Mixed Degree Systems - Quiz Quiz

Question 1

Consider the following system of equations. y is equal to 6 x squared plus 1 y is equal to x squared plus 4 Which statement describes why the system has two solutions?

Revolt · Accepted Answer

C: The graphs of the equations intersect each other at two places.

Question 2

Parabola cap A can be represented using the equation open paren x plus 3 close paren squared is equal to y , while line cap b can be represented using the equation y is equal to m x plus 9 Isabel claims one solution to the system of two equations must always be the vertex of parabola cap A Which best describes the reasonableness of her claim?

Revolt · Accepted Answer

D: Isabel is correct because the  y -intercept of line  cap b  is (0, 9) and the value of  y  when  x is equal to 0  in parabola  cap A  is  9 .

Question 3

A system of equations is shown. {y^2+x^2=20y=−x^2 Plot the real solutions to the system of equations. Plot each point on the coordinate grid.

Revolt · Accepted Answer

[{"type":"point","points":[[-2,-4],[2,-4]]}]

Question 4

The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at open paren 0 comma 9 close paren If the circle intersects the parabola at the parabola’s vertex, which statement must be true?

Revolt · Accepted Answer

B: The maximum number of solutions is three.

Question 5

Consider the following system of equations. negative 10 x squared minus 10 y squared is equal to negative 300 5 x squared plus 5 y squared is equal to 150 Which statement describes why the system has infinite solutions?

Revolt · Accepted Answer

D: The equations represent circles that result in the same graph.

Question 6

What are the solutions to the following system? negative 2 x squared plus y is equal to negative 5 y is equal to negative 3 x squared plus 5

Revolt · Accepted Answer

C: open paren square root of 2 comma negative 1 close paren  and  open paren negative square root of 2 comma negative 1 close paren

Question 7

What are the solutions of the following system? 10 x squared minus y is equal to 48 2 y is equal to 16 x squared plus 48

Revolt · Accepted Answer

C: open paren 2 square root of 3 comma 120 close paren  and  open paren negative 2 square root of 3 comma 120 close paren

Question 8

Which graph shows the following system? x squared plus y is equal to 2 x squared plus y squared is equal to 9

Revolt · Accepted Answer

C: Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. The circle has a center at the origin and a radius of 3 units. The parabola opens down and has a vertex at (0 comma 2), and it passes through points (negative 1 comma 1), and (1 comma 1).

Question 9

Tom determines that the system of equations has two solutions, one of which is located at the vertex of the parabola. Equation 1: open paren x minus 3 close paren squared is equal to y minus 4 Equation 2: y is equal to negative x plus b In order for Tom’s thinking to be correct, which qualifications must be met?

Revolt · Accepted Answer

A: b  must equal  7  and a second solution to the system must be located at the point  open paren 1 comma 8 close paren .

Question 10

During a pumpkin launching contest, two pumpkins are launched at the same time. The path of pumpkin A is modeled by the equation y is equal to negative 0 point 0 1 x squared plus 0 point 3 2 x plus 4 The path of pumpkin B is modeled by the equation y is equal to negative 0 point 0 1 x squared plus 0 point 1 8 x plus 5 If x represents the distance the pumpkin traveled in feet and y represents height of the pumpkin in feet, what does the intersection point of the equations represent?

Revolt · Accepted Answer

B: the horizontal distance of the pumpkins from the launch site when their heights are the same

Mixed Degree Systems - Quiz Quiz Answers

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