Answer:
$1017.19
Step-by-step explanation:
First find the fraction of how much of Paulo's money is spent on his rent and car. Add 1/4 and 1/8, which is 3/8 because 1/4 = 2/8. Then multiply 3/8 by Paulo's monthly spending, which is $2712.50. Multiplying those numbers will get you $1017.1875. which you have to round up to $1017.19 because you can't spend three quarters of a cent.
Answer:
66
Step-by-step explanation:
multiply everything together
80.75 / 8.50 = 9.5
Sean worked 9 and a half hours.
Quadratic equation is

WHEN

So, to make this true subtract 7 from each side.
The equation is now
7

- x - 7 = 0
Values for a, b, and c: a = 7, b = -1, c = -7
Plug these variables into the quadratic equation.
Square -1 to get 1 and multiply -4 x 7 x -7 to get 196.

Multiply 2 x -7 to get -14, the denominator, and add 1 to 196.
Since 197 is not a square number, and I don't know if you want to leave it in radical form or not, I will just because it's easier to understand.
Hope this helps!
Answer:
Step-by-step explanation:
let the eq. of circle be x²+y²+2gx+2fy+c=0 ...(1)
∵ it passes through (-1,2),(4,2),(-3,4)
∴ (-1)²+2²-2g+4f+c=0
-2g+4f+c=-5 ...(2)
4²+2²+8g+4f+c=0
8g+4f+c=-20 ...(3)
(-3)²+4²-6g+8f+c=0
-6g+8f+c=-25 ...(4)
(3)-(2) gives
10 g=15
2g=3
g=3/2
(3)-(4) gives
14 g-4f=5
14×(3/2)-4f=5
-4f=5-21=-16
f=4
from (2)
-2(3/2)+4×4+c=-5
-3+16+c=-5
c=-5-13
c=-18
so eq. of circle is
x²+y²+2(3/2)x+2(4)y-18=0
x²+y²+3x+8y-18=0