) and (4, 5). Which answer is the equation of the line?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!