Solve the problem.From a 10-inch by 10-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x.
A. V(x) = 4x3 - 40x2
B. V(x) = 2x3 - 30x2 + 10x
C. V(x) = 2x3 - 30x2
D. V(x) = 4x3 - 40x2 + 100x
Answer: D
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There are various formulas that will generate Pythagorean triples. Use the specified formula and specified values to generate a Pythagorean triple.For positive integers r and s such that r > s, the following set of equations will generate a Pythagorean triple (a, b, c). a = r2 - s2, b = 2rs, c = r2 + s2.Use this method with the values r = 8 and s = 1 to generate a Pythagorean triple.
A. (14, 16, 18) B. (64, 15, 68) C. (63, 16, 65) D. (64, 18, 65)
Solve the absolute value inequality. Write your answer in interval notation.|7k - 4| - 8 > -1
A. 
? 
B. 
C. 
D. 
In the following table, Y1 is defined by a rational expression of the form 
. Use the table to find the values of p and q.
A. p = 5; q = 2 B. p = 4; q = 5 C. p = 5; q = 4 D. p = 2; q = 5
Use synthetic division to decide whether the given number is a zero of the given polynomial.1; P(x) = x4 + 3x2 - 4
A. No B. Yes