Answer:
Step-by-step explanation:
This is not an example for using a quadratic formula.
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
Answer:
Step-by-step explanation:it B
Answer:
It increased by 12°F between the noon and evening
Step-by-step explanation:
Answer: 24
Step-by-step explanation:
Since we are given the information that
Shop Shawn used: y=10+3.5x while Shop Dorian used: y=6x.
To solve the question asked, we need to equate both equations together and this will be:
10 + 3.5x = 6x
6x - 3.5x = 10
2.5x = 10
x = 10/2.5
x = 4
Therefore, we can put the value of x into any of the equation to get y. This will be:
y = 6x
y = 6 × 4
y = 24
The amount paid for the rentals is 24