Factor by grouping.x2 - xy + 4x - 4y

A. (x - y)(x + 4)
B. (x + y)(x + 4)
C. (x - y)(x - 4)
D. (x + y)(x - 4)


Answer: A

Mathematics

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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = tan

A. y = tan u; u = ? -  =  sec tan
B. y = tan u; u = ? -  = sec2
C. y = tan u; u = ? -  = sec2
D. y = tan u; u = ? -  =  sec2

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Provide an appropriate response.If hot dogs come in packages of ten and buns come in packages of eight, what is the minimum number of packages of hot dogs and buns that need to be purchased so that there is an equal number of hot dogs and buns?

What will be an ideal response?

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Evaluate the integral.  

A.  - 5 ln  + C
B.  - sin-1  + C
C. -sin-1 -  + C
D.  + 5 ln  + C

Mathematics

Solve the problem.A box with an open top is formed by cutting squares out of the corners of a rectangular piece of cardboard and then folding up the sides. If x represents the length of the side of the square cut from each corner, and if the original piece of cardboard is 19 inches by 15 inches, what size square must be cut if the volume of the box is to be 308 cubic inches? 

A. 11 in. by 11 in. B. 1 in. by 1 in. C. 7 in. by 7 in. D. 4 in. by 4 in.

Mathematics