Answer:
In the graph we can find two points, lets select:
(2, 15) and (4, 30)
Those are the first two points.
Now, for two pairs (x1, y1) (x2, y2)
The slope of the linear equation y = s*x + b that passes trough those points is:
s = (y2 - y1)/(x2 - x1)
So the slope for our equation is
s = (30 - 15)/(4 - 2) = 15/2
then our linear equation is
y = (15/2)*x + b
now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)
15 = (15/2)*2 + b = 15 + b
b = 15 - 15 = 0
then our equation is:
y = (15/2)*x
Where we used a division and a multiplication.
When you foil it out you should get: 2x^5-2x^3-12x. When you factor it out completely you get: 2x(x^2-3)(x^2+2)
Answer:
x = 2.2
Step-by-step explanation:
Comment
f(x) = g(x) I don't think has any meaning for this question. I will just solve the equation.
Solution
7x - 12 = - 3x + 10 Add 3x to both sides
7x + 3x -12 = - 3x + 3x +10 Combine
10x - 12 = 10 Add 12 to both sides
10x -12 + 12 = 10 + 12 Combine
10x = 22 Divide by 10
10x/10 = 22/10
x = 2.2
Estimation would give you an answer close to the actual answer so you can see if your answer is reasonable depending on how close the estimate is