What is the location of the vertex for the parabola y = 2(x – 3)2+ 4 ?
(3, 4)
What are the factors of 2x2-3x-9?
(2x+3) and (x-3)
What is the length of the hypotenuse?
5000
What is the relationship between x and y?
2x=y
y is double x since it is the central angle and x is the inscribed angle
A psychologist studied whether students were able to memorize index cards while listening to music or studying in silence. Find the probability that a randomly selected student was able to memorize the index cards OR listened to music.
96/120 or 80%
Determine the x-intercepts of the graph of y=2x2-5x-12.
(4, 0) and (-3/2, 0)
Solve using the quadratic formula: 5x2+ 3x – 1 = 0
\frac(-3\pm \sqrt29)(10)
Solve for x.
10\sqrt 3 \text( m)
State the center and radius of the circle: (x – 1)2+ (y + 2)2= 25.
Center: (1, -2)
Radius: 5
What is the volume of the triangular prism?
9 ft3
Match the equation of the parabola y = x2+ 10x+24 to one of the graphs below.
D.
Determine the point(s) of intersection, if any exist, for the system below.
y = x2– 4x + 5
y = x + 1
(4, 5) and (1, 2)
If the exterior angle of a regular polygon measures 15°, how many sides does the polygon have?
24
If the m∠AOB = 120° for the circle below, find the arc length of the shaded sector.
(10\pi)/3 \text ( cm
At University of the Great Plains the following data about engineering majors was collected. What is the conditional probability of living on campus, given that you know a student is an engineering major?
120/920 or 13%
Write an equation for the quadratic function from the table below.
y=2(x-2)(x+3)
Solve the inequality x2+ x - 12 < 0 .
-4<x<3
How many sides does a regular polygon have if the sum of the interior angles is equal to 1440?
10
What is the value of x?
10/3 \text( or ) 3.\overline(3)
The cylinder has a height of 12 in and a radius of 6 in. Find the surface area.
216\pi
What is the graphing form of the function y=3x2– 12x-36?
y=3(x-2)2-48
Solve for x:
x2+6x+5=3
-3 \pm \sqrt 7
A regular hexagon has a side length of 8 cm. Find its area.
96\sqrt3 \text( cm)^2
The sector has a central angle of 60 degrees and an area of 24 PI cm2. What is the radius of the circle?
12 cm
At Sarah’s school, 25% of the student body are sophomores and 40% of the students walk to school. Assume that these two events are independent. If a student from Sarah’s school is selected at random, determine the probability that the student is a sophomore and does not walk to school.
15%