The constraints of a problem are listed below. What are the vertices of the feasible region? $4x+3y\lt 12$, $2x+6y\lt15$, $x\gt 0$, $y\gt 0$.

Which equation can pair with $x-y=-2$ to create a consistent and dependent system?

A. $6x + 2y = 15$

B. $-3x + 3y = 6$

C. $-8x - 3y = 2$

D. $4x - 4y = 6$

Graph the system of linear inequalities. x + y ≥ 3, 4x + y < 4

Graph the equation or inequality. 2x - 5y ≥ -15

How many solutions are there to the system of equations,

4x - 5y = 5

-0.08x + 0.10y = 0.10

a. no solutions

b. one solution

c. two solutions

d. an infinite number of solutions

In the simple interest formula I = Prt, what does P represent?

What is the domain and range of $f(x) = |x + 6|$?

The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. The linear equation models the income, in dollars, from selling $x$ plastic combs; the quadratic equation models the cost, in dollars, to produce $x$ plastic combs. According to the model, for what price must the combs be sold?

$$\begin{align*} y&=\frac{x}{2}\\ y&=-0.03(x-95)^2+550. \end{align*}$$

$a.$ $\$0.03$ each;

$b.$ $\$0.50$ each;

$c.$ $\$0.95$ each;

$d.$ $\$2.00$ each.

Which inequality has the following graphed solution? A. $2x -5 \gt 1$ B. $- x +3 \lt 6$ C. $3x -12 \lt -3$ D. $-5x -2 \gt -13$

Determine whether the following statements are true and give an explanation or counterexample.

Suppose w=xy/z, for $x \gt 0$, $y\gt 0$, and $z \gt 0$. A decrease in z with x and y fixed results in an increase in w.

What is the inverse of the function $f(x) = 4x + 8?$

Graph the solutions of each linear inequality. -y≥x+1

The constraints of a problem are graphed below. What are vertices of the feasible region?

Graph each inequality. y < 3x + 1