Answer: x<16
Step-by-step explanation: Mason subtracted 5 from 11 and got 6, when he really should have added 5 to 11 to get x<16.
5x - 14y = 22 ⇒ 5x - 14y = 22
-6x + 7y = 3 ⇒ <u>12x - 14y = -6</u>
<u>-7x</u> = <u>28</u>
-7 -7
x = -4
5x - 14y = 22
5(-4) - 14y = 22
-20 - 14y = 22
<u>+ 20 + 20</u>
<u>-14y</u> = <u>42</u>
-14 -14
y = -3
(x, y) = (-4, -3)
Answer:
3/11
Step-by-step explanation:
Answer:
3.
..2330
Step-by-step explanation:
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
