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43

What is the quotient? the fraction with numerator t plus 3 and denominator t plus 4 divided by open paren t squared plus 7 t plus 12 close paren

A
the fraction with numerator 1 and denominator open paren t plus 4 close paren squared
B
the fraction with numerator 1 and denominator open paren t plus 3 close paren squared
C
open paren t plus 3 close paren squared
D
open paren t plus 4 close paren squared
44

Which is an x -intercept of the graph of the function y is equal to cotangent of 3 x ?

A
open paren pi over 6 comma 0 close paren
B
open paren 6 pi comma 0 close paren
C
open paren 3 pi comma 0 close paren
D
open paren pi over 3 comma 0 close paren
45

The function that represents the average cost per person, including transportation, to a museum is y is equal to the fraction with numerator 25 plus 8 x and denominator x Which statement is true about the graph of the function?

A
The vertical asymptote x is equal to 8 means the cost approaches zero as the number of people increases.
B
The horizontal asymptote y is equal to 0 means the cost approaches zero as the number of people increases.
C
The vertical asymptote x is equal to 0 means the cost approaches zero as the number of people increases.
D
The horizontal asymptote y is equal to 8 means the average cost approaches 8 dollars as the number of people increases.
47

Which statements are true?

A
statement 1 only
B
statement 2 only
C
neither statement 1 nor statement 2
D
both statement 1 and statement 2
48

Which solution finds the value of x in the triangle?

A
cosecant 60 degrees is equal to 8 over x the fraction with numerator 2 square root of 3 and denominator 3 is equal to 8 over x x times 2 square root of 3 is equal to 24 x is equal to the fraction with numerator 24 and denominator 2 square root of 3 x is equal to the fraction with numerator 12 and denominator square root of 3 times the fraction with numerator square root of 3 and denominator square root of 3 x is equal to the fraction with numerator 12 square root of 3 and denominator 3 x is equal to 4 square root of 3
B
secant 60 degrees is equal to 8 over x 2 is equal to 8 over x 2 x is equal to 8 x is equal to 4
C
cosecant 60 degrees is equal to 8 over x the fraction with numerator square root of 3 and denominator 2 is equal to 8 over x x times square root of 3 is equal to 16 x is equal to the fraction with numerator 16 and denominator square root of 3 x is equal to the fraction with numerator 16 and denominator square root of 3 times the fraction with numerator square root of 3 and denominator square root of 3 x is equal to the fraction with numerator 16 square root of 3 and denominator 3
D
secant 60 degrees is equal to 8 over x 1 half is equal to 8 over x x is equal to 16
49

What is the value of secant theta given the diagram?

A
negative the fraction with numerator square root of 5 and denominator 2
B
negative square root of 5
C
square root of 5
D
the fraction with numerator square root of 5 and denominator 2
50

Which of the following accurately lists all of the discontinuities for the graphed function?

A
jump discontinuities at x is equal to 0 and x is equal to 8 ; point discontinuity at x is equal to negative 2
B
jump discontinuity at x is equal to 0 ; point discontinuities at x is equal to negative 2 , x is equal to 3 , and x is equal to 8
C
jump discontinuity at x is equal to 0 ; point discontinuity at x is equal to 8
D
jump discontinuity at x is equal to 0 ; point discontinuities at x is equal to negative 2 and x is equal to 8

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N/A — Exam Answers — Precalculus