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2 years ago

1) Has zeros at -2 and 4, both being double roots 2) As x→∞, y→−∞

1 answer:

3 0

-(x+2)^2(x-4)^2

Not that if x= -2 and x=4 they will look like this in an equation: (x+2) and (x-4)
When (x+2) and (x-4) are set equal to zero and you solve for x, x will equal x= -2 and x=4

If they have double roots, they have a multiplicity of 2 (per root) meaning they will bounce off of the x-axis. Multiplicity can be found by using exponents.

The negative in front flips the function over the x-axis and holds true to the given limit.

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Area and perimeter of geometric functions

SCORPION-xisa [38]

Answer:

C. 60

Step-by-step explanation:

From triangle ADB,

$|AD|^2+|BD|^2=|AB|^2$

$|AD|^2+16^2=20^2$

$|AD|^2=20^2-16^2$

$|AD|^2=400-256$

$|AD|^2=144$

$|AD|=\sqrt{144}$

$|AD|=12$

From triangle ADC,

$|CD|^2+12^2=15^2$

$|CD|^2+144=225$

$|CD|^2=225-144$

$|CD|^2=81$

$|CD|=9$

The perimeter is the distance around the figure.

The perimeter

$=15+20+16+9$

$=60$

8 0

3 years ago

Read 2 more answers

The radius of a circle is 15 m. Find its circumference in terms of π

Marysya12 [62]

C = 2 x pi x r

C = 2 x pi x 15 = 30 π

5 0

2 years ago

Read 2 more answers

Atmospheric pressure decreases by about 11.8% for every 1000 meters you climb. The pressure at sea level is 1013 millibars (a un

erica [24]

At sea level, the pressure is 1013, that's when the altitude is at 0, sea level, let's see

$\bf \textit{Periodic Exponential Decay}\\\\
A=I(1 - r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &1013\\
I=\textit{initial amount}\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &0\\
p=period\to &1000
\end{cases}
\\\\\\
1013=I(1-0.118)^{\frac{0}{1000}}\implies 1013=I\cdot 1\implies 1013=I$

so, the inital amount is 1013, when t = 0,

$\bf \textit{Periodic Exponential Decay}\\\\
A=I(1- r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &1013\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &t\\
p=period\to &1000
\end{cases}
\\\\\\
A=1013(1-0.118)^{\frac{t}{1000}}\implies A=1013(0.882)^{\frac{t}{1000}}$

now, to check the atmospheric pressure at 4000, simply set t = 4000, to get A.

7 0

3 years ago

What are the two decisions that you can make from performing a hypothesis test? What are the two decisions that you can make fr

fredd [130]

Answer:

i dont know XD

Step-by-step explanation:

4 0

3 years ago

Laura is graphing an absolute-value function in the form

Ilya [14]

Answer:

The equation of the function is;

y = |x-3| -3

Step-by-step explanation:

Here, we want to give the absolute-value function

For the minimum value to be -3, it means that k is negative

since the domain is the set of all real numbers, then we do not have any undefined value for the range y

So, the equation is ;

y = |x-3| - 3

7 0

2 years ago