Find all zeros of the polynomial function.
f(x) = x^3 - 5x^2 -4x + 60
What is -3, 4+2i, 4-2i
100
The number of bacteria present in a culture after t minutes is given as B = 1000e^(kt). If there are 2517 bacteria present after 14 minutes, find k.
What is 0.066
100
Write an equation in standard form for the ellipse with foci (4, 0) and (-4, 0) and y-intercepts of 3 and -3.
What is x^2/25 + y^2/9 = 1
100
Which of the following populations is not normally distributed?
a. students' grades
b. scores on this test
c. polar bears in the United States
d. SAT scores
What is c. polar bears in the United States?
200
Divide (u^3 + 125) / (u + 5)
What is u^2 - 5u + 25
200
Write a polynomial function that has the zeros 1, 3, and 2 and has a leading coefficient of 1.
What is x^3 - 6x^2 + 11x - 6
200
Find the focus of the parabola: y^2 = 24x.
What is (6, 0)?
200
Describe the graph of the equation:
(x + 3)^2/25 - (y + 4)^2/16 = 1
What is a hyperbola with center (-3, -4), a=5, b = 4 & c=sqrt 41
200
Which of the following is true of sampling and census?
a. Sampling attempts to count the entire population.
b. Census attempts to count the entire population.
c. Census relies on estimation.
d. Sampling and census rely on the same methods.
What is b. Census attempts to count the entire population.
300
(3x^3 - 2x - 8) / (x + 3)
What is 3x^2 - 9x + 25 - 83/(x+3)
300
Solve 1/9 = 27^(9x-4)
What is 10/27
300
Describe the graph of y = 2/3x^2
What is a parabola with the vertex at the origin, points upward, u-shaped, focus = (0, 1/6), directrix y= -1/6
300
Write the equation of the parabola in standard form. x^2 - 6x + 8y + 49 = 0.
What is (x - 3)^2 = 4(-2)(y + 5)
300
Which of the following would not be considered a random sample?
a. asking every 5th person you pass at the mall what his or her favorite movie is
b. keeping track of the color of every 9th car that passes your house
c. asking your friends what their favorite subject is
d. tracking the amount of rainfall every 20th day.
What is c. asking your friends what their favorite subject is?
400
(2x^2 + 4x^3 -4 -10x) / (2x + 3)
What is 2x^2 - 2x - 2 + 2/(2x+3)
400
Solve
1/125 = 25^(3x + 8)
What is -19/6
400
Describe the graph of the following:
9x^2 + 25y^2 = 225
What is an ellipse with center at the origin, where a=5 & b = 3 & c= 4
400
Describe the graph of the following shape.
y + 4 = (x-5)^2
What is a parabola facing upward with a vertex of (5, -4)
400
Your school newspaper is conducting a survey about music. Which survey question is least likely to lead to biased results?
a. Do you listen to boring classical music?
b. What is your favorite type of music?
c. Do you agree that fun dance music should be played at school dances instead of loud rock music?
d. Do you, like most people your age, watch music videos?
What is b. What is your favorite type of music?
500
List the possible rational zeros of the function using the rational zeros theorem.
g(x) = x^5 - 4x^3 + 2x + 12
What is 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12
500
If there are initially 1000 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours can be found using the formula N = 1000(2^t). How long will it take teh culture to grow to 30,000 bacteria?
What is 4.91 hr?
500
Describe the shape x^2/25 - y^2/4 = 1
What is a hyperbola where the center is at the origin, a =5, b = 2 & c = sqrt 29
500
Solve e^(-0.07t) = 8. Round your answer to the nearest ten thousandth.
What is -29.7063
500
The ordered pairs show the number of hours a student studied each of the first six weeks of school. If the student studies 10 hours for each of the next three weeks, how will the mode of the data change?
(1, 3.5) (2,7) (3, 9.5) (4, 7) (5, 12.5) (6, 11.5)
a. increase of 0.5
b. increase of 1.75
c. increase of 3
d. no change