Find the quadratic function y = f(x) that has the given vertex and whose graph passes through the given point.vertex (8, 6); passing through (4, 7)
A. y = 
(x + 8)2 + 6
B. y = (x - 8)2 + 6
C. y = 
(x + 8)2 - 6
D. y = 
(x - 8)2 + 6
Answer: D
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Solve the initial value problem for y as a function of x.
= 1, x > 7, y(14) = ln (2 + 7
)
A. y = ln 
+ ln (2 + 7
)
B. y = ln (x + 
) + ln (2 + 7
) - ln (14 + 7
)
C. y = 
ln 
+ ln 7
D. y = ln (x + 
) + ln (2 + 7
)
Decide if the number is rational or irrational.1.41421...
A. Rational B. Irrational
Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is 2.5 × 10-16 cubic meters. If the earth could be filled with bacteria, how many would it contain?
A. 5.0 × 1031 bacteria B. 2.0 × 10-30 bacteria C. 5.0 × 10-31 bacteria D. 2.0 × 1030 bacteria
Find the direction angle ? for the given vector. Let 0° ? ? < 360° and round ? to the nearest tenth when appropriate.
A. 225° B. 315° C. 270° D. 45°