$$3x+2y=4$$

$$2x-3y=-6$$

A fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday the demand for hamburgers is normally distributed with mean 313 and standard deviation 57; the demand for chicken sandwiches is normally distributed with mean 93 and standard deviation 22.

If the restaurant stocks 400 hamburgers and 150 chicken sandwiches for a given day, what is the probability that it will run out of hamburgers or chicken sandwiches (or both) that day? Assume that the demand for hamburgers and the demand for chicken sandwiches are probabilistically independent.

Why is science considered to be a combination of information and process?

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand. Directrix the line $y=-\frac{1}{2}$ vertex at (0, 0).

Is a glide reflection an isometry? Explain.

Find all the real zeros of the polynomial. Use the Quadratic Formula if necessary. $P(x)=3 x^{4}-5 x^{3}-16 x^{2}+7 x+15$

The function f is one-to-one. Find its inverse and check your answer. Graph f, $f ^{-1}$, and y = x on the same coordinate axes. $f(x)=-4 x$

A university's financial aid office wants to know how much it can expect students to earn from summer employment. This information will be used in setting the level of financial aid. The population contains 3478 students who have completed at least one year of study but have not yet graduated. The university will send a questionnaire to an SRS of 100 of these students, drawn from an alphabetized list.

Find the period, and graph the function. $y=\sec 2\left(x-\frac{\pi}{4}\right)$

Analyze each polynomial function by following Steps 1. $f(x)=(x-1)(x+3)^{2}$

An equation of a hyperbola is given. Sketch a graph of the hyperbola. $\frac{x^{2}}{4}-\frac{y^{2}}{16}=1$

The relative value of currencies fluctuates every day. When this problem was written, one Canadian dollar was worth 0.9766 U.S. dollars. Find $f^{-1}.$ What does $f^{-1}$ represent?

Find an equation for the parabola that has its vertex at the origin and satisfies the given condition(s). Focus: F(0,6)

Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system.

$$\left\{\begin{array}{l}{2 x+y-3 z=5} \\ {2 x+3 y+z=13} \\ {6 x-5 y-z=7}\end{array}\right.$$

Eliminate the x-term from the third equation.