Solve the problem.Benjamin never has more than 21 hours free during the week. He is trying to make a weekly plan for dividing his free time between reading and working out. He wants to spend at least 7 hours per week reading. Write a system of inequalities to describe the situation. Let x represent the number of hours for reading and y represent the number of hours for working out.
A. x + y ? 21
y ? 7
x ? 0
B. x + y ? 21
x ? 7y
x ? 0
y ? 0
C. x + y ? 21
x ? 7y
x ? 0
y ? 0
D. x + y ? 21
x ? 7
y ? 0
Answer: D
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Find an approximate value of x using a scientific calculator. If necessary, round to four decimal places.ln x = -0.35
A. 0.7047 B. 2.2387 C. 0.4467 D. 1.4191
Find the center, foci, and vertices of the ellipse.36(x + 1)2 + 25(y - 2)2 = 900
A. center at (1, 2)
foci at (1, 2 - ), (1, 2 +
)
vertices at (1, 8), (1, -4)
B. center at (2, -1)
foci at (2, -1 - ), (2, -1 +
)
vertices at (2, 8), (2, -4)
C. center at (0, 2)
foci at (0, 2 - ), (0, 2 +
)
vertices at (0, 8), (0, -4)
D. center at (-1, 2)
foci at (-1, 2 - ), (-1, 2 +
)
vertices at (-1, 8), (-1, -4)
Find functions f and g so that f ? g = H.H(x) = (5 - 2x3)2
A. f(x) = 5 - 2x3 ; g(x) = x2 B. f(x) = (5 - 2x)3 ; g(x) = x2 C. f(x) = x3 ; g(x) = (5 - 2x)2 D. f(x) = x2 ; g(x) = 5 - 2x3
Simplify.
A. -
B. -
C. -
D. -