Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
Answer: $3.60
Step-by-step explanation:
Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
Answer:
5x^2 − 2x
Step-by-step explanation:
Let's simplify step-by-step.
=3x + 6x^2 + − 5x + − x^2
Combine Like Terms:
=3x + 6x^2 + − 5x + − x^2
=( 6x^2 + − x^2 ) + ( 3x + − 5x )
= 5x^2 + − 2x
Answer:
5x^2 − 2x
hope this helps!!
5.1x10^6 is the greatest because when u multiply it, it is 5 million
