3x-4y=10
or,4y=3x-10
or,y=(3x-10)/4
so,y=3/4 x-5/2
The correct answer is C. <span>f(x)=20(35)x</span>
Each curve completes one loop over the interval

. Find the intersections of the curves within this interval.

The region of interest has an area given by the double integral

equivalent to the single integral

which evaluates to

.
Complete Question
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.
Answer:
1/2m + 45
Step-by-step explanation:
We are told in the question that:
On the drive home, she buys $45 worth of gasoline.
Her friend Melody pays for one-half the cost of the car rental only.
Sophie pays m dollars to rent a car for the weekend.
The amount sophie pays for car rental = m - 1/2m
= 1/2m
Therefore, the expression used to determine how much sophie spent is written as:
1/2 × $m + $45
1/2m + 45