Answer:
x = -1
Step-by-step explanation:
3^x = 1/3
3^x= 3^-1
x=-1
Answer:
x=-4/9, y=10/3. (-4/9, 10/3).
Step-by-step explanation:
3x+4y=12
3x=2y-8
--------------
2y-8+4y=12
6y-8=12
6y=12+8
6y=20
y=20/6
simplify,
y=10/3
3x=2(10/3)-8
3x=20/3-8
3x=20/3-24/3
3x=-4/3
x=(-4/3)/3
x=(-4/3)(1/3)=-4/9
x=-4/9, y=10/3. (-4/9, 10/3).
Answer:
Step-by-step explanation:
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A) f(x) = x-2 because the points in the y axis are -2 from the origin and x goes first
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)
