Completely factor the polynomial or state that the polynomial is prime.81x2 - 25

A. (81x + 1)(x - 25) 
B. (9x + 5)2
C. (9x - 5)2
D. (9x + 5)(9x - 5) 


Answer: D

Mathematics

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Provide an appropriate response.Consider the inequality x2 + y2 < 3x + y.(a) Find an equivalent inequality in polar coordinates.(b) Use an integral with respect to ? to find the area of the region defined by the inequality.(c) Find the length of the curve that forms the boundary of the region defined by the inequality.(d) Find the slope of this curve at the point (2, 2).

What will be an ideal response?

Mathematics

Solve the problem.Find the center of mass of the region of constant density bounded from above by the sphere  and from below by the cone 

A.  = 0,  = 0,  = 3(2 + )
B.  = 0,  = 0,  = (2 + )
C.  = 0,  = 0,  = (2 + )
D.  = 0,  = 0,  = (2 + )

Mathematics

Use dimensional analysis to answer the question. Which weight is heavier? 9 ounces or 316.8 grams

A. They are the same weight. B. 9 ounces C. 316.8 grams

Mathematics

Find the general term of the arithmetic sequence then find the indicated term of the sequence. Assume that the domain of the sequence is all natural numbers.Find an and a8.

A. an = n - 1; a8 = 7 B. an = n + 2; a8 = 10 C. an = n + 1; a8 = 9 D. an = n - 2; a8 = 6

Mathematics