Beth does not charge a registration fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Tonya’s dog-walking service charges a registration fee of $20, plus $3 per mile that each dog is walked. Write and solve an equation to find the number of miles m for which Tonya and Beth would charge the same amount.

10 miles.

Step-by-step explanation:

Let m the number of miles that each dog is walked.

It is given that Beth does not charge a registration fee for her dog-walking service, but she charges $5 per mile that each dog is walked.

Amount charged by Beth = 5m

Tonya’s dog-walking service charges a registration fee of $20, plus $3 per mile that each dog is walked.

Amount charged by Tonya = 20+3m

We need to find the number of miles m for which Tonya and Beth would charge the same amount.

Divide both sides by 2.

Therefore, for 10 miles Tonya and Beth would charge the same amount.

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.