Solving a System
What are the possible number of solutions a linear, quadratic systems could have?
zero, one or two
What is the solution in interval notation for the shown inequality?
Which of the following ordered pairs does NOT satisfy the inequality?
y > x2 + 2x - 5
(-3, -2) or (3, 9)
(3, 9)
800 people will attend a concert if tickets cost $20 each. Attendance will decrease by 30 people for each $1 increase in the price. The concert promoters need to make a minimum of $12 800. What quadratic inequality represents this situation?
(20 + x)(800 - 30x) >= 12 800
If a system of two quadratic functions has ONE solution, where is the solution?
The vertex: (p,q)
What is the inequality that represents the solution to the graph shown...
y < 2x - 6
Using the graph, P(x) > 0 when...
x > 2
Two integers have a difference of -30. When the larger integer is increased by 3 and added to the square of the smaller integer, the result is 189. Determine the two integers.
(-13, 17) and (12, 42)
Solve the system:
y= -6x + 9
y= -8x2 - 9x + 9
(0, 9) and (-3/8, 45/4)
0 < (x-3)(x+2)
Open dots, critical points 3 and -2
x < -2 or x > 3
If the line y = kx + 3 is tangent to the parabola y = x2 + 11, then the values of 'k' are ________ and ________.
Leave your answers as exact values.
k = 4 root 2
k = negative 4 root 2
What is the solution set to the inequality:
-3x2 < -9x + 6
x < 1 or x > 2
Solve:
y = (x - 2)2
2x2 - 6 = x - y
(2, 0) and (-1/3, 49/9)
What is the solution to the inequality:
2x2 + 9x - 5 < 0
-5 < x < 1/2