Evaluate the expression.(f ? f)(6) when f(x) = 4x - 1 and g(x) = 4x2 - 5
A. 23
B. 91
C. 101
D. 19
Answer: B
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Consider the logistic equation. Find the equilibrium solutions. A detailed direction field is not needed. Assume 
and 
P'(t) = 0.05P
A. P = 0 and P = 800 B. P = 0 and P = 200 C. P = 0 and P = 400 D. P = 400
Plot the ordered pairs on the rectangular coordinate system provided.A(0, 2), B (-1, 0)
A. 
B. 
C. 
D. 
Decide whether or not the points are the vertices of a right triangle.Consider the three points A = (-3, 3), B = (-1, 7), C = (1, 6). Determine whether the triangle ABC is a right triangle. Explain your reasoning.
A. The side lengths of triangle ABC are d(A, B) = 3
, d(A, C) = 5, d(B, C) = 
.
[d(A, B)]2 + [d(B, C)]2 = (3
)2 + (
)2 = 18 + 5 = 23
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
B. The side lengths of triangle ABC are d(A, B) = 2
, d(A, C) = 2
, d(B, C) = 2.
[d(A, B)]2 + [d(B, C)]2 = (2
)2 + 22 = 20 + 4 = 24
[d(A, C)]2 = (2
)2 = 24
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.
C. The side lengths of triangle ABC are d(A, B) = 2
, d(A, C) = 5, d(B, C) = 2.
[d(A, B)]2 + [d(B, C)]2 = (2
)2 + 22 = 20 + 4 = 24
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
D. The side lengths of triangle ABC are d(A, B) = 2
, d(A, C) = 5, d(B, C) = 
.
[d(A, B)]2 + [d(B, C)]2 = (2
)2 + (
)2 = 20 + 5 = 25
[d(A, C)]2 = 52 = 25
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.
Solve the given equation.
m = 18
A. m = 0
B. m = 
C. m = 3
D. m = 