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
Answer:
58 dollars (0.20) + 58 dollars
Step-by-step explanation:
58 dollars (0.20) + 58 dollars
Answer:
65 hard-shells
26 soft shells
Step-by-step explanation:
5 x 13 = 65
2 x 13 = 26
65 - 26 = 39
Area=legnth times width
legnth=6
area=6x+18
subsitute
6x+18=6 times width
undistribute 6 from each term on left side
6(x+3)=6 times width
divide both sides by 6
x+3=width
Answer:
82
Step-by-step explanation:
