Answer:
Step-by-step explanation:
Answer:
y = -2x^2(x - 3)
Step-by-step explanation:
<em><u>Preliminary Remark</u></em>
If a cubic is tangent to the x axis at 0,0
Then the equation must be related to y = a*x^2(x - h)
<em><u>(3,0)</u></em>
If the cubic goes through the point (3,0), then the equation will become
0 = a*3^2(3 - h)
0 = 9a (3 - h)
0 = 27a - 9ah
from which h = 3
<em><u>From the second point, we get</u></em>
4 = ax^2(x - 3)
4 = a(1)^2(1 - 3)
4 = a(-2)
a = 4 / - 2
a = -2
<em><u>Answer</u></em>
y = -2x^2(x - 3)
Answer:
C. (2, 5)
Step-by-step explanation:
Looking at the answer choices, you can see that solving for y will tell you which choice is correct. We can eliminate x from the equations by adding 4 times the second equation to the first:
(8x -3y) +4(-2x +3y) = (1) +4(11) . . . . . adding the equations to eliminate x
9y = 45 . . . simplified; next we divide by 9
y = 5 . . . . . matches choice C
_____
Check
8(2) -3(5) = 16 -15 = 1
-2(2) +3(5) = -4 +15 = 11 . . . . the answer checks OK in both equations
Y=2/3x -5/2
Slope is equal to the parallel line (2/3)
Find y intercept by setting y and x equal the given coordinates and solve.
