Solve the problem.The price of a desk was 4y. During a sale, the price was reduced by $80. The store sold 2x desks during the first week of the sale. Write an expression with parentheses to represent the value of the desks sold during the first week. Then use the distributive property to write the expression without parentheses.

A. 2x(4y - 80) = 8xy - 160 dollars
B. 4y(2x - 80) = 8xy - 320y dollars
C. 2x(4y - 80) = 8xy - 80 dollars
D. 2x(4y - 80) = 8xy - 160x dollars


Answer: D

Mathematics

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Solve.An elliptical trainer is an exercise machine in which your foot moves in an elliptical path. On a typical machine, the length of the stride is about 22 inches and the height is varies from 2 to 6 inches depending on the settings. Write the equation for the path your foot takes if the total length of the stride is 22 inches and the total height is 4 inches.22 inches4 inches  

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Provide an appropriate response.Fariba is "it" in a game of Guess My Rule. The students' inputs and Fariba's outputs are shown in the table below.Input Given-101346Output Reported-35?-36?-35?-27?-20?0?(i) Guess Fariba's rule (function), y = C(x).(ii) Hallie says that Fariba's rule is C(x) = x2 - 36, but Sam claims that it is C(x) = (x + 6)(x - 6). Who is correct, Hallie or Sam, both, or neither? Explain.

A. (i) C(x) = (x - 6)(x - 6) (ii) Sam is correct. B. (i) C(x) = x2 - 36 (ii) Both Hallie and Sam are correct as (x + 6)(x - 6) = x2 - 36. C. (i) C(x) = x2 + 36 (ii) Neither Hallie and Sam is correct. D. (i) C(x) = x2 - 6 (ii) Hallie is correct.

Mathematics

For the given polar equation, write an equivalent rectangular equation.r = 9cot ? csc ?

A. y = 9x2 
B. y = 
C. y2 = 9x
D. y = 9x

Mathematics

Find an upper bound for the magnitude |E| of the error in the linear approximation L to f at the given point over the given region.  at  R: |x + 7| ? 0.1, |y + 10| ? 0.1

A. |E| ? 0.02 B. |E| ? 0.04 C. |E| ? 0.06 D. |E| ? 0.08

Mathematics