All categories

3 years ago

What is the formula for exponential growth and decay? Y=

1 answer:

5 0

Remember that the original exponential formula was y = abx. You will notice that in these new growth and decay functions, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r). The growth "rate" (r) is determined as b = 1 + r.

You might be interested in

Question 1 of 20

ludmilkaskok [199]

Answer:

A. The volume is the product of the area of the base, 5x(x + 3), and

the height, 2x - 1.

Step-by-step explanation:

Volume is defined as the product of the Length, Width, and Height,

V = L*W*H

The Length x Width is the Area of the Base

L*W = Area Base)

Therefore:

The (L*W) in the equation V = L*W*H can be replaced with [Area of the Base]

[Area of the Base]

[Area of the Base] = (5x)*(x+3) [(or 5x^2 + 15x)]

Volume = [Area of the Base]*H

Volume = [(5x)*(x+3)]*(2x-1)

The volume is the product of the area of the base, 5x(x + 3), and

the height, 2x - 1.

That looks a lot like the answer in A: "The volume is the product of the area of the base, 5x(x + 3), and the height, 2x - 1."

6 0

3 years ago

The graph of g(x) = -x^2 is shifted 3 units left and 1 unit up. If this new graph is f(x), then what is the value of f(-1.5)

kondor19780726 [428]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see.

to the left by 3 units, C = +3
up by 1 unit, D = 1

$\bf g(x)=-x^2\\\\\\ g(x)=-1(1x+\stackrel{C}{0})^2+\stackrel{D}{0}\implies g(x)=-1(1x+3)^2+1
\\\\\\
g(x)=-(x+3)^2+1\impliedby f(x)\qquad \qquad f(-1.5)=-[(-1.5)+3]^2+1$

and surely you know how much that is.

5 0

4 years ago

8y +9 > 41 please help im on a staar test.

hammer [34]

Answer:

y>4

Step-by-step explanation:

8y+9>41

subtract 9

8y>32

divide by 8

y>4

6 0

3 years ago

Read 2 more answers

What is the measure of angle 2?

Darya [45]

Answer:

Step-by-step explanation:

because that angle is a little less than half of 90 so 42 is the best answer

5 0

3 years ago

From her home, Adriana would have to walk due north to get to her friend Gavin's house and due east to get to her friend Zach's

Genrish500 [490]

Answer:

4 miles.

Step by step explanation

8 0

3 years ago