Fist convert the equation to vertex form
y = 2(x^2 + 14x) - 8
y = 2 [(x + 7)^2 - 49] - 8
y = 2(x + 7)^2 - 106
So the vertex is at (-7,-106)
Answer:
34
Step-by-step explanation:
H(x) = 4x-2
H(-9) = 4(9)-2
H(-9) = 36 -2
H(-9) = 34
They would need to by 3 more tickets. 214 divided by 9 = 23 with the remainder of 3. So I divided 217 by 9 = 23. I added 3 to 214 which got a whole answer 23.
I hope I helped.
Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
<ADC = <BAD = 115
hope it helps
