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The relationship between voltage, cap e , current, cap i , and resistance, cap z , is given by the equation cap e is equal to cap i cap z If a circuit has a current cap i is equal to 3 plus 2 i and a resistance cap z is equal to 2 minus i , what is the voltage of the circuit?

4 minus i

8 plus 7 i

8 plus i

4 plus i

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The graph of an equation with a negative discriminant always has which characteristic?

no maximum

no y -intercept

no x -intercept

no minimum

Which equation represents a linear function?

y plus 9 is equal to x times open paren x minus 1 close paren

x plus 7 is equal to negative 4 times open paren x plus 8 close paren

y minus 3 is equal to y times open paren x plus 4 close paren

y minus 2 is equal to negative 5 times open paren x minus 2 close paren

The height y , in feet, of a football x seconds after it is thrown is modeled by the equation y is equal to negative 16 x squared plus 24 x plus 1 What information does the zero of the equation 6 is equal to negative 16 x squared plus 24 x plus 1 represent?

the height of the ball after 6 seconds

the initial upward velocity of the ball

the horizontal distance traveled by the ball when it is 6 ft above the ground

when the ball is 6 ft above the ground

Given the function f of x is equal to 3 start absolute value x minus 2 end absolute value plus 6 , for what values of x is f of x is equal to 18 ?

x is equal to negative 2 , x is equal to 6

x is equal to negative 2 , x is equal to negative 6

x is equal to negative 2 , x is equal to 8

x is equal to negative 2 , x is equal to negative 8

Mira is playing a game where she is trying to toss a ball into a large basket or a small basket. The large basket is worth 2 points, and the small basket is worth 3 points. Mira made 15 baskets for a total of 35 points. If x represents the number of large baskets made and y represents the number of small baskets made, how many large baskets did she make? x plus y is equal to 15 2 x plus 3 y is equal to 35

10 large baskets

5 large baskets

2 large baskets

7 large baskets

Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 minus 4 i and Tomas has a score of 3 plus 2 i , what is their total score?

8 minus 6 i

8 plus 6 i

8 plus 2 i

8 minus 2 i

Which inequality has a dashed boundary line when graphed?

y is greater than or equal to 3 fifths x plus 1

y is greater than 3 x plus 1

y is less than or equal to 7 x minus 1

y is greater than or equal to negative 1 third x plus 1

What is the value of open paren negative 3 plus 3 i close paren plus open paren negative 2 plus 3 i close paren ?

negative 5 minus 6 i

5 minus 6 i

5 plus 6 i

negative 5 plus 6 i

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 on 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. The two lines pass through (0 comma 5) and (0 comma 15) and intersect each other at (1 comma 35).

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 On a coordinate plane, the scale on 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. The two lines pass through (0 comma 20) and (0 comma 30) and intersect each other at (1 comma 45).

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 scale on the x and y axes ranges from negative 5 to 5 with an interval of 1 unit. One of the lines passes through (0 comma positive 3) and (negative 3 comma 0). The other line passes through (positive 3 comma 0) and (0 comma negative 3).

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 x and y axes range from negative 5 to 5 with an interval of 1 unit. One of the lines passes through (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 that lies above the first line and below the second line.

Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes at three-quarters the rate she biked to the market. If the trip home takes 12 minutes longer than the trip to the market, how many minutes does it take Carmen to bike home?

28 min

36 min

16 min

48 min

The school band wishes to raise a minimum of 800 dollars by selling tickets to their holiday concert. They make 3 dollars from each student ticket and 5 dollars from each adult ticket. Let x represent the number of student tickets, and let y represent the number of adult tickets. Which linear inequality can be used to find the combinations of adult and student tickets that they can sell to meet their goal?

3 x plus 5 y is greater than or equal to 800

3 x plus 5 y is less than or equal to 800

3 y plus 5 y is greater than or equal to 800

3 y plus 5 x is less than or equal to 800

Which of the following graphs represents a function?

Image with description On a coordinate plane,with x-axis from negative 5 to 5, y-axis from 3 to negative 3 , a graph shows an image of a curved line connected to a straight line. The curved line is upward facing and goes through the y-axis at (0 comma 0.5). The curved line connects with the straight line at (1 comma 0.5). The straight line has a negative slope and goes through the x-axis at (1.8 comma 0).

Image with description On a coordinate plane, with x-axis from negative 5 to 5, y-axis from 3 to negative 3, a circle intercepts the x-axis at points (negative 2 comma 0) and (2 comma 0) and intercepts the y-axis between points 3 and 4 and also between points negative 3 and negative 4.

Image with description On a coordinate plane comma with x-axis from negative 5 to 5, y-axis from negative 5 to 5 , a parabola opens to right and has a vertex at (negative 3 comma 3).

Image with description A coordinate plane with x-axis from negative 5 to 5, y-axis from negative 5 to 5 , has 7 points. The points are (negative 4 comma 3) comma (negative 2 comma negative 5) comma (negative 1 comma negative 3) comma (1 comma 3) comma (2 comma negative 2) comma (4 comma negative 2) comma (4 comma 2).

What is the vertex of the graph of y is equal to 3 x squared plus 2 x plus 1 ?

open paren 1 third comma 2 close paren

open paren negative 1 third comma 2 thirds close paren

open paren 1 third comma 0 close paren

open paren negative 1 third comma 0 close paren

Which phrase best describes the translation from the graph y is equal to open paren x plus 2 close paren squared to the graph of y is equal to x squared plus 3 ?

2 units left and 3 units up

2 units left and 3 units down

2 units right and 3 units down

2 units right and 3 units up

The school auditorium has 900 seats. The inequality x plus y is less than or equal to 900 , 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 open paren 450 comma 450 close paren must be included in the solution set of the inequality?

The ordered pair is on the boundary line of the graph of the inequality.

The context of the problem allows only integer solutions.

The x -value is equal to the y -value.

The ordered pair is in the shaded region of the graph of the inequality.

The square of 9 less than a number is 3 less than the number. What is the number?

negative 12 or negative 7

7 or 12

negative 12 or 7

negative 7 or 12

The cost, cap c , to produce b baseball bats per day is modeled by the function cap c times b is equal to 0 point 0 6 b squared minus 7 point 2 b plus 390 What number of bats should be produced to keep costs at a minimum?

174 bats

27 bats

390 bats

60 bats

Which expression is equivalent to open paren 4 plus 7 i close paren times open paren 3 plus 4 i close paren ?

16 minus 37 i

negative 16 plus 37 i

37 plus 16 i

12 minus 28 i

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