Given:
To find:
The simplified rational expression by subtraction.
Solution:
Let us factor . It can be written as
.
using algebraic identity.
LCM of
Make the denominators same using LCM.
Multiply and divide the first term by (x + 1) to make the denominator same.
Now, denominators are same, you can subtract the fractions.
Expand .
Answer:
Step-by-step explanation:
This is a linear graph,
Let find the equation of the line
Equation of a line can be determine using
y = mx + c
Where m Is the slope of the graph and c is the intercept on y axis when x = 0
So,
Slope m can be calculated using
Let chose the two point on the x and y axis
P1 = (0,45) and , P2 = (18,0)
m = ∆y / ∆x = y2 - y1 / x2 - x1
m = 0 - 45 / 18 - 0
m = -45 / 18
m = -2.5
So, the intercept on the y axis when x = 0 is 45. Then, c = 45
So, the equation of the line becomes
y = -2.5x + 45
Multiply through by 2
2y = -5x + 90
Where
y is dollars on card, = output
x is the number of rides = input
A. So, we want to find the output when the input is 10, I.e when x = 10
Then,
y = -2.5x + 45
x = 10
y = -2.5 × 10 + 45
y = -25 + 45
y = 20
Then, the output is 20 dollars on card.
B. When the output is 5
I.e y = 5
Then,
y = -2.5x + 45
5 = -2.5x + 45
5-45 = -2.5x
-40 = -2.5x
x = -40 / -2.5
x = 16 rides
The input is 16 number of rides
C. Point P is (7,27.5)
This tells us that when the input is 7, I.e the number of rides is 7, then, the output is 27.5 I.e their are $27.5 dollars on card.
