Perform the indicated operations. Write the resulting polynomial in standard form.(x + 7y)(x - 7y)

A. x2 - 14y2
B. x2 + 14xy - 49y2
C. x2 - 49y2
D. x2 - 14xy - 49y2


Answer: C

Mathematics

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Write a proportion that models the situation described. Then, solve the proportion for x.If at a given speed a car can travel 162.4 miles on 7 gallons of gasoline, then the car can travel x miles on 119 gallons of gasoline at that speed. 

A.  = ; x = 2768.2 miles
B.  = ; x = 2768.2 miles
C.  = ; x = 2760.8 miles
D.  = ; x = 2760.8 miles

Mathematics

A toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 ft of trim.It costs the company $1.01 to make each dog and $1.33 for each dinosaur. The company wants to minimize its costs. What are the coefficients of the dual objective function?

A. 1, 4, 1 B. 300, 700, 230 C. 1, 2, 1.01 D. 1.01, 1.33

Mathematics

Graph the equation.f(x) =  (x + 2)2 - 5

A.

B.

C.

D.

Mathematics

Find f such that the given conditions are satisfied.f'(x) = x - 4, f(1) = 5

A. f(x) = x2 - 4x + 8
B. f(x) =  - 4x + 
C. f(x) =  - 4x + 
D. f(x) = x2 - 4x

Mathematics