Answer:
Vertex is (-8, 4) not one of the answers offered!
Step-by-step explanation:
Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.

Complete the square by squaring half the coefficient of <em>x </em>and adding it in the space.

Add 64 in the space you made, then compensate for that at the end of the expression by <u>subtracting</u> 

The x-coordinate of the vertex is the <u>opposite</u> of +8, the number inside the parentheses. The y-coordinate of the vertex is the number at the end of the expression.
V(-8, 4)
Sorry that is wrong, you distribute the 2 to the h and the 8 so it would be 2h-16-h. that would be h-16 on the left side,
Answer:
81
Step-by-step explanation:
The term "of" can be translated to multiplication in problems like this.
So it's essentially saying multiply 45% to 180 and give me the result.
45% can be written as 45/100 in fractions (45 percent, where cent means 100 and per means division). 45/100 can be written as 0.45 in decimal form.
Now the problem reads 0.45 X 180. Using a calculator, we can solve this and the result comes out to be 81
How many males and how many females would there be if the total enrollment is 15000?
Ratio is
90 males 15000 - x
------------- = ---------------
125 fem x
Then 90x = 1875000 - 125x, or 215x = 1875000
x = approx 8720 females
and 15000-8720, or 6279 males
If every male finds a dance partner, that would leave (8720-6279) females, or 2440, without dance partners. ;(
Check: is the male:female ratio near 90:125?
Is 6279:8720 approx equal to 90:125?
Yes. 0.72 (approx) = 0.72 (approx).
Answer:
3.462
Step-by-step explanation: