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: 110 degrees
Angle measurements are preserved when translations happen. Shifting a figure will not change the angle. So because angle A = 110 degrees, this means angle A' = 110 degrees as well.
Yes
For f(x) to represent a function each value of x from the domain must only map to one unique value in the range, called one-to-one
This is the case here as each value of x maps to one unique value in the range
domain x ∈ {- 5, - 4, 0, 3 }
range y ∈ {0, 2, 10, 16 }
Answer:
Step-by-step explanation:
(-6,7) & m = -2
point slope form of line : y - y₁ = m (x-x₁)
y - 7 = (-2) (x - [-6] )
y - 7 = (-2) (x + 6)
y - 7 = -2x - 2 * 6
y - 7 = -2x - 12
2x + y = -12 +7
2x + y = -5 0r y = -2x - 5
Answer:
x = -6; v = 4.
Step-by-step explanation:
–14 = –(-2x + 2)
-14 = 2x - 2
2x - 2 = -14
2x = -12
x = -6.
51 = 7(-1 + 2v) + 2
51 = -7 + 14v + 2
51 = 14v - 5
14v = 56
v = 4.
Hope this helps!