State all x and y intercepts of the following graph:
3x3 + 5x2 - 12x + 3
(-3,0), (.3,0), (1.1,0)
(0,3)
Factor: x2-7x -30
(x-10) (x+3)
The point of the three intersecting lines is called the _____?
Centroid
How many radians does it take to make one whole trip around the unit circle?
2 Pi
Convert from exponential form to logarithmic form:
53 = 125
log5125 = 3
Using the given function, evaluate f(5)
5
Simplify the following rational expression:
1/y+8
If you continuously rotated this 2D figure around the y-axis, what 3D figure would be created?
Cylinder
What is the most important components of assigning subjects in an experimental study??
Randomization
Write the equation of a circle that has a center at (-8, 4) and a radius of 10.
(x+8)2 + (y+4)2 = 100
Describe the end behavior of the following graph :
As x --> - infinity, y --> _________
As x --> infinity, y --> ___________
infinity, infinity
Simplify:
(6x3+ 7x2 -16x + 18) divided by (2x+5)
3x2 - 4x + 2 + 8/2x+5
Find the value of x and y:
x = 46, y = 43
What is the amplitude of the following graph?
4
What is the correct term used to classify this quadrilateral??
Rhombus
Describe the intervals of increasing and decreasing for the following graph:
Dec: (- inf., -1.5], [2,4]
Inc: [-1.5, 2], [4, inf.)
Find the inverse:
y = 1/x - 3
y' = 1/(x+3)
Find the value of x:
x = 27
When running for class president, Jonathan's campaign team tells him it appears he currently has 47% of the votes. However, his team is not as good at math as he is, so it seems the equation used to represent the percentage of votes he has, x, is represented by |x-3|. In other words, his voters calculations could be off by 3% in either direction. Knowing this information, can we guarantee that Jonathan will win the election? Why or why not?
No. He could actually have anywhere from 44-50% of the votes, and he would need 51% of the votes to win the election.
Jamie has an empty fish tank in the shape of a rectangular prism. The empty fish tank weighs forty pounds and has a length of 2 ft, width of 1.5 feet, and a height of 1.5 feet. Jamie is planning on filling up the fish tank with water, which weighs 62.4 pounds per cubic foot. How much will the filled up fish tank weigh???
295.8 pounds
Name all of the local maximums & minimums for the function k(x) = x4 - 5x2 + 4
Relative max:(0,4)
Relative Mins: (-1.6, -2.3) (1.6, -2.3)
Simplify:
5x2-x/(x+4)(x+3)(x-1)
Find the area of the given sector:
*YOUR ANSWER MUST BE IN RADIANS!!!*
3Pi/2
What is the period of the graph -4sin(2x)
pi
What is the date of your final exam?
1st - Jan 13th
2nd- Jan 14th
3rd- Jan 15th
4th- Jan 16