The gradient is 2.
You divide the increase in y (2) by the increase in x (1)
The unit rate would be number of miles per hour ( 1 hour).
Divide the total number of miles by the total number of hours:
100 miles / 4 hours = 25 miles per hour.
The unit rate is 25 miles.
Answer:
1. x=3 x=1
2. x=0
Step-by-step explanation:
We want f(x) to equal g(x)
f(x)=g(x)
1/(x-2) = (x-2)
Using cross products
1 = (x-2) * (x-2)
1 = x^2 -2x-2x+4
Subtract 1 from each side
1-1 = ^2 -2x-2x+4-1
0 = x^2 -4x+3
Factoring
What number multiplies to 3 and adds to -4
-3*-1 = 3
-3+-1 = -4
0= (x-3) (x-1)
Using the zero product property
x-3 =0 x-1=0
x=3 x=1
2. f(x)=x^2+4x+2
g(x)=(1/2)^ x+1
From the graph,we can see they intersect at x=0
If you plug in some values for x, you can graph it on the plane.
When x = 0.

When x = 1

When x = 4


Now plot the points and draw a graph through the points.
So, the last option is the answer.
(8y - 3) - (10y - 8) # Add or subtract like terms
-2y + 5
Hope this helps!