Functions
f(x) = - 2 x 2 + 6 x - 3
f(-2) = -23
z + 5 ≥ 3
z ≥ -2
-3 + 2x = 11
x = 7
Factor 4x2 + 12x + 5.
(2x + 5)(2x + 1)
y + 4x = 8
5x + 2y = 13
(x, y) = (1, 4)
h(x) = 3 x 2 - 7 x - 5
= 3 x 2 - 19 x + 7
4(x – 1) < 3(x + 1)
x < 7
4x + 6 = -10
x = -4
Factor 18x2 - 39x + 20
(3x - 4)(6x - 5)
2x + 2y = 6
12 = 2y - x
(x, y) = (- 2, 5)
S = $33,113 + $600t
What is the minimum number of years an employee would have to stay to make a salary of over $40,000 per year?
2x + 3 ≤ x
x ≤ -3
x + 9 = 18 - 2x
x = 3
Factor 6x2 - 19x - 7
(2x - 7)(3x + 1)
4y + 2x = 5
x = 8 - 2y
No solutions. The system is inconsistent.
A function has y-intercept of -2 and a slope of -6/5. What equation describes the equation?
y = -6/5x - 2
5(x + 2) – 3x ≤ 4 + 2x + 3(x – 1)
3 ≤ x
2x + 6 = 4x - 2
x = 4
Factor 10x2 + x - 2
(5x - 2)(2x + 1)
2x + 9y = 0
3x + 5y = 17
(x, y) = (9, - 2)
k(x)=6x+100
k(−5)
k(-5)=70
7y + 2 ≤ 65.
9 ≤ y
-x - 1 = 221 + 2x
x = -74
Factor 6x2 - 16x + 10
2(x - 1)(3x - 5)
10x + 7y = 49
10y - x = 70
(x, y) = (0, 7)