Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x2(x - 4)(x - 6)
A. x = 0, touches the x-axis and turns around;
x = -4, crosses the x-axis;
x = -6, crosses the x-axis
B. x = 0, crosses the x-axis;
x = 4, crosses the x-axis;
x = 6, crosses the x-axis
C. x = 0, crosses the x-axis;
x = 4, touches the x-axis and turns around;
x = 6, touches the x-axis and turns around
D. x = 0, touches the x-axis and turns around;
x = 4, crosses the x-axis;
x = 6, crosses the x-axis
Answer: D
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A.
B. -4
C. 2
D. -
Solve the problem.Five horses (A, B, C, D, and E) are racing at the local track. According to the oddsmakers, A has a "one in four" probability of winning [i.e. Pr(A) = ], B has a "one in ten" probability of winning, and C has a "one in twenty" probability of winning. The remaining two horses both have the same probability of winning. Find the probability assignment for the probability space.
A. Pr(A) = , Pr(B) =
, Pr(C) =
, Pr(D) =
, Pr(E) =
B. Pr(A) = , Pr(B) =
, Pr(C) =
, Pr(D) =
, Pr(E) =
C. Pr(A) = , Pr(B) =
, Pr(C) =
, Pr(D) =
, Pr(E) =
D. Pr(A) = , Pr(B) =
, Pr(C) =
, Pr(D) =
, Pr(E) =
E. Pr(A) = , Pr(B) =
, Pr(C) =
, Pr(D) =
, Pr(E) =
Consider the function at
. Round answers to eight decimal places, if necessary.
?
Use the second Taylor polynomial to approximate .
?
__________
?
Find a bound for the error in the approximation.
?
__________
What will be an ideal response?
Use a system of equations to find the parabola of the form that goes through the three given points.
,
,
A. y = -3x2 - 4x + 2 B. y = -3x2 - 4x - 2 C. y = -3x2 + 4x - 2 D. y = 3x2 - 4x - 2