Determine whether the statement is always, sometimes, or never true. Explain your reasoning. An integer is a whole number.

You are given a convex polygon. You are asked to draw a new polygon by increasing the sum of the interior angle measures by 540°. How many more sides does your new polygon have? Explain your reasoning.

Sketch each parabola using the given information. vertex (3,6), y-intercept 2

Find four solutions of the equation. Write the solutions as ordered pairs. y = 2x + 3

Translate the sentence into an equation. The sum of q and four times t is equal to 29.

Simplify. Write your answer as one power. (5^10)^6

There are sixteen ounces in one pound. Write an equation that can be used to find the number of ounces in any number of pounds.

A cross country coach records the number of miles his athletes on the junior varsity and varsity teams ran today and displays the data in the provided dot plots. Given the shape of each distribution, determine which measures of center and spread are appropriate for him to use to summarize the data from each team.

Let m∠1 = x°, m∠2 = y1°, and m∠3 = y2°. ∠2 is the complement of ∠1, and ∠3 is the supplement of ∠1. a. Write equations for y1 as a function of x and for y2 as a function of x. What is the domain of each function? Explain. b. Graph each function and describe its range.

Starting with $2,3,5,7 , \ldots ,$ construct the positive integers $1 + 2 \cdot 3$ , $1 + 2 \cdot 3 \cdot 5,1 + 2 \cdot 3 \cdot 5 \cdot 7 , \ldots .$ Do you always get a prime number this way?

Based on the graph, determine the domain and the range of the quadratic function. $f(x)=3 x^{2}-12 x+4$

Solve. 5x - 2 + 3x = 17 + 12x - 23

As a ray of light t meets a mirror, the light is reflected. The an gle at which the light strikes the mirror is the angle of incidence. The angle at which the light is reflected is the angle of reflection. The angle of incidence and the angle of reflection are congruent. In the diagram at the right, if m∠RMI = 106, find the angle of reflection

Find the slope of the line described by each equation. y+2=7x