Answer:
f(x) = - 4x² + 24x - 20
Step-by-step explanation:
Given
f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL
= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4
= - 4x² + 24x - 36 + 16 ← collect like terms
= - 4x² + 24x - 20
Here you need an adjective of the given word (Tech), so the answer is technical.
Answer:
She will be charged $180 once lets the account go past 6 months before making a payment.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this question:
If she pays within 6 months, she is not charged any interest.
However, if after 6 months she has not paid the balance, she is charged 20% interest for this period.
Barbara financed a new bedroom set at the furniture store for $1,800.
This means that 
20 percent interest
This means that 
How much interest will she be charged once she lets the account go past 6 months?
6 months is half a year, so this is E when 



She will be charged $180 once lets the account go past 6 months before making a payment.
Answer:
Statement: AB=CD, BC=AD
Reason: By definition of parallelogram .
Statement: AC=AC
Reason: Reflexive property of equality.
Step-by-step explanation:
1.Statement:
.
Reason: For parallel lines cut by a transversal , corresponding angles are congruent.
2.Statement:AB=CD,BC=AD
Reason: By definition of parallelogram.
3.Statement: AC=AC
Reason: Reflexive property of equality.
4.Statement:
.
Reason: SSS criterion for congruence.
5.Statement:
.
Reason: Given .
6.Statement:
.
Reason: By definition of parallelogram.
7.Statement:
.
Reason: Alternate Interior Angles Theorem.