In following problem, solve given equation for q.

$$q^2 + 7731q = 0$$

In the following problem, determine whether the given system of equations has no solutions, one solution, or many solutions.

$$\left\{\begin{array}{l}y=3 x-5 \\ y=25 x-4\end{array}\right.$$

The sum of Bill's age and his father's age is 64. In 5 years, Bill's father's age will be 10 less than 3 times Bill's age then. How old is each person now?

In following problem, solve the given system of equations for (x, y).

$$\left\{\begin{array}{l}y=x^2 \\ x^2+y^2=6\end{array}\right.$$

In following problem, graph the given equation.

xy = 9

Consider the plane represented by 2x + 3y + z = 12.

a Find the plane's x-intercept.

b Find the plane's y-intercept.

c Find the plane's z-intercept.

d Use your answers to parts a, b, and c to graph the plane.

In the following problem, determine whether the given system of equations has no solutions, one solution, or many solutions.

$$\left\{\begin{array}{l}3 x+y=4 \\ 9 x+3 y=12\end{array}\right.$$

If it takes five workers six hours to paint an office, how long will it take eight workers to paint the office, assuming all the workers work at the same rate?

Points A and B are plotted on cartesian system such that, A is at (2, y) and B is at (3, 4). Find the value of y for which $d_1 = d_2$, where $d_1, d_2$ are distance of A and B from origin.

In the following problem, determine whether the given system of equations has no solutions, one solution, or many solutions.

$$\left\{\begin{array}{l}y=2 x+1 \\ y=2 x+2\end{array}\right.$$

In following problem, graph the given equation.

xy = 3

In following problem, solve the given system of equations for (x, y).

$$\left\{\begin{array}{l}x^2+8 y=33 \\ y=x-9\end{array}\right.$$

In the following problem, solve the given system by graphing.

$$\left\{\begin{array}{l}1>y>-3 \\ -2<x<4\end{array}\right.$$

Consider the parabolic function f(x) = 2(x - h)$^2$ + k, with f(1) = 76, f(9) = 12, and h > 0.

a Find the values of h and k.

b Draw the graph of f(x).