Solve for x: 0=-4u-7x+4.

Lynbrook West , an apartment complex , has 100 two-bedroom units. The montly profit (in dollars) realized from renting out x apartments is given by the following function.
${\displaystyle P\left(x\right)=-12x^2+2136x-41000}$
To maximize the monthly rental profit , how many units should be rented out?
What is the maximum monthly profit realizable?

Use polar coordinates to find the limit. [Hint: Let ${\displaystyle x=r\cos \text{and}y=r\sin }$ , and note that (x, y) (0, 0) implies r 0.] ${\displaystyle \underset{(x,y)\to (0,0)}{lim}\frac{x^2-y^2}{\sqrt{x^2+y^2}}}$

Requires Uploaded Supporting Analysis: Differentiate. ${\displaystyle y={(3x^2+5x+1)}^{\frac{3}{2}}}$

Use the following linear regression equation to answer the questions.
${\displaystyle x_1=1.3+3.0x_2-8.3x_3+1.6x_4}$
(a) Which variable is the response variable?
(b) Which number is the constant term? List the coefficients with their corresponding explanatory variables.
(c) If ${\displaystyle x_2=8,x_3=2,\text{and}{x}_4=6}$ , what is the predicted value for $x_1$? (Use 1 decimal place)
(d) Explain how each coefficient can be thought of as a "slope" under certain conditions.

To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance. If the customs official selects 3 of the tablets at random for analysis, what is the probability that the traveler will be arrested for illegal possession of narcotics

Find all the complex roots. Leave your answers in polar form with the argument in degrees. The complex fourth roots of ${\displaystyle 100+100\sqrt{3}i}$

True or false? If the statement is false, use one or two sentences to justify your answer.
Assuming that other factors are constant, a correlation of r=-0.95 will result in less accurate predictions than a correlation of r=+0.70.
In regression analysis, at least an actual (observed) data point is located on the regression line.