Provide an appropriate response.Under what condition is this statement true for all x and y?  

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


If n = 1

Mathematics

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Provide an appropriate response.Suppose a machine will yield a net of $200 per month for 5 years, after which the machine would be worthless. How much should the firm pay for the machine if it wants to earn 5% annually on its investment and also set up a sinking fund to replace the purchase price? For the fund, assume monthly payments and a rate of 4% annually.

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

Mathematics

Provide an appropriate response.Solve for x: 1 - 4x - 4x2 = 0

A.
B. 2 ± 2
C. -2 ± 2
D.  ± 
E. -  ± 

Mathematics

Use elimination by substitution to find the solution for the following system.

A. x = -4, y = -2, z = -5 B. x = -4, y = -5, z = -2 C. x = -5, y = -2, z = -4 D. The system is inconsistent.

Mathematics

Find the vertex of the parabola given by . ?

A.
B. ?
C.
D.
E. ?

Mathematics