Factor.z6 + 1
A. (z + 1)(z - 1)(z4 - z2 + 1)
B. (z + 1)(z - 1)(z2 + z + 1)(z2 - z + 1)
C. (z3 + 1)(z3 - 1)
D. (z2 + 1)(z4 - z2 + 1)
Answer: D
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Evaluate the exponential expression.-24
A. 16 B. -32 C. -16 D. 32
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.
- 
= 1
A. center: (-2, 4)
transverse axis is parallel to y-axis
vertices: (-2, 4 - 3
) and (-2, 4 + 3
);
foci: (-2, -5) and (-2, 13)
asymptotes of y - 4 = - 
(x + 2) and y - 4 = 
(x + 2)
B. center: (-2, 4)
transverse axis is parallel to y-axis
vertices: (5, -4) and (-1, 14)
foci: (5, 5 - 3
) and (-1, 5 + 3
)
asymptotes of y - 4 = - 
(x + 2) and y - 4 = 
(x + 2)
C. center: (2, -4)
transverse axis is parallel to x-axis
vertices: (2, -13) and (2, 5)
foci: (2, -4 - 3
) and (2, -4 + 3
)
asymptotes of y - 4 = - 
(x + 2) and y - 4 = 
(x + 2)
D. center: (-2, 4)
transverse axis is parallel to y-axis
vertices: (-2, -5) and (-2, 13)
foci: (-2, 4 - 3
) and (-2, 4 + 3
)
asymptotes of y - 4 = - 
(x + 2) and y - 4 = 
(x + 2)
Use the multiplication principle of equality to eliminate the fractions or decimals; then solve.0.01y + 0.15(5000 - y) = 0.36y
A. 375 B. 1500 C. 4500 D. 3750
Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Find the x- and y-intercepts of the graph.(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.(d) Graph f using a graphing utility.(e) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g) Find the domain of f. Use the graph to find the range of f.(h) Use the graph to determine where f is increasing and where f is decreasing.f(x) = x2(x + 2)
What will be an ideal response?