Answer:
f(x) = 4(x + 6)² – 134
Step-by-step explanation:
To write an equation in vertex form, we first factor out the GCF of the first two terms. For 4x² and 48x, this is 4:
f(x) = 4(x²+12x)+10
Next we complete the square. The value of b inside parentheses is 12; we take half of that and square it:
(12/2)² = 6² = 36
We add this inside parentheses. However in order to preserve equality, we must subtract this value as well. Since the terms inside parentheses are being multiplied by 4, we multiply the 36 we subtract by 4 as well:
f(x) = 4(x²+12x+36)-4(36)+10
Simplifying, we have
f(x) = 4(x²+12x+36)-144+10
Combining like terms,
f(x) = 4(x²+12x+36)-134
Next we write the trinomial in parentheses as a perfect square:
f(x) = 4(x+6)²-134
X+7=-8
You are trying to get x on its own so you will subtract 7 from both sides.
x+7-7=-8-7
This simplifies to x= -8-7
A negative plus a negative equals a negative. So -8-7 equals -15
Your final answer is x=-15
/50 = /25•2
/25 • /2 further written as
5 • /2 simplified form
so A
Answer:
A
Step-by-step explanation:
All other options are more biased
In B, the official wants to use 50 people from a library to represent the <u>entire town's</u> opinion on the library itself.... that's biased.
In C, it's the same. Of course basketball players would like to watch basketball.... right?? That's why the choice is biased.
In D, the location is a deli.... and from experience people order meat at a deli... cuz why else go there?
