At 9 a. m., Jessica started riding on the Red Mountain Parkway at the 40-mile marker. At the same time, Kate started riding on the Red Mountain Parkway at the 10-mile
marker. Jessica rides her motorcycle at a rate of 30 miles per hour. Kate rides her
motorcycle at a rate of 40 miles per hour. If they are both riding in the same direction,
which graph shows the number of hours after 9 a. m. when Jessica and Kate will be in
the same position on the parkway?

See below

Step-by-step explanation:

Start time = 9 A.M.

Equation:

Equation:

Note. There is no graph but see the attached. It should be similar graph for this case

The will meet after 3 hours at 130 miles mark

Solving the system of equations we get:

And y is:

(3, 130) is the intersection of lines

Since it takes 3 hours for Jessica and Kate, it happens at 12 A.M.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions