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2021-08-16

Determine whether the function represents exponential growth or decay, Write the base in terms of the rate of growth or decay, identify R, and interpret the date of growth or decay. For the function $y=150x{3.2}^{x}$

Latisha Oneil

Skilled2021-08-17Added 100 answers

1) Exponential function $y=a.{b}^{x}$,

If $b>1$ , function is increasing and is an exponential growth function.

$b=3\cdot 2>1$, function $\to$ exponential growth.

Exponential growth function :

$A\left(t\right)=a{(1+r)}^{t}$, a - initial amount, $(1+r)$ - growth factor , r - rate of growth.

$b=1+r\to 3\cdot 2=1+2\cdot 2$

Base in terms of decay is:

$y=15\cdot {(1+2\cdot 2)}^{x}$

r - rate of growth:

$r=2\cdot 2$ (22 %)

$\Rightarrow $ function increases

by 22% as x increases by 1.

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) $f\left(x\right)=-3{x}^{2}+7$

c) $f(x)=\frac{x+1}{x+2}$

?

$d)f\left(x\right)={x}^{5}+1$In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?

a.$f(x)=3$

b.$g(x)=5-2x$

c.$h\left(x\right)=\frac{2}{x}+3$

d.$t(x)=5(x-2)$ Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a

A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\times {10}^{3}$,

$B=1.4\times {10}^{-1}$,

$C=2\times {10}^{3}$,

$D=1.4\times {10}^{-2}$Write the numerical value of $1.75\times {10}^{-3}$

Solve for y. 2y - 3 = 9

A)5;

B)4;

C)6;

D)3How to graph $y=\frac{1}{2}x-1$?

How to graph $y=2x+1$ using a table?

simplify $\sqrt{257}$

How to find the vertex of the parabola by completing the square ${x}^{2}-6x+8=y$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.