The formula for finding the perimeter, P, of a rectangle with length, l, and width, w, is given:
P = 2l + 2w
Which formula shows how the length of a rectangle can be determined from the perimeter and the width?
A.) l = ------- - 2w C.) l = ----- + w
P - 2w P - 2
B.) l = --------- D.) l = ---------
A tennis ball was 2 feet off the ground when a tennis player hit it so that the ball traveled up in the air before coming back to the ground. The height of the tennis ball is described by the graph shown. Numbers along the x-axis represent the time, in seconds, after the ball was hit, and the numbers along the y-axis represent the height, in feet, of the ball at time x.
Use the graph to represent the average rate of change of the height of the ball for the first 0.25 second after being hit.
A.) 0.75 feet per second
B.) 3.0 feet per second
C.) 12 feet per second
D.) 20 feet per second
The ordered pairs (20, -29.5), (21, -31), and (22, -32.5) are points on the graph of a linear equation.
Which of the following graphs show all of the ordered pairs in the solution set of this linear equation?
Which factorization can be used to reveal the zeros of the function
f(n) = -12n² - 11n + 15?
A.) f(n) = -n(12n + 11) + 15
B.) f(n) = (-4n + 3)(3n + 5)
C.) f(n) = -(4n + 3)(3n + 5)
D.) f(n) = (4n + 3)(-3n + 5)
Which graph best describes the solution to this set of inequalities?
x + y ≤ 6
x + 2y ≤ 8
Which points are on the graph of the equation -3x + 6y + 5 = -7 ?
Select all that apply.
The graph of the function f(x) = -1 + 0.5x is shown on the coordinate plane.
For what value of x does f(x) = 0?
Which graph represents the equation 5y - 3x = -15?
Find the equation that is equivalent to the quadratic equation shown.
x² - 6x - 27 = 0
A.) x(x - 3) = 27
B.) (x - 6)² = 63
C.) (x - 3)² = 36
D.) (x - 3)² = 28
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