Answer:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
Step-by-step explanation:
This is a quadratic equation, with coefficients 3, -5 and 1.
The discriminant, b² - 4ac, turns out to be (-5)² - 4(3)(1), or 25 - 12 = 13
Thus, the roots are:
-(-5) ± √13 5 ± √13
x = ----------------------- = ---------------
2(3) 6
One variable is the amount of time it takes her to make a plate. The other variable is the amount of time it takes her to make a cup.
1. Graph using y = mx + b
a) y = 3x - 4 (m = 3, b = -4)
b) y = x + 1 (m = 1, b = 1)
c) y = -2x + 2 (m = -2, b = 2)
d) y = -x - 3 (m = -1, b = -3)
2. Graph using x- and y-intercepts
a) 2x + 3y = 6 (x-intercept is 3, y-intercept is 2)
b) x - 2y = -8 (x-intercept is -8, y-intercept is 4)
c) -3x + y = -3 (x-intercept is 1, y-intercept is -3)
d) -4x - 2y = 6 (x-intercept is -3/2, y-intercept is -3)
3. Graph using a table
a) y = 2x -1
(Make a table using values -1, 0, and 1 in the "x" column. The values in the "y" column will be -3, -1, and 1)
b) 2x + y = 4
(Make a table using values 0, 1, and 2 in the "x" column. The values in the "y" column will be 4, 2, 0)
