(3) The correct answer for the question that is being presented above is this one: "Third choice."
item 1 = 1 + 4 + 9 = 14
item 2 = 1 + 8 = 9
item 3 = 2 + 3 + 4 + 5 = 14
item 4 = 6 + 8 = 14
(4) The correct answer for the question that is being presented above is this one: "Second choice."
we can say that there are 15 male teachers for every 35 female teacher
![\stackrel{\textit{\large ratio 1}}{\cfrac{15}{35}\qquad \cfrac{male}{female}} ~\hspace{10em} \stackrel{\textit{\large ratio 2}}{\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{7}{~~\begin{matrix} 35 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{3}{7}\qquad \cfrac{male}{female}}](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5Clarge%20ratio%201%7D%7D%7B%5Ccfrac%7B15%7D%7B35%7D%5Cqquad%20%5Ccfrac%7Bmale%7D%7Bfemale%7D%7D%20~%5Chspace%7B10em%7D%20%5Cstackrel%7B%5Ctextit%7B%5Clarge%20ratio%202%7D%7D%7B%5Ccfrac%7B%5Cstackrel%7B3%7D%7B~~%5Cbegin%7Bmatrix%7D%2015%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B%5Cunderset%7B7%7D%7B~~%5Cbegin%7Bmatrix%7D%2035%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B7%7D%5Cqquad%20%5Ccfrac%7Bmale%7D%7Bfemale%7D%7D)
So the equation of the red graph is already given to us: 
. I assume you meant the blue graph?
We can use the vertex form: 
, where 
is the vertex. (We can ignore 
because is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).
The vertex for 
is at 
on the coordinate plane. (4 left, 2 down)
Plug into the vertex form:
The double negative becomes a positive, and then you're done:
Answer:
The answer is 32.
Step-by-step explanation:
Remember that order of operation is very important in this problem.
Substitute x for 3 and y for 2 in the equation.
When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.
