Roger lives in Orlando but just started a new job in Tampa. Every Monday he drives his car 95 miles from Orlando to Tampa, spends the week in a company apartment, and then drives back to Orlando on Friday. He doesn't use his car for anything else. After 20 weeks of this, his odometer shows that he has travelled 84,000 miles since he bought the car. 1.) Write a linear model which gives the odometer reading of the car as a function of the number of weeks since Roger started the new job.
f(x) = __x+__

2.) If he plans to buy a new car when his odometer reaches 100,000 miles, about when will Roger buy his car?
a.) about 104 weeks
b.) about 168 weeks
c.) about 120 weeks
d.) about 12 weeks

What is the value of x? assume that the line is tangent to the circle.

The table below shows the approximate masses of a dust particle and a grain of pollen. dust particle 0.000000778 g grain of pollen 0.00000000155 g the mass of a dust particle can be estimated and written in the form a × 10^b, where a = 8 and b = the mass of a grain of pollen can be estimated and written in the form a × 10^b, where a = 2 and b = based on the estimates, the mass of a dust particle is approximately blank times larger than the mass of a grain of pollen.

More challenges: 1) factor out the indicated quantity.8mn² + 7mn - m : factor out the quantity -m2) factor the polynomial by grouping.2vw + 7cv + 14cw + 49c²3) factor completely using the difference of squares along with factoring by grouping.25v³ - 25v² - 4v + 44) factor the sum of cubes. 125x³ + 645) q³ + 27r³6) factor completely. use difference of squares.729p^6 - 6^67) solve the equation(7x + 4)(9x - 1) = 08) a. find the values of x for which f (x) = 0b. find f (0)f (x) = x² + 2x - 489) find the x and y-intercepts for the function defined by y = f (x)f (x) = (x + 3)(x + 4)(x - 1)²10) factor the trinomial completely by using any method. remember to look for a common factor first. 3v² - 2v - 16