Use set-builder notation to describe all real numbers satisfying the given conditions.If the quotient of seven times a number and four is increased by 4, the result is at least 38.

A.  or 
B.  or 
C.  or 
D.  or 


Answer: D

Mathematics

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Solve the problem.What polynomial, when divided by 4ax6, yields -6ax6 - 4x3 + 8 as a quotient?

A. -24a2x12 - 16ax9 B. -24a2x12 - 16ax9 + 32ax6 C. -24ax6 - 16x3 + 32 D. -24a2x12 - 4x3 + 8

Mathematics

Solve the problem.A square piece of cardboard is to be formed into an open-topped box by cutting  squares from the corners and folding up the sides. The volume of the resulting box is given by the formula V = 2(x - 4)2, where x is the original length of each side of the piece of cardboard. What is the volume of the box if the original length of each side of the piece of cardboard is 8 inches?

A. 128 in.3 B. 8 in.3 C. 32 in.3 D. 16 in.3

Mathematics

Simplify by combining like terms. Write the final answer with descending powers.8 - 10x2 + 4x2 - 4 - 3x

A. -6x2 - 3x + 12 B. -6x2 + 3x + 4 C. -6x2 - 3x + 4 D. -14x2 - 3x + 4

Mathematics

Solve the problem.The size P of a small herbivore population at time t (in years) obeys the function  if they have enough food and the predator population stays constant. After how many years will the population reach 1,800?

A. 8.91 yrs B. 3.65 yrs C. 11.56 yrs D. 35.8 yrs

Mathematics