Without graphing, determine whether the graph of the quadratic function opens up or opens down. Also, determine of the graph will be wider or narrower than the graph of y = x2.f(x) = -4 + 5x2 - 3

A. down, narrower
B. up, narrower
C. down, wider
D. up, wider


Answer: B

Mathematics

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Find the extreme values of the function subject to the given constraint.  

A. Maximum: 36 at   minimum: 0 at 
B. Maximum: 26 at   minimum: -26 at 
C. Maximum: 26 at   minimum: 0 at 
D. Maximum: 36 at   minimum: -36 at 

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Rationalize the denominator. Assume that all variables represent positive real numbers.

A.
B.
C.
D.

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Graph the linear equation.x = -7

A.

B.

C.

D.

Mathematics

In business, equipment is often depreciated using the double declining-balance method. In this method, a piece of equipment with a life expectancy of N years, costing $C, will depreciate to a value of $V in n years, where n is given by the formula ? ? A word processor worth $460 when new had a life expectancy of 12 years. If it is now worth $40, how old is it? ? Please enter your answer as a number without the units, rounded to one decimal place.

Fill in the blank(s) with the appropriate word(s).

Mathematics