The function g(x) = x4- 2x3- 6x2– x + 5 and line h are shown in the standard (x,y) coordinate plane below. Which of the following is an equation of line h, which passes through (-1,3) and (2,-21)?
(F) -8x - 5
(G) -8x + 5
(H) -9x + 5
(J) -9x - 5
(K) -6x - 5
The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = r 2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?
(A)2 (B)4 (C)8 (D)12 (E)16
Correct Answer: B
For all real values of a and b, the equation |a - b| = 5 can be interpreted as "the positive difference of a and b is 5." What is the positive difference between the 2 solutions for a?
(F) b (G) b + 5 (H) 2b (J) (K) 10
Correct Answer: K
What is the slope of a line perpendicular to the line 3x + 2y = 19?
(A)- (B) (C) (D) (E) 3
Correct Answer: C
More ACT Math Exam Questions
- 1What is the maximum number of distinct diagonals that can be drawn in the hexagon shown below?
- 2
Which of the following inequalities represents the graph shown below on the real number line?
- 3
Of the 126 students who applied for a full scholarship at Oxbow College, 9 received one. What is the ratio of students who received a scholarship to those who didn’t?
- 4
A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
The group that took the survey wants to show the data in a circle graph (pie chart). What should be the measure of the central angle of the portion for one-star reviews?
- 5
Each of the following values could represent a probability EXCEPT: