Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as possible.Crosses the x-axis at -3, 0, and 1; lies below the x-axis between -3 and 0; lies above the x-axis between 0 and 1.
A. f(x) = x3 - 2x2 - 3x
B. f(x) = - x3 + 2x2 + 3x
C. f(x) = x3 + 2x2 - 3x
D. f(x) = -x3 - 2x2 + 3x
Answer: D
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Solve the problem.Suppose that the accompanying table shows the velocity of a car every second for 8 seconds. Use the Trapezoidal Rule to approximate the distance traveled by the car in the 8 seconds. Round your answer to the nearest tenth if necessary.
A. 162 ft B. 221.5 ft C. 145.5 ft D. 291 ft
Solve the problem.Find the length of each side of the triangle determined by the three points P1, P2, and P3. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both.P1 = (-5, -4), P2 = (-3, 4), P3 = (0, -1)
A. d(P1, P2) = 2
; d(P2, P3) = 
; d(P1, P3) = 
both
B. d(P1, P2) = 2
; d(P2, P3) = 
; d(P1, P3) = 5
right triangle
C. d(P1, P2) = 2
; d(P2, P3) = 
; d(P1, P3) = 5
neither
D. d(P1, P2) = 2
; d(P2, P3) = 
; d(P1, P3) = 
isosceles triangle
Write the percent as a decimal.60%
A. 0.6 B. 6 C. 0.06 D. 0.49
Write the number 
without using exponents.
Fill in the blank(s) with the appropriate word(s).