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:
d
Step-by-step explanation:
<33
Answer:
7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.
Step-by-step explanation:
- Let the number of tomatoes=t
- Let the number of cucumber planted=c
- Let the number of zucchini planted=z
- Total Number of Plants=43
She planted twice as many cucumbers as zucchini, this is written as:
She also planted eight more tomatoes than cucumbers, this is written as:
In total, she planted 43 plants
Therefore:
z+(2z)+(2z+8)=43
5z+8=43
5z=43-8
5z=35
Divide both sides by 5
z=7
Number of Cucumbers, c=2z=2 X 7 =14
Number of Tomatoes, t=c+8=14+8=22
Therefore, she planted 7 Zuchini, 14 Cucumbers and 22 Tomatoes plants.
Answer:
Step-by-step explanation:
x²=1.96
x²-1.96=0
(x+1.4)(x-1.4)=0
x=1.4 and -1.4
