Answer:
5/7
Step-by-step explanation:
Simplify the radical by breaking the radical up into a product of known factors.
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)
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Answer:
Increase of 8
Step-by-step explanation:
x = y-8
y=x+8
Answer:
The three consecutive even integers are 4,6,8
Step-by-step explanation:
Let the three consecutive even integers be 2x, 2x+2, 2x + 4
Middle number = 2x +2
2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6
6x + 6 = 4*2x + 4*2 - 6
6x + 6 = 8x + 8 -6
6x + 6 = 8x + 2
6x - 8x = 2 -6
-2x = -4
x = -4/-2
x = 2
The three consecutive even integers are
2x = 2*2 = 4
2x+2 = 2*2 +2 =4 + 2 = 6
2x + 4 = 2*2+4 = 4+4 = 8
