Answer:
(x - 2)² - 30
Step-by-step explanation:
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
f(x) = x² + 2(- 2)x + 4 - 4 - 26 = (x - 2)² - 30
Answer:
14 gel pens/minute
Step-by-step explanation:
divide the amount by time.
210/15 = 14
Y = (x + 3)² - 2
you get this by... uh, moving the vertex of the parabola three to the left (+3) and down two (-2)...
Answer:
Step-by-step explanation:
Linear pairs
(4x + 1) + 75 = 180
Add the like terms
4x + 76 = 180
Subtract 76 from both sides,
4x = 180- 76
4x = 104
Divide both sides by 4
x = 104/4
x = 26
Answer:
x=-7
Step-by-step explanation:
Simplifying
3(x + -2) = 5x + 8
Reorder the terms:
3(-2 + x) = 5x + 8
(-2 * 3 + x * 3) = 5x + 8
(-6 + 3x) = 5x + 8
Reorder the terms:
-6 + 3x = 8 + 5x
Solving
-6 + 3x = 8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-6 + 3x + -5x = 8 + 5x + -5x
Combine like terms: 3x + -5x = -2x
-6 + -2x = 8 + 5x + -5x
Combine like terms: 5x + -5x = 0
-6 + -2x = 8 + 0
-6 + -2x = 8
Add '6' to each side of the equation.
-6 + 6 + -2x = 8 + 6
Combine like terms: -6 + 6 = 0
0 + -2x = 8 + 6
-2x = 8 + 6
Combine like terms: 8 + 6 = 14
-2x = 14
Divide each side by '-2'.
x = -7
Simplifying
x = -7