Kelly Nelson
2021-12-17
Answered

How to graph $y={3}^{-x}$

You can still ask an expert for help

levurdondishav4

Answered 2021-12-18
Author has **38** answers

Firstly, plug in values for x and y.

Plot the dots$(x,y)$ . Connect these dots.

The resulting graph should look like this (like a reverse$y={e}^{x}$ ): graph $\{y={3}^{-x}[-10,10,-5,5]\}$

Plot the dots

The resulting graph should look like this (like a reverse

Hector Roberts

Answered 2021-12-19
Author has **31** answers

Points are:

asked 2020-11-03

The exponential models describe the population of the indicated country, A, in millions, t years after 2010.Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?

India,

Iraq,

Japan,

Russia,

asked 2021-02-25

The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the population grows exponentially.

(a) Find a function that models the population t years after 1990.

(b) Find the time required for the population to double.

(c) Use the function from part (a) to predict the population of California in the year 2010. Look up California’s actual population in 2010, and compare.

(a) Find a function that models the population t years after 1990.

(b) Find the time required for the population to double.

(c) Use the function from part (a) to predict the population of California in the year 2010. Look up California’s actual population in 2010, and compare.

asked 2021-08-05

Exponentials of an Arithmetic Sequence, If ${a}_{1},{a}_{2},{a}_{3},\cdots$ is an arithmetic sequence with common difference d, show that the sequence ${10}^{{a}_{1}},{10}^{{a}_{2}},{10}^{{a}_{3}},\cdots$ is a geometric sequence, and find the common ratio.

asked 2021-06-02

Solve by factorization.

${x}^{2}+13x=30$

asked 2022-06-21

I cannot find a good explanation on how to represent a power series as a rational function. Thanks!

$2-\frac{2}{3}x+\frac{2}{9}{x}^{2}-\frac{2}{27}{x}^{3}+...$

$2-\frac{2}{3}x+\frac{2}{9}{x}^{2}-\frac{2}{27}{x}^{3}+...$

asked 2021-09-23

Find an equation for the plane that contains the two lines

${l}_{1}:x=t+2,y=3t-5,z=5t+1$

and

${l}_{2}:x=5-t,y=3t-10,z=9-2t$

and

asked 2022-06-14

How to simply this logarithmic equation?

I have

$f(L)={M}^{L-1}/(M+1{)}^{L}$

and

$L={\mathrm{log}}_{M}((K+B)/A)$

I am suppose to simply this to

$f=C(K+B{)}^{-b}$

with

$b={\displaystyle \frac{\mathrm{ln}(M+1)}{\mathrm{ln}(M)}}$

for the top I have simplified ${M}^{L-1}$ to $\frac{K+B}{AM}$, but I have no idea how to simplify the bottom part. Some help would be great

I have

$f(L)={M}^{L-1}/(M+1{)}^{L}$

and

$L={\mathrm{log}}_{M}((K+B)/A)$

I am suppose to simply this to

$f=C(K+B{)}^{-b}$

with

$b={\displaystyle \frac{\mathrm{ln}(M+1)}{\mathrm{ln}(M)}}$

for the top I have simplified ${M}^{L-1}$ to $\frac{K+B}{AM}$, but I have no idea how to simplify the bottom part. Some help would be great