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:
5.66 inches
Step-by-step explanation:
a² + 7² = 9²
a² + 49 = 81
a² + 49 - 49 = 81 - 49
a² = 32
a = square root of 32
a = 5.6568 or 5.66 inches
I used the Pythagorean Theorem to solve this.
Answer:
Step-by-step explanation:
Simplify.
The equation is y=-5x + 20, x being the hours that go by after 5pm.
Answer:
May: $23.25
Inez: $2325
Jo: $232.5
Step-by-step explanation:
Inez makes 100 times as much as May. Since May makes $23.25, move the decimal point two places to the right to multiply the number by 100. You will get $2325. Jo makes 1/10 of the money Inez makes. Pretend there is a decimal point at the end of 2325. Move the decimal point one place to the left to divide by 10. You will get $232.5.
