Provide an appropriate response.Explain why, when rewriting a fraction with a different denominator, the fraction can be multiplied by another fraction whose numerator and denominator are the same.

What will be an ideal response?


Answers will vary. When the numerator and denominator are the same, the fraction is equal to 1. Any number multiplied by 1 is the number itself.

Mathematics

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Find the derivative.y =  + 5 sec x

A. y ' = -  - 5 csc x
B. y ' = -  + 5 sec x tan x
C. y ' = -  + 5 tan2x
D. y ' =  - 5 sec x tan x

Mathematics

The function Y2 is defined as Y1 + k for some real number k. Based upon the given information about Y1 and Y2, find k.  

A. 5 B. 4 C. -4 D. -5

Mathematics

Identify which of the twelve basic functions listed below fit the description given.y = x, y = x2, y = x3, y = , y = , y = ex, y = , y = ln x, y = sin x, y = cos x, y = int (x), y = The three functions that are bounded above

A. y = sin x, y = cos x, y = int (x)
B. y = ln x, y = , y = 
C. y = sin x, y = cos x, y = 
D. y = sin x, y = cos x, y = ln x

Mathematics

The circle graph below shows us how an average consumer spends money. Use this information to answer the question. What fraction of spending goes for the categories clothing and food combined?

A.
B.
C.
D.

Mathematics