Answer:
Step-by-step explanation:
Given the rational expression: 
, to express this in simplified form, we would need to apply the concept of partial fraction.
Step 1: factorise the denominator
Thus, we now have: 
Step 2: Apply the concept of Partial Fraction
Let,
= 
Multiply both sides by (x - 1)(x - 4)
= 
Step 3:
Substituting x = 4 in
Substituting x = 1 in
Step 4: Plug in the values of A and B into the original equation in step 2
Substitute the numbers for the variables
4+(-2)(4/5)
easier if you turn 4/5 into a decimal
4+(-2)(0.8)
multiply -2 and 0.8
4+(-1.6)
add
4-1.6
answer is 2.4
Answer:
1. 3x-2y=-6
2. 3x+2y=6
Step-by-step explanation:
The function you're given is in point-slope format, which is one of the easiest ones to graph. The basic form of the format is;
y=ax+b
Where a is the slope and b is the y-intercept.
As you can see, in y=-13+3x, the positions of a and b are switched, but it is essentially the same question.
From here we can tell that the y-intercept is -13, meaning that there is a point on the line that rests at (0,-13)
To find the other points, we can do rise-over-run using the slope of 3 given to us. What happens here is that for every 1 unit you go to the right (positive), you rise 3 units up.
For example, if we perform this on the y-intercept (0,-13):
(0+1, -13+3)
(1,-10)
With these two points, you can graph the line representing the temperature.
Each friend would have taken a total of 35 rides each.
This can be verified by multiplying 35 by 35 to get 1225.
