Answer: 
Step-by-step explanation:
The quadratic equation in its standard form is:
Now, we are given 5 points of the parabola (if you graph a quadratic equation you will have a parabola), however we only need to choose three points to find the coeficients 
, 
and 
in the quadratic equation.
So, let's choose the first three points:
(-1,14):
(1)
(0,7):
(2)
(1,4):
(3)
Substituting (2) in (1) and (3):
(4)
(5)
At this point we have a system with two equations.
Adding (4) to (5):
(6)
Isolating :
(7)
Substituitng (7) in (3):
(8)
Isolating :
(9)
Now we have the three coeficients and we can write the quadratic equation:
Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
Answer:
40
Step-by-step explanation:
<h3>6×40⇒240</h3>
Answer:
9 units
Step-by-step explanation:
You can use the distance formula, or you could recognize that since both points have the same x-coordinate, they lie on a vertical line, so the distance between them would be the absolute value of 0 and -9, which is 9.
Hope this helped! :) (Srry I was a little late)
