Answer is B. 2/sqrt{6} ..
When dividing exponents with the same base, you subtract the powers. -3 - (-8) = 5. The expression should be equal to 4^5. Looking at the expressions, A and D match up.
Answer:
C.
f(x) = 8*(x - 1)²
f(x) = 8x² - 16x + 8
Step-by-step explanation:
vertex form:
f(x) = a*(x - h)² + k
where (h, k) is the vertex of the parabola
In this case, the vertex of the parabola is at (1, 0). Replacing this information into the equation we get:
f(x) = a*(x - 1)²
The parabola passes through point (2, 8). Replacing this information into the previous equation we get:
8 = a*(2 - 1)²
8 = a
Then, the final equation is:
f(x) = 8*(x - 1)²
Expanding the quadratic term and applying distributive property:
f(x) = 8*(x² - 2x + 1)
f(x) = 8x² - 16x + 8
Answer:
Last year we had M students.
This year we have N students.
Now, the question ask "by what percentage the number of students grow".
So we are considerating a growth, this means that we must think that M as the 100%.
Then we have that N - M is the difference between the students of last year and this year.
this means that this year we have N - M more students that last year, so the percentage of growth is:
((N - M)/M)*100%
Now you need to replace the values for N and M.
You also can notice that if N is smaller than M, you will have a negative percentage, this means that instead of a growth, we have a decrease in the number of students.