
The last line is in vertex form, and can see the vertex is located at (2,1).
Answer:
D: 11
Step-by-step explanation:
When I evaluated the expression, I got 11.
Hope it helps! :D
Answer: C. The functions will have the same input when y=0.
Step-by-step explanation:
Write the word problem in algebraic form:
n2 -14 = 5n
Write as a quadratic:
n2 - 5n - 14 = 0
Factor:
(n+2)(n-7) = 0
Solve:
n+2 = 0 => n = -2
n-7 = 0 => n = 7
positive solution is 7. (14 less than 72 = 35 which is also 5 times 7)
Answer:
x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z
Step-by-step explanation:
Solve for x:
2 sqrt(2) = 4^x
Hint: | Reverse the equality in 2 sqrt(2) = 4^x in order to isolate x to the left hand side.
2 sqrt(2) = 4^x is equivalent to 4^x = 2 sqrt(2):
4^x = 2 sqrt(2)
Hint: | Eliminate the exponential from the left hand side.
Take the logarithm base 4 of both sides:
Answer:x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z