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3 years ago

40 points and brainliest to first correct answer :) Question in image attached.

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

Step-by-step explanation:

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What is the correct factored for of x^2-9/x-3 to show a common factor can be divided out?

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should be x^2-9/x-3

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A plot of land is in the shape of a triangle. If one side is x meters, a second side (5x−3) meters, and a third side is ( 7x −

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Given, the plot is in the shape of triangle.

First side = x meter

Second side = ( 5x-3 )meters

Third side = ( 7x-6 ) meters

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Combine like terms by adding all the x terms together and all the constant terms together.

Perimeter = $(x+5x+7x) + ( -3 -6 )$

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4 years ago

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Step-by-step explanation:

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3 years ago

Which property is illustrated by the equation 3 (m n) = (3 m) n?

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3 years ago

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The projected rate of increase in enrollment at a new branch of the UT-system is estimated by E ′ (t) = 12000(t + 9)−3/2 where E

nexus9112 [7]

Answer:

The projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

Step-by-step explanation:

Consider the provided projected rate.

$E'(t) = 12000(t + 9)^{\frac{-3}{2}}$

Integrate the above function.

$E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt$

$E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c$

The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.

$2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c$

$2000=-\frac{24000}{3}+c$

$2000=-8000+c$

$c=10,000$

Therefore, $E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

Now we need to find $\lim_{t \to \infty} E(t)$

$\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000$

$\lim_{t \to \infty} E(t)=10,000$

Hence, the projected enrollment is $\lim_{t \to \infty} E(t)=10,000$

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3 years ago