Find the intercepts of the parabola with
vertex (6,5) and y intercept (0,175),
Write your answer in this form (171), (2.2),
If necessary, round to the nearest hundredth,

If the equation is in the form

y+=+ax%5E2+%2B+bx+%2B+c , then the x component

of the vertex is at

and, plugging the point into general equation,

y+=+ax%5E2+%2B+bx+%2B+c

-5+=+a%2A6%5E2+%2B+b%2A6+%2B+c

(2) -5+=+36a+%2B+6b+%2B+c

The y-intercept is at (0,175), so plugging this into

general equation:

175+=+a%2A0%5E2+%2B+b%2A0+%2B+c

(3) 175+=+c

Now I have 3 equations and 3 unknowns, so it's solvable

From (1),

(1) 6+=+-%28b%2F2a%29

b+=+-12a

Plug this into (2)

(2) -5+=+36a+%2B+6b+%2B+c

(2) -5+=+36a+%2B+6%2A%28-12a%29+%2B+c

also, from(3),

(2) -5+=+36a+%2B+6%2A%28-12a%29+%2B+175

36a+-+72a+=+-175+-5

-36a+=+-180

a+=+5

and, since

b+=+-12a

b+=+-12%2A5

b+=+-60

Now I can write the actual equation

y+=+5x%5E2+-+60x+%2B+175

Set y+=+0 to find x-intercepts

Then divide through by 5

x%5E2+-+12x+%2B+35+=+0

I can see right away that it factors into

%28x+-+5%29%28x+-+7%29+=+0

x+=+5 and x+=+7 are the solutions

So, the x-intercepts are at (5,0) and (7,0)

Step-by-step explanation:

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation:

2,160 π

step-by-step explanation: