The answer is A.
If you are asked to find an equation parallel to the other, make sure the equations have the SAME SLOPE, DIFFERENT Y-INTERCEPT
The equation for
the standard form of parabola is given as:
y = A (x - h)^2 +
k
with (h, k) being
the (x, y) coordinates of the vertex
For the given
problem, we are given that (h, k) = (5, - 12).
We can then use point (0, 63) for x and y to solve for A
63 = A (0 - 5)^2 - 12
75 = A (25)
A = 75 / 25
A = 3
Equation of given
parabola:
y = 3 (x - 5)^2 - 12
We can now solve for the x –intercept:
Set y = 0, then solve for x
0 = 3 (x - 5)^2 -
12
3 (x - 5)^2 = 12
(x - 5)^2 = 4
Taking sqrt of
both sides
x - 5= ±2
x = -2 - 5 = -7
and x = 2 - 5 = - 3
x = -3, -7
Answer:
x-intercepts of given parabola: -3 and -7
(-3, 0) and (-7,
0)
Answer:
k=5
a= -5
Step-by-step explanation:
if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a
Solution
x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a
We have,
(4k-25+16-2k)x+[10-k(8-k)] = x+a
(2k+9)x + (10-8k+k^2)=x+a
2k-9=1
2k=1+9
2k=10
Divide both sides by 2
2k/2=10/2
k=5
And
10-8k+k^2=a
10-8(5)+(5^2)=a
10-40+25=a
-5=a
Therefore, a=-5
x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5
Yes, its proportional becuase when you divide each oatmeal bought and the amount you will end up with .75
