Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
The property of real numbers illustrated by the equation 16(3t+4v)=48t+ 64v.
Therefore, the answer is: Distributive property.
As you can see, you have the equation 16(3t+4v), and when you apply the Distributive property, you obtain:
16(3t+4v)
(16)(3t)+(16)(4v)
48t+64v
Answer:
c=4
Step-by-step explanation:
-5c - 15 = -35
Add 15 to each side
-5c - 15+15 = -35+15
-5c = -20
Divide each side by -5
-5c/-5 = -20/-5
c = 4
Answer:
Your loan was for $16,000.
Step-by-step explanation:
The formula for simple interest is i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
If i = prt, then p = i / (rt)
Here, p = ($1200) / 0.075 = $16,000
Your loan was for $16,000.
<u>Answer:</u>
The correct answer option is: Each x value has one and only one y value.
<u>Step-by-step explanation:</u>
A relationship from a set of inputs to a set of outputs where each input has exactly one corresponding output value is said to be a function.
Here, we are given 
which happens to be a function as no x value is repeated and there is only one corresponding y value to it.
Therefore, option c is the correct answer.
