Quadratic Profit Gravity

Solve for x. Round to the nearest hundredth if necessary.

2x² = -x + 3

• x = -1 and x = 1.5

• x = 1.5 and x = -1

• x = 1 and x = 1.5

• x = -1.5 and x = 1

Tags

CCSS.HSA-REI.B.4B

The graph shows how price affects profit. If the company is currently operating at the point (20, 6000), what should the company do differently to reach the maximum profit (vertex)?

• Lower Price 

• Raise Price 

A flying disk is thrown into the air from a height of 25 feet at time t = 0. The function that models this situation is h(t) = –16t² + 75t + 25, where t is measured in seconds and h is the height in feet. What values of t best describe the time when the disk is flying in the air?

• 0 < t < 5

• 0 < t < 25

• all real numbers

• all positive integers

Which statement BEST describes how the graph of g(x) = –3x² compares to the graph of f(x) = x² ?

• The graph of g(x) is a vertical stretch of f(x) by a factor of 3.

• The graph of g(x) is a reflection of f(x) across the x-axis.

• The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis.

• The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

What is the zero, or solution of this graph?

• (0, 2500)

• y = 2500

• (2.5, 2531.25)

• x = 25

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Tags

CCSS.HSF-IF.C.7A

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to solve 2x² + 2x - 12?

• -2, 3

• 2, 3

• 2, -3

• -2, -3

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7

• a=1, b=5, c=7

• a=7, b=5, c=1