Answer:
290
Answer: The 50th term of the sequence is 290.
For this case we have the following functions:
f (x) = 36 + 4x
g (x) = x2 + 15
By matching both functions we have:
f (x) = g (x)
36 + 4x = x2 + 15
Rewriting we have:
x2 + 15 - 4x - 36 = 0
x2 - 4x - 21 = 0
Solving the polynomial we have:
(x-7) (x + 3) = 0
x = -3
x = 7
Taking the positive root we have:
x = 7
Answer:
They will have the same amount of money saved after:
x = 7 weeks
Add the balance and allotment:
22.90 + 50.00 = 72.90
This is how much she can actually spend.
She spent 85.50.
Subtract the two:
85.50 - 72.90 = 12.60
Since she spent more than she actually could be balance would be a negative number.
The balance would be - $12.60
1/2 of 40 is 20, and the question says 1/4 of the REMAINING cookies, and 1/4 of 20 is 5. There are 3/4 left, or 15 cookies. I hope this helps!
Answer:
Option C
Step-by-step explanation:

![\sf log_w \ \dfrac{(x^{2}-6)^4}{\sqrt[3]{x^2+8} }=log_w \ (x^2-6)^4 - log_w(x^2+8)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csf%20log_w%20%5C%20%5Cdfrac%7B%28x%5E%7B2%7D-6%29%5E4%7D%7B%5Csqrt%5B3%5D%7Bx%5E2%2B8%7D%20%7D%3Dlog_w%20%5C%20%28x%5E2-6%29%5E4%20-%20log_w%28x%5E2%2B8%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
