math stuff

How does the graph of g(x)=1/x-5 +2 compare to the graph of the parent function f(x)=1/x

Not A

The school auditorium has 900 seats. The inequalitymc018-1.jpg, with x representing adults and y representing children, can be solved to find the possible combinations of adults and children attending an event. Which reason describes why the ordered pair (450, 450) must be included in the solution set of the inequality?

Not A

The speed, s, of the current in a certain whirlpool is modeled by s=300/d, where d is the distance from the center of the whirlpool. Which statement is true?

Not A

Which graph shows the solution set of x^2+9x-22/x+4≥ 0

Not A

For the inverse variation equation p=8/v, what is the value of V when p = 4?

Not A or B

The graph of the function f(x)=10/x+2 is shown below.

Not A.

Which statement is true about the discontinuities of the function f(x)? f(x)=x-5/3x2-17x-28

Not A.

Which inequality has a dashed boundary line when graphed?

Not A. y≥ 3/5x+1

If f(x) = 5x, what is f-1(x)?

Not B

What is the horizontal asymptote of f(x)=-2x/x+1

Not B

What is the value of the product (3 - 2i)(3 + 2i)?

Not B

Where are the asymptotes for the following function located? f(x)=14/(x-5)(x+3)

Not B

Which phrase is equivalent to "Franco must work a minimum of 32 hours"?

Not B

Which statement decribes the behavior of the function f(x)=3x/4-x?

Not B

Which equation shows an example of the associative property of addition?

Not B(-4 + i) + 4i = 4i + (-4i + i)

Aiko incorrectly used the identity property by combining the real number and the coefficient of the imaginary part.

Not C

What are the equations of the asymptotes of the graph of the function f(x)=3x2-2x-1/x2+3x-10

Not C

What are the vertical and horizontal asymptotes for the function f(x)= 3x2/x2-4

Not C

Which phrase includes "being equal to 50"?

Not C.

The school's guidance department compares the grade-point averages and standardized state test scores for 10 students in each grade. The table below shows the correlation coefficient for each data set.

Not C. 10th and 12th

Irina plotted the number of participants in a summer camp program on a coordinate plane to create the following scatterplot. Which graph shows the line of best fit for this scatterplot?

Not D

Poloma believes that the equation of the line of best fit for the following scatterplot is mc024-1.jpg. Which statement best summarizes why she must be wrong?

Not D

Which inequality is graphed below? X starts a 2

Not D

Jeremy works two jobs. He makes $8/hr working at a deli and $12/hr working for a landscaper. Let x represent the number of hours he works at the deli, and let y represent the number of hours he works for the landscaper. What do the solutions of the inequality mc013-1.jpg represent?

Not D.

What is the solution set of the quadratic inequality 4(x + 2)2 ≤ 0?

Not D.

Which graph represents the function f(x) =2/x-1 +4

Not b or c

Which statement verifies that f(x) and g(x) are inverses of each other?

d. f(g(x)) = x and g(f(x)) = x

If f(x)=5x-25 and g(x)=1/5x+5, which expression could be used to verify g(x) is the inverse of f(x)?

B

For several years, Graham has gathered data on students who own a computer and on their performance on a typing-speed test. He creates the linear model y = 3.8x + 17.4 where y represents the typing speed, in words per minute, of a student and x represents the number of years the student has owned a computer. According to Graham's model, what is the approximate speed of a student who has owned a computer for three years?

B, 29 words/min

Mark and Nora both work at the same pet store. The inequality mc017-1.jpg relates x, the number of hours Mark works each week, and y, the number of hours that Nora works. Which ordered pair must be included in the solution set of the inequality when interpreted in the context of the problem?

B. (0,0)

Which equation is an example of the commutative property of multiplication?

B. (4 + 2i)(3 - 5i) = (3 - 5i)(4 + 2i)

What is the value of i 97 - i?

B. 0

A graph of a quadratic function y = f(x) is shown below. What is the solution set of the quadratic inequality f(x) ≤ 0?

B. 0/

The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he scored in each game. Estimate the location of the line of best fit. About how many points would Tyler score if he played for 40 minutes?

B. 22 points

The scatterplot shows the number of home runs Mario hits during his first four seasons on the company softball team. If his output continues to follow the linear model, approximately how many home runs will Mario hit during his ninth season?

B. 35 home runs

What is the greatest possible integer value of x for which √ x-5 is an imaginary number?

B. 4

vA grocery store sells almonds for $7/lb and peanuts for $5/lb. Let x represent the number of pounds of almonds, and let y represents the number of pounds of peanuts. Which inequality can be used to find how much of each type of nut can bought without spending more than $10?

B. 7x+5y≤10

What is the sum of 12 - 5i and -3 + 4i?

B. 9 - i

The table below shows the lengths and weights of six dolphins at an aquarium. Use the data from Pax and Snowflake to create a linear model that predicts the weight (y) of a dolphin given its length (x). Which dolphin's weight differs most from the value predicted by this model?

B. Jojo

For which scatterplot is the correlation strongest?

B. and dots make a line sort of

At Thursday's basketball game, there were more than twice as many adult spectators as children. If x represents the number of adults and y represents the number of children, which inequality can be used to find the possible combinations of adults and children at the game?

B. x > 2y

The function h(x) is given below. h(x) = {(3, -5), (5, -7), (6, -9), (10, -12), (12, -16)} Which of the following gives h-1(x)?

B. {(-5, 3), (-7, 5), (-9, 6), (-12, 10), (-16, 12)}

Which notation best represents the phrase "no more than 200"?

B. ≤200

Which statement decribes the behavior of the function f(x)=2x/1-x2

B.The graph approaches 0 as x approaches infinity.

How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x?

B.The range of both f(x) and g(x) is all nonzero real numbers

What are the vertical and horizontal asymptotes of f(x)=2x/x-1

B.horizontal asymptote at y = 2, vertical asymptote at x = 1

What are the removable discontinuities of the following function? f(x)=x2-36/x3-36x

B.x = -6 and x = 6

What values make the inequality x+6/6-x<0 true?

C

Which pair of complex numbers has a real-number product?

C. (1 + 3i)(1 - 3i)

An amusement parks sells adult tickets for $18 each and youth tickets for $12 each. Kalila is using the inequality mc014-1.jpg to find the combinations of tickets she can buy without exceeding her $250 budget. The ordered pair (4, 3) is a solution of the inequality. What does (4, 3) represent?

C. Kalila purchases 4 adult tickets and 3 youth tickets.

Which point shows the location of 5 - 2i on the complex plane below?

C. Point C

The line of best fit for the scatterplot below passes through which pair of points?

C. R and Q s and t by self

Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. The are both using the same data points to find an equation of the line of best fit: the squirrel population, p, in 2002 and the squirrel population, q, in 2011. Mark is using the year as the x-value, and he represents his data as (2002, p) and (2011, q). Jessica is using the years since 2000 as her x-value, and she represents her data as (2, p) and (11, q). Which statement best describes how their prediction equations compare?

C. Their equations have different y-intercepts but the same slopes.

The scatterplot shows the number of athletes on the field hockey and tennis teams at Southern High School during seven different years. Which statement is best supported by the line of best fit?

C. When there are 10 field hockey players, there will be about 35 tennis players.

For which data set is a linear regression most reasonable?

C. a set of four data pairs with a correlation coefficient r = -0.8

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

C. dot a -1

Which graph shows a function whose inverse is also a function?

C. f1(x)

What is the solution set to the inequality (4x-3)(2x-1) ≥ 0?

C. x | x≤ 1/2 or x≥ 3/4

For which data set is a linear regression most reasonable?

C.a set of four data pairs with a correlation coefficient r = -0.8

What is the domain of f(x)=3x/x-1

C.all real numbers except 1

Which function has no horizontal asymptote?

C.f(x)2x^2/3x-1

The graph below shows the function f(x)=5x+10/x2+7x+10

C.x = -2

The critical points of a rational inequality are x = -4 and x = 2. Which set of points can be tested to solve the inequality?

C.x = -5, x = 0, and x = 3

Which graph represents the function f(x)=3x-2/x-2

D

The line of best fit for the scatterplot below passes through which pair of points?

D s and q little r by itselg

Which graph represents the function f(x)=1/x -1

D.

Given x varies inversely with y and xy = 2, what is the value of x when y = 1?

D. 2

For the inverse variation equation p=8/v, what is the value of V when p = 1/4?

D. 32

Tim throws a stick straight up in the air from the ground. The function h = -16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?

A. -16t2 + 48t > 8

Which expression is equivalent to (4 + 6i)2?

A. -20 + 48i

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y=3x10^8/x

A. 1 × 10-10 m

The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

A. 7/11x+29/11

A local store's clearance rack is full of DVDs selling for $8 each and CDs selling for $6 each. Let x represent the number of DVDs, and let y represent the number of CDs. Which inequality can be used to find combinations of DVDs and CDs that can be bought with a $50 gift card?

A. 8x+6y50

Donte simplified the expression below. mc024-1.jpg What mistake did Donte make?

A. He did not apply the distributive property correctly for 4(1 + 3i).

Marta believes that the equation of the line of best fit for the scatterplot below is mc026-1.jpg. Which statement best summarizes why Marta is likely incorrect?

A. Marta's equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.

Which graph shows a function whose inverse is also a function? two of them

A. f1(x) and f(x)

Which function is the inverse of f(x) = -5x - 4?

A. f1(x)=-1/5-4/5

The graph of f(x) is shown below.

A. line going straight up

If the function f(x) = mx + b has an inverse function, which statement must be true?

A. m=/0

A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 2000 to create a linear model that predicts the life expectancy, in years, (y) of a female born in a given year (x).

A. y = 0.213x - 352.0

Which inequality is graphed below? x starts at 4

A. y≥ -1/2x+2

A graph of quadratic function y = f(x) is shown below. What is the solution set of the quadratic inequality f(x)≥ 0?

A. { x | xer and u graph all in top left

Where is the hole for the following function located? f(x)=x+3/(x-4)(x+3)

A.x = -3

The graph of the function f(x)=3/x+5 is shown below.

A.x = -5

What is the solution of x^2+x-6/x-7≤ 0

A.x mc015-2.jpg -3 or 2 mc015-3.jpg x mc015-4.jpg 7

What is the horizontal asymptote of the function f(x)=(x-2)/(x-3)^2

A.y = 0

A restaurant wishes to have at least one server for every 12 tables. Each of the tables in the restaurant seats four guests. If x is the number of servers and y is the number of guests, which inequality represents the restaurant's desired relationship of the number of servers to the number of guests?

D. 48x≥ y

For the inverse variation equation xy = k, what is the constant of variation, k, when x = -3 and y = -2?

D. 6

What is the value of i 20+1?

D. i

Which property of addition is shown below? If x = a + bi and y = -a - bi, x + y = 0.

D. inverse property

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

D. the graph of h(x) passes the horizontal line test

In which context will the inequality 4x + 5y > 80 have only integers in its solution set?

D. when x represents the number of cats and y represents the number of dogs

The graph of the function f(x)=6/x-3 is shown below.

D. x = 3

The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which inequality represents this situation?

D. x+y≤ 28

Which inequality has a solid boundary line when graphed?

D. y+x≤7

Which quadratic inequality does the graph below represent?

D. y≤ x2-3

Which notation best represents the phrase "at least 24"?

D. ≥ 24

For the inverse variation equation p=8/v, what is the value of V when p = 1/2?

D.16

What is the domain of the function f(x)=x+1/x2-6x+8

D.all real numbers except 2 and 4

Which statement describes the domain of the function f(x)=3x/4x2-4

D.all real numbers except x = -1 and x = 1