Mixed Degree Systems Answers
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1
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Which graph shows a system of equations with exactly one solution?
A
On a coordinate plane, a graph shows a smaller circle within a larger circle in quadrants 2 and 3. The larger circle is in both quadrants, but the smaller circle is in the middle of the larger circle in quadrant 2.
B
On a coordinate plane, the graph of a circle and a parabola are shown. The circle is in quadrant 3. The parabola has a vertex in quadrant 1 and goes through the circle in quadrant 3.
C
On a coordinate plane, the graph of a circle and a straight line are shown. The circle is in quadrant 1. The line has a negative slope and starts in quadrant 2, crosses the y-axis at (0, 3), and crossed the x-axis at (3, 0). The line does not go through the circle.
D
On a coordinate plane, the graphs of 2 parabolas are shown. One parabola opens down and the other opens up. They share the same vertex in quadrant 2.
2
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Which equation is part of solving the system by substitution?
A
4(y + 11)2 – 3y2 = 8B
4(11 – y)2 – 3y2 = 8C
4(y – 11)2 – 3y2 = 8D
4(–11y)2 – 3y2 = 83
What are the solutions of the following system?
A
and
B
and
C
(6, 312) and (–6, 312)D
(6, 312) and (–6, –264)4
What are the solutions to the following system?
A
(0, 2)B
(1, –2)C
and
D
and
5
Which system is equivalent to ?
A
StartLayout Enlarged left-brace 1st row y = negative 2 y squared minus 2 2nd row x = y minus 2 EndLayout
B
StartLayout Enlarged left-brace 1st row y = negative 2 y squared + 2 2nd row x = y + 2 EndLayout
C
StartLayout Enlarged left-brace 1st row y = negative 2 y squared minus 8 y minus 8 2nd row x = y + 2 EndLayout
D
StartLayout Enlarged left-brace 1st row y = negative 2 y squared + 8 y minus 8 2nd row x = y minus 2 EndLayout
6
What are the solutions of the following system?
A
(0, –5) and (–5, 5)B
(0, –5) and (5, –15)C
(0, –5) and (–4, 3)D
(0, –5) and (4, –13)7
The vertex of a parabola is in the first quadrant of a coordinate grid. A line with a negative slope passes through the origin. If the parabola and line intersect at the origin, which statement must be true?
A
The parabola opens downward.B
The parabola opens upward.C
The slope of the line is equal to –1.D
The slope of the line is not equal to –1.Did you find these answers helpful?
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