Answer:
![3(x - 7)(x+7)](https://tex.z-dn.net/?f=3%28x%20-%207%29%28x%2B7%29)
Step-by-step explanation:
To factor this, you must first take out the GCF (Greatest Common Factor), that
and -147 both have. The terms only have 3 in common, which can be divided with
![3x^2 - 147\\3(x^2 - 49)](https://tex.z-dn.net/?f=3x%5E2%20-%20147%5C%5C3%28x%5E2%20-%2049%29)
However, we're still not done since 49 is a perfect square and
can be split into 2, like so:
![3(x - 7)(x+7)](https://tex.z-dn.net/?f=3%28x%20-%207%29%28x%2B7%29)
If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.
Answer:
When using formulas in application, or memorizing them for tests, it is helpful to note the similarities and differences in the formulas so you don’t mix them up. Compare the formulas for savings annuities vs payout annuities.
Savings Annuity Payout Annuity
P
N
=
d
(
(
1
+
r
k
)
N
k
−
1
)
(
r
k
)
P
0
=
d
(
1
−
(
1
+
r
k
)
−
N
k
)
(
r
k
)
PAYOUT ANNUITY FORMULA
P
0
=
d
(
1
−
(
1
+
r
k
)
−
N
k
)
(
r
k
)
P0 is the balance in the account at the beginning (starting amount, or principal).
d is the regular withdrawal (the amount you take out each year, each month, etc.)
r is the annual interest rate (in decimal form. Example: 5% = 0.05)
k is the number of compounding periods in one year.
N is the number of years we plan to take withdrawals
1/8 + 1/4
the least common multiple of 8 and 4 is 8. Convert 1/8 and 1/4 to fractions with denominator 8.
1/8 + 2/8
Because 1/8 and 2/8 have the same denominator, add them by adding their numerators.
1+2/8
add 1 and 2 to get 3
3/8 or 0.375
The expression represents 0.30 times y, but I do not know the value of y.