Simplify the complex fraction.
A. 
B. 
C. 
D. 
Answer: A
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Provide an appropriate response.Assume that f(x) and g(x) are two functions with the following properties: g(x) and f(x) are everywhere continuous, differentiable, and positive; f(x) is everywhere increasing and g(x) is everywhere decreasing. Which of the following functions are everywhere decreasing? Prove your assertions.i). h(x) = f(x) + g(x)ii). j(x) = f(x) ? g(x)iii). k(x) = 
iv). p(x) = 
g(x)v). r(x) = f(g(x)) = (f ? g)(x)
What will be an ideal response?
Write the following using algebraic notation.7y divided by (y - 4)
A. 
B. 7y(y - 4)
C. 7y + (y - 4)
D. 
Find the exact value of the expression.
A. - 
B. -2
C. - 
D. -
Translate the sentence into an equation using the variable x. Do not solve the equation. State what the variable represents.Twelve times the number of yards minus two times the same number of yards is 41.
A. 12x + 2x = 41, where x is the number of yards B. 12 + 2x = 41x, where x is the number of yards C. 12x - 2x = 41, where x is the number of yards D. 12 - 2x = 41x, where x is the number of yards