The graph of the function f(x) = is shown in the standard (x,y) coordinate plane below. Which of the following, if any, is a list of each of the vertical asymptotes of f(x)?
(F) This function has no vertical asymptote.
(G) y = x + 1
(H) y = 2x – 1
(J) x = -1 and x = 2
(K) x = 1
If log3 81 = x + 1, then x = ?
(A)3 (B) 4 (C) 5 (D) 6 (E) 243
Correct Answer: A
If a cube has a volume of kcm3and a surface area of 10k cm2, what is its height in centimeters?
(F) (G) (H) (J) (K)
Correct Answer: H
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More ACT Math Exam Questions
- 1
The production cost of x computers for a company over one year is $175x + $150,000. To minimize production costs in a given year to $465,000, how many computers can the company make in that year?
- 2
Jacob works as a lifeguard at a local pool. At the beginning of a 12-hour overnight shift, the pool was full, and Jacob began draining it. After 2 hours, the pool was completely empty. He spent 3 hours cleaning the pool and then began filling it up again. The pool finished filling just as his shift ended. Which of the following graphs accurately describes the amount of water in the pool throughout Jacob’s shift?
- 3
The volume of a cone, which is derived by treating it as a pyramid with infinitely many lateral faces, is given by the formula V = πr2h, where r is the radius of the base and h is the height. If the radius is halved and the height is doubled, what will be the ratio of the new volume to the old volume?
- 4
Lucy is studying her ant farm. She needs to approximate the number of ants in the population, and she realizes that the number of ants, N, is close to 50 more than double the volume of the ant farm, V. Which of the formulas below expresses that approximation?
- 5A flight instructor charges $75 per lesson, plus an additional fee for the use of his plane. The charge for the use of his plane varies directly with the cube root of the time the plane is used. If a lesson plus 27 minutes of plane usage costs $120, what is the total amount charged for a lesson involving 64 minutes of plane usage?