Well first you have to simplify the denominators with x, by multiplying the denominator on the left times the top and bottom of the middle, and vice versa to get 10x/(4x^2-4x)-9(2x-2)/(4x^2-4x)=-1/4 and then you combine the fractions on the left to get 2(9-4x)/(4x^2-4x)=-1/4 and then you cross multiply the fractions to get 8(9-4x)=-4x^2+4x and then simplify to get 72-32x=-4x^2+4x and then 4x^2-36x+72=0 which then we can turn into 4(x-6)(x-3)=0 so x is 6 and 3
Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)
Answer:
The picture with the widest graph in red
Step-by-step explanation:
The graph P(x) is the parent graph for all quadratic functions. It has a vertex of (0,0) and has the following points:
x f(x)
-2 4
-1 1
0 0
1 1
2 4
The image of l(x) = P(1/3x) changes the points of the function to
x f(x)
-2/3 4/9
-1/3 1/9
0 0
1/3 1/9
2/3 4/9
This makes the graph much wider. The graph with the widest red graph is the graph.
