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As Tia solved the system of equations, she transformed matrices at different steps during the process. negative A minus b plus 2 c is equal to 7 2 A plus b plus c is equal to 2 negative 3 A plus 2 b plus 3 c is equal to 7 She noted the following matrices. I II III IV the 3 by 4 matrix, row 1, column 1, 1 column 2, 0 column 3, 0 column 4, 0 row 2, column 1, 0 column 2, 1 column 3, 0 column 4, negative 1 row 3, column 1, 0 column 2, 0 column 3, 1 column 4, 3 the 3 by 4 matrix, row 1, column 1, negative 1 column 2, negative 1 column 3, 2 column 4, 7 row 2, column 1, 2 column 2, 1 column 3, 1 column 4, 2 row 3, column 1, negative 3 column 2, 2 column 3, 3 column 4, 7 the 3 by 4 matrix, row 1, column 1, 1 column 2, 1 column 3, negative 2 column 4, negative 7 row 2, column 1, 0 column 2, 1 column 3, negative 5 column 4, negative 16 row 3, column 1, 0 column 2, 0 column 3, 22 column 4, 66 the 3 by 4 matrix, row 1, column 1, 1 column 2, 1 column 3, 0 column 4, negative 1 row 2, column 1, 0 column 2, 1 column 3, 0 column 4, negative 1 row 3, column 1, 0 column 2, 0 column 3, 1 column 4, 3 In which order should the matrices be arranged when solving the system from start to finish?

II, III, IV, I

IV, II, III, I

I, IV, III, II

II, IV, I, III

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What substitution should be used to rewrite x to the 8th power minus 3 x to the 4th power plus 2 is equal to 0 as a quadratic equation?

u is equal to x to the 8th power

u is equal to x to the 4th power

u is equal to x to the 16th power

u is equal to x squared

Which equation is the inverse of y is equal to x squared plus 16 ?

y is equal to x squared minus 4

y is equal to x squared minus 16

y is equal to plus or minus square root of x minus 16

y is equal to plus or minus square root of x minus 16 end root

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

180

130

110

What are the values of x and y in the given matrix subtraction? the 3 by 2 matrix, row 1, column 1, negative 20 column 2, 16 row 2, column 1, 4 column 2, 0 row 3, column 1, 9 column 2, negative 6 minus the 3 by 2 matrix, row 1, column 1, negative 5 column 2, 1 row 2, column 1, negative 6 column 2, 7 row 3, column 1, 0 column 2, 11 is equal to the 3 by 2 matrix, row 1, column 1, x column 2, y row 2, column 1, 10 column 2, negative 7 row 3, column 1, 9 column 2, negative 17

x is equal to negative 25 y is equal to 15

x is equal to negative 15 y is equal to 15

x is equal to negative 15 y is equal to 17

x is equal to negative 25 y is equal to 17

What is the equation of the line parallel to 3 x plus 5 y is equal to 11 that passes through the point open paren 15 comma 4 close paren ?

y is equal to 5 thirds x minus 21

y is equal to negative 3 fifths x plus 5

y is equal to negative 3 fifths x plus 13

y is equal to 5 thirds x minus 29

Which formula can be used to find the n th term of a geometric sequence where the first term is 8 and the common ratio is negative 3 ?

A sub n is equal to 8 times negative 3 to the n th power

A sub n is equal to negative 3 times 8 raised to the n minus 1 power

A sub n is equal to open paren 8 times negative 3 close paren raised to the n minus 1 power

A sub n is equal to 8 times negative 3 raised to the n minus 1 power

Graph the function f of x is equal to x cubed minus 3 x minus 2 Based on the graph, which value for x is a double root of this function?

negative 2

negative 1

What is the determinant of cap m is equal to the 2 by 2 matrix, row 1, column 1, 5 column 2, negative 5 row 2, column 1, 8 column 2, 4 ?

Which value must be added to the expression x squared minus 3 x to make it a perfect-square trinomial?

9 fourths

3 halves

Which graph shows the solution to the system of inequalities? x plus y is less than 3 negative 5 x plus 2 y is less than or equal to 10

Image with description On a coordinate plane, the x and y axes ranges from negative 5 to 5 with an interval of 1. There are two line: One is solid line and one is dashed line. The dashed lines passes through the point 3 comma 0 and 0 comma 3. The solid line passes through the point negative 2 comma 0 and 0 comma 5. The graph has a shaded region above the dashed and solid line.

Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 with an interval of 1 unit. One of the lines passes through (positive 3 comma 0) and (0 comma 3). The second line passes through (negative 2 comma 0) and (0 comma 5). The graph has a shaded region below the first line and above the second line.

Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 5 to 5 with an interval of 1. There are two line: One is solid line and one is dashed line. The dashed lines passes through the point 3 comma 0 and 0 comma 3. The solid line passes through the point negative 2 comma 0 and 0 comma 5. The graph has a shaded region between dashed and solid line.

Day and Night Kennel charges 20 dollars per day plus a one-time food fee of 15 dollars to board a pet. Bark Time Hotel charges 30 dollars per day plus a one-time food fee of 5 dollars Which system represents this real-world situation?

Image with description On a coordinate plane, the scale for the x axis range from negative 5 to 5 with an interval of 1 unit, and the scale on y axis range from negative 50 to 50 with an interval of 5 units. Two lines pass through the points (0 comma 5) and (0 comma 30) and intersect each other at (negative 2 point 5 comma negative 20).

Image with description Coordinate plane with x-axis and y-axis. Two straight lines intersect at the closed point 1 comma 35. One line has a moderate positive slope and passes through approximately negative 4 comma 10 and 4 comma 50. The second line has a steeper positive slope and passes through approximately negative 4 comma negative 50 and 2 comma 50. Both lines extend indefinitely in both directions as indicated by arrows. The graph shows a single intersection point at 1 comma 35.

Image with description Coordinate plane with x-axis and y-axis. Two steep straight lines with positive slopes pass through the closed point 0 comma 0. Both lines extend upward and downward with arrows. One line is slightly steeper than the other, so the lines intersect only at the origin and then diverge as x increases or decreases. The graph shows a single intersection point at 0 comma 0.

Image with description Coordinate plane with x-axis and y-axis. Two steep straight lines with positive slopes are shown. One line passes through the closed point 1 comma 35 and extends upward and downward with arrows. The second line is parallel to the first and lies slightly to the left, extending upward and downward with arrows. The lines do not intersect, indicating they have the same slope and different y-intercepts. The closed point 1 comma 35 lies on the right-hand line.

If cap t is equal to the 2 by 2 matrix, row 1, column 1, 23 column 2, negative 38 row 2, column 1, 17 column 2, negative 6 , then what is negative 10 times cap t ?

the 2 by 2 matrix, row 1, column 1, negative 230 column 2, 380 row 2, column 1, negative 170 column 2, 60

the 2 by 2 matrix, row 1, column 1, 33 column 2, negative 48 row 2, column 1, 27 column 2, negative 16

the 2 by 2 matrix, row 1, column 1, 13 column 2, negative 48 row 2, column 1, 7 column 2, negative 16

the 2 by 2 matrix row 1, 230 380 row 2, 170 60

Use synthetic division to solve open paren x cubed minus x squared minus 17 x minus 15 close paren divided by open paren x minus 5 close paren What is the quotient?

x squared minus 6 x plus 13 minus the fraction with numerator 80 and denominator x minus 5

x squared plus 4 x plus 3

x cubed plus 4 x squared plus 3 x

x squared minus 6 x plus 13 minus the fraction with numerator 80 and denominator x plus 5

If a polynomial function f of x has roots 3 plus square root of 5 and negative 6 , what must be a factor of f of x ?

open paren x plus open paren 5 plus square root of 3 close paren close paren

open paren x plus open paren 3 minus square root of 5 close paren close paren

open paren x minus open paren 5 minus square root of 3 close paren close paren

open paren x minus open paren 3 minus square root of 5 close paren close paren

If f of x is equal to negative x squared plus 3 x plus 5 and g of x is equal to x squared plus 2 x , which graph shows the graph of open paren f plus g close paren of x ?

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 8 to 8 in increments of 2. A line is shown. The line crosses the y-axis near y equals 6 and slopes downward from left to right. Arrowheads at both ends indicate the line continues beyond the displayed grid.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 8 to 8 in increments of 2. An upward-opening curve is shown. The curve reaches a lowest point at approximately (negative 1 comma 2). Arrowheads at both ends indicate the curve continues upward beyond the displayed grid.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 8 to 8 in increments of 2. A line is shown. The line crosses the y-axis near y equals 6 and slopes upward from left to right. Arrowheads at both ends indicate the line continues beyond the displayed grid.

Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 8 to 8 in increments of 2. A downward-opening curve is shown. The curve reaches a highest point at approximately (0.5 comma 5) and crosses the x-axis near x equals negative 1 and x equals 2. Arrowheads at both ends indicate the curve continues downward beyond the displayed grid.

Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0 point 9 Julio is working with 13 data pairs with a correlation coefficient of negative 0 point 8 Dan is working with 10 data pairs with a correlation coefficient of 0 point 1 Miriam is working with 15 data pairs with a correlation coefficient of negative 0 point 2 For which two data sets is a linear regression model reasonable?

Miriam’s and Aaliyah’s data sets

Julio’s and Miriam’s data sets

Aaliyah’s and Julio’s data sets

Dan’s and Miriam’s data sets

Which system is equivalent to the given system? 5 x squared plus 6 y squared is equal to 50 7 x squared plus 2 y squared is equal to 10

5 x squared plus 6 y squared is equal to 50 negative 21 x squared minus 6 y squared is equal to 10

35 x squared plus 42 y squared is equal to 350 negative 35 x squared minus 10 y squared is equal to negative 50

35 x squared plus 42 y squared is equal to 250 negative 35 x squared minus 10 y squared is equal to negative 50

5 x squared plus 6 y squared is equal to 50 negative 21 x squared minus 6 y squared is equal to 30

Which statement describes the system of equations? 3 x minus 4 y is equal to negative 35 3 x plus 4 y is equal to 5

The system has no solution.

The system has infinitely many solutions.

It has one solution open paren negative 5 comma 5 close paren .

It has one solution open paren 5 comma negative 5 close paren .

For which pair of functions is open paren g circ f close paren times A is equal to absolute value of A minus 2 ?

f of A is equal to 5 plus A squared and g of A is equal to square root of A minus 5 end root minus 2

f of A is equal to A squared minus 4 and g of A is equal to square root of A

f of A is equal to 3 minus 3 A and g of A is equal to 4 A minus 5

f of A is equal to 1 half A minus 1 and g of A is equal to 2 A minus 2

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