Question

Mulitiply. Simplify your answer.

1. 3r^2t/6st^3 x 2r^2s^3t^2/8r^4s^2

Add or subtract. Simplify your answer.

2. x^2 + x/x^2 + 3x + 2 + 3/x + 2

3. The Escobar family went on a car trip. They drove 100 miles on country roads and 240 miles on the highway. They drove 50% faster on the highway than on the country roads. Let r represent their rate on country roads in miles per hour.

a. Write and simplify an expression that represents the number of hours it took the Escobar family to complete their trip in terms of r.

b. Find their total travel time if they drove the posted speed limit.

Answer 1

Please!

Answer 2

by now these should be getting easier. When multiplying/dividing powers, add/subtract the exponents.

3r^2t/6st^3 x 2r^2s^3t^2/8r^4s^2
= (3*2)/(6*8) r^(2+2-4) s^(-1+3-2) t^(-3+1+2)
= 1/8

You gotta start using parentheses...

x^2 + x/x^2 + 3x + 2 + 3/x + 2
= (x^2+x)/(x^2+3x+2) + 3/(x+2)
= x(x+1) / (x+2)(x+1) + 3/(x+2)
= x/(x+2) + 3/(x+2)
= (x+3)/(x+2)

Since time = distance/speed,

h = 100/r + 240/(1.5r)
Now you have to know what the posted speed limits were.

Answer 3

A jogger on a treadmill is jogging at 5 miles per hour. Which of the following is the time it will take him to job 1 mile?

Answer 4

The posted speed limit is 40mph.