Solve the problem.A square box with an open top is to be constructed from a rectangular piece of cardboard with side length 14 inches by cutting out equal squares of side length x at each corner and then folding up the sides. Write a completely factored polynomial whose values give the volume of the box.
A. 4x(7 - x)(7 + x)
B. 4x(3.5 - x)(3.5 + x)
C. 4x(3.5 - x)2
D. 4x(7 - x)2
Answer: D
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Solve the problem.Show that g(x) = 
is an increasing function of x.
What will be an ideal response?
Factor out the greatest common factor.9m(2 - m) + 4n(2 - m)
A. (9m + 4n)(2 - m) B. (9m - 4n)(2 - m) C. 9(m + n)(2 - m) D. m(9 + 4n)(2 - m)
The table shows Jose's expenses for one month. Use the table to answer the question.How much more did Jose spend on rent than on entertainment?Monthly ExpensesRent$418Food$194Car repairs, gas$95.80Utilities$57.74Phone (long distance)$66.64Phone (local)$20.29Drumming lessons$108Entertainment$57.80
A. 7.23 B. 475.80 C. 368.12 D. 360.20
Provide an appropriate answer.Let A = 
and B = 
. Show that A(A + B) = A2 + AB. Show all your work.
What will be an ideal response?