Practice Exam Answers

44 verified answers

The average daily temperature, t , in degrees Fahrenheit for a city as a function of the month of the year, m , can be modeled by the equation graphed, where m is equal to 0 represents January 1 , m is equal to 1 represents February 1, m is equal to 2 represents March 1 , and so on. If the equation is t is equal to A cosine open paren pi over 6 times open paren m plus 1 close paren close paren plus k , what are the values of A and k ?

A is equal to negative 50 ; k is equal to 30

A is equal to negative 20 ; k is equal to 60

A is equal to negative 60 ; k is equal to 20

A is equal to negative 30 ; k is equal to 50

Free Preview

What is the value of open paren f minus g close paren of 5 ?

negative 4

negative 18

If a vertical line is dropped from the x -axis to the point open paren 12 comma negative 9 close paren in the diagram, what is the value of secant theta ?

5 thirds

negative 5 fourths

negative 5 thirds

5 fourths

On a unit circle, the vertical distance from the x -axis to a point on the perimeter of the circle is twice the horizontal distance from the y -axis to the same point. What is sine theta ?

the fraction with numerator 2 square root of 5 and denominator 5

the fraction with numerator square root of 5 and denominator 5

1 fifth

Carlos graphs the equations y is equal to negative 1 half x squared plus 4 and y is equal to negative 1 half x squared minus 2 x plus 2 and generates the graph. Which conclusion is supported by the graph?

The equation negative 1 half x squared plus 4 is equal to negative 1 half x squared minus 2 x plus 2 has four real solutions.

The equation negative 1 half x squared plus 4 is equal to negative 1 half x squared minus 2 x plus 2 has two real solutions.

The equation negative 1 half x squared plus 4 is equal to negative 1 half x squared minus 2 x plus 2 has one real solution.

The equation negative 1 half x squared plus 4 is equal to negative 1 half x squared minus 2 x plus 2 has no real solutions.

What is x , the length of the diagonal, to the nearest whole number?

Which is the base shape of this prism?

square

non-square rectangle

triangle

trapezoid

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval left bracket 9 comma 11 right bracket ?

2 fifths

5 halves

What square footage of artificial grass is needed to cover this portion of the course?

16 pi plus 288

16 pi plus 180

8 pi plus 228

8 pi plus 180

Which expression represents the volume of the prism?

x times open paren x plus 1 close paren cubic units

x times open paren x minus 2 close paren cubic units

x squared times open paren x plus 1 close paren cubic units

x squared times open paren x minus 2 close paren cubic units

What is the range of the function y is equal to e to the x th power plus 1 graphed?

y is less than 0

y is greater than 0

y is greater than 1

y is less than 1

If g of x and f of x are inverse functions, which graph represents g of x ?

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 6 to 6 in increments of 1. A curve begins at the origin and extends to the right. The curve passes through approximately (1 comma 1) and (2 comma 4). The curve rises as x increases and becomes steeper to the right.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 6 to 6 in increments of 1. A curve begins at the origin and extends to the right. The curve passes through approximately (1 comma 0) and (4 comma 2). The curve rises as x increases and becomes steeper to the right.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 6 to 6 in increments of 1. A curve starts at the origin and extends to the left. The curve passes through approximately (negative 1 comma negative 1) and (negative 4 comma negative 2). The curve rises as x increases toward 0 and becomes steeper near the origin.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 6 to 6 in increments of 1. A curve starts at the origin and extends to the left. The curve passes through approximately (negative 1 comma 1) and (negative 4 comma 2). The curve falls as x increases toward 0 and becomes steeper near the origin.

What is the range of the graphed function?

the union of left bracket 4 right parenthesis and left bracket 2 right parenthesis

left bracket negative 4 comma infinity right parenthesis

left parenthesis negative infinity comma 4 right bracket

the union of left parenthesis 4 right bracket and open paren 2 close paren

If AC is equal to 48 meters, what is the perimeter of the field?

218 meters

40 meters

140 meters

70 meters

If the two towns have the same population density, which must also be true?

Town B has a greater population than Town A.

Town B has the same population as Town A.

Town B has a population of approximately 5 comma 138 .

Town B has a population of approximately 37 comma 530 .

An international calling plan charges 45 cents per minute or fraction of a minute for each call. Which graph models the cost, y , in cents of making x minutes of international calls?

Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 54 in increments of 1 with a line break. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with a closed circle and ends at (1 comma 45) with an open circle. Each step goes from left to right. The last step has a closed circle at (9 comma 54) and an open circle at (10 comma 54).

Image with description Coordinate plane with x- and y-axes labeled. The x-axis is labeled Minutes and marked from 1 to 8. The y-axis is labeled Cost and marked at 45, 90, 135, 180, 225, 270, 315, 360, 405, and 450. A step graph is shown. Open circles are plotted at (0 comma 45), (1 comma 90), (2 comma 135), (3 comma 180), (4 comma 225), (5 comma 270), (6 comma 315), (7 comma 360), (8 comma 405), and (9 comma 450). Closed circles are plotted one unit to the right at the same y-values. Horizontal segments connect each open circle to the closed circle at the same height.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis is labeled Minutes and marked from 1 to 8. The y-axis is labeled Cost and marked at 45, 90, 135, 180, 225, 270, 315, 360, 405, and 450. A step graph is shown. Closed circles are plotted at (0 comma 45), (1 comma 90), (2 comma 135), (3 comma 180), (4 comma 225), (5 comma 270), (6 comma 315), (7 comma 360), (8 comma 405), and (9 comma 450). Open circles are plotted one unit to the right at the same y-values. Horizontal segments connect each closed circle to the open circle at the same height.

Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 54 in increments of 1 with a line break. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with an open circle and ends at (1 comma 45) with a closed circle. Each step goes from left to right. The last step has an open circle at (9 comma 54) and a closed circle at (10 comma 54).

The graph of which function passes through open paren 0 comma 3 close paren and has an amplitude of 3 ?

f of x is equal to sine of x plus 3

f of x is equal to 3 sine x

f of x is equal to 3 cosine x

f of x is equal to cosine of x plus 3

Jerome solved the equation by graphing. the log base 2 of x plus log sub 2 of open paren x minus 2 close paren is equal to 3 Which of the following shows the correct system of equations and solution?

y sub 1 is equal to log x plus the log of open paren x minus 2 close paren , y sub 2 is equal to 3 ; x is equal to 44

y sub 1 is equal to log x plus the log of open paren x minus 2 close paren , y sub 2 is equal to 3 ; x is equal to 33

y sub 1 is equal to the fraction with numerator log x and denominator log 2 plus the fraction with numerator the log of open paren x minus 2 close paren and denominator log 2 , y sub 2 is equal to 3 ; x is equal to 4

Given the function f of x is equal to negative 5 start absolute value x plus 1 end absolute value plus 3 , for what values of x is f of x is equal to negative 12 ?

x is equal to 2 , x is equal to 4

x is equal to negative 2 , x is equal to 4

x is equal to 2 , x is equal to negative 4

x is equal to negative 2 , x is equal to negative 4

If 5 plus 20 times 2 raised to the 2 minus 3 x power is equal to 10 times 2 raised to the negative 2 x power plus 5 , what is the value of x ?

negative 2

negative 3

Did you find these answers helpful?

Practice Exam Answers

More from this Course

TRY EDGENUITY HACKS