Which expression is a perfect-square trinomial?

A $9 x^2+49$

B $64 x^2-100$

C $6 x^2+48 x-96$

D $49 x^2-28 x+4$

The table shows that the theoretical probability of landing on heads two times when flipping two coins is $\frac { 1 } { 4 }$ . Use an equation to show that the probability is correct.

A preschool has a budget of $1000 to buy new outside toys. They will receive 1 free toy when they place the order. The number of toys, y, that they can get is given by$y = $\frac { 1000 } { x }$ + 1,$where x is the price per toy.

a. What is the horizontal asymptote of this rational function?

b. What is the vertical asymptote?

c. If the price per toy is$5, how many toys will they receive?

The local bank offers a savings account with a 3% annual interest rate. Alfred wants to earn at least $60 in interest. How much should he deposit?

How much should he deposit?

Observe that the top edge of the pattern represents the length of a rectangle. The side edge of the pattern represents the width of a rectangle.

Using the sides without the $x^2$-tiles, how can the length and width of the rectangle be represented?

Lucy paints murals. She charges $10.00 per square foot. If she paints a mural that is$c^2+7 c+10$ft by$ $$ \frac{1}{c+5}$ ft, how much does Lucy charge for painting the mural? $$

When adding $\frac{5 n}{n^4 p^3}+\frac{6 p}{n^2 p^5}$, why multiply the first expression by $\frac{p^2}{p^2}$ and the second by $\frac{n^2}{n^2}$?

Is a binomial also a polynomial? Explain.

Solve the inequality 28 < 2(x + 3) < 42 and justify each step.

Explain how to solve the inequality 2x + 5 > -3(x - 15). Identify the solution.

What is the first step in solving the inequality 2(x + 5) > x + 12?

A Combine the variables.

B Use the Addition Property of Inequality.

C Apply the Distributive Property.

D Use the Multiplication Property of Inequality.

Two number cubes are rolled and their values are added. Find the probability that the sum is less than or equal to 7.

Two students find the probability of rolling two number cubes and getting a sum less than 6. Which student is correct? Explain the error.

A football is kicked into the air. In the expression $-5t^2 + 25t - 30,$ t represents the time when the ball is 30 feet in the air. Factor the expression completely.