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3 years ago

How can you solve an equation or inequality in one variable?

1 answer:

4 0

In order to solve an equation for a variable, we need to isolate that variable on one side of the equation (either left side or right side).

Following are some steps to solve equation/inequality in one variable:

1) Get rid constant number from on side by applying reverse operation of addition or subtraction.

2) Get rid variable terms from other side by applying reverse operation of addition or subtraction.

3) Combine like terms on both sides.

4) Get rid any coefficent ( a number in front of a variable) by dividing from both sides.

5) Finally you get a variable on one side and solution on other side.

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

8 0

3 years ago

Answer the ones you know

vladimir2022 [97]

For question 2 it is 15

Because: 4 time 6 is 24 and then you minus 9 which is 15

So there you have it the answer is 15

8 0

3 years ago

Read 2 more answers

Is greater than, less than or equal to 125°?

muminat

Answer:

the answer is C.

Step-by-step explanation:

equals to 125

4 0

3 years ago

Read 2 more answers

A set of data points has a line of best fit of y = –0.2x + 1.9. What is the residual for the point (5, 1)?

alisha [4.7K]

<span>A. 0.1
The residual is the difference between the observed value and the predicted value for a data point. You obtain it by subtracting the predicted value from the observed value. So the predicted value is: y = -0.2x + 1.9 y = -0.2*5 + 1.9 y = -1 + 1.9 y = 0.9 Therefore the residual is: r = 1 - 0.9 r = 0.1 And the value of 0.1 matches option "A".</span>

3 0

3 years ago

defects method, which of these relationships represents the Law of Cosines if the measure of the included angle between the side

Nikolay [14]

<span>Area of square c2 = -area of square a2 - area of square b2 + area of defect1 * area of defect2</span>

6 0

3 years ago