Answer:
The vertex would be D) (-2, -32)
Step-by-step explanation:
To find the vertex , start by find the x-value. For this we can use the equation below.
x = -b/2a
In which a is the coefficient of x^2 and b is the coefficient of x.
x = -b/2a
x = -(8)/2(2)
x = -8/4
x = -2
Now that we have x, we find y by plugging -2 in for each x.
y = 2x^2 + 8x - 24
y = 2(-2)^2 + 8(-2) - 24
y = 2(4) - 16 - 24
y = 8 - 16 - 24
y = -32
Number of books each of them have:
Jaime: x
Grant: x - 6
Ky: 3 (x - 6)
There are 176 books in total, so we can write it down as:
176 = x + x - 6 + 3 (x - 6)
176 = x + x - 6 + 3 * x + 3 * (-6)
176 = x + x - 6 + 3x - 18
176 = 2x - 6 + 3x - 18
176 = 5x - 24 / + 24 (both sides)
5x = 200 / ÷ 5 (both sides)
x = 40
Doublecheck:
Jamie: 40
Grant: 40 - 6 = 34
Ky: 3 (40 - 6) = 3 * 34 = 102
102 + 34 + 40 = 176, so it's correct :)
Answer:
x1 = 6 + 2√6 or x2 = 6 - 2√6
Step-by-step explanation:
x² - 12x + 12 = 0
We need to use formula:
a² - 2ab + b² = (a - b)².
x² - 12x = - 12
x² - 2*6x + 6²- 6² = - 12
(x - 6)² - 36 = -12
(x - 6)² = - 12 + 36
(x -6)² = 24
(x - 6) = √24 or (x-6) = -√24
(x - 6) = 2√6 or (x-6) = - 2√6
x = 6 + 2√6 or x = 6 - 2√6
6x+9=3x+12
6x-3x=12-9
3x=3
X= 3
I hope this helps :)!
