1. Which of the following is an example of a system of equations consisting of a linear and a quadratic equation?(1 point)
A. {y=2x^2=0
y=x^2-6x+3
B. {y-10=3x
y-18=5x^-6x
C. {y=2x+1
5x+y+2x=6
D. 3x+5x=2
6 squerd x+y=1
2. Given the graph of a system consisting of a linear and a quadratic equation, if the line is tangent to the original quadratic, how many solutions does the system have?
A. 2 solutions
B. 1 solution
C. 0 solutions
D. infinitely many solutions
3. How does the number of solutions in a linear system compare to a system with a linear and a quadratic equation?(1 point)
A. Both can have 0, 1, or infinite solutions.
B. Both can have 0, 1, or 2 solutions.
C. A linear system can have 0, 1, or infinite solutions. A linear-quadratic system can have 0, 1, or 2 solutions.
D. A linear system can have 0, 1, or 2 solutions. A linear-quadratic system can have 0, 1, or infinite solutions .
4. How does the number of solutions in a linear system compare to a system with a linear and a quadratic equation?(1 point)
A. (1,2)
B. There are no solutions
C. (0,1)
D. (-1,-2)
E. (0,2)
5. Determine the solution(s) to the linear-quadratic system of equations below.
{3x−y=3y
y=x^2+6x−7
A. (10,153)
B. (1,0)
C. (-4,-15)
D. (-1,-12)
E. (4,33)
F. (-10,33)
1 answer
2. The correct answer is B. 1 solution
3. The correct answer is C. A linear system can have 0, 1, or infinite solutions. A linear-quadratic system can have 0, 1, or 2 solutions.
4. The question appears to be repeated. The answer choices do not relate to the question.
5. The correct answer is C. (-4, -15)