mathematics hw

I have easy mathematics questions which can be solved in less than 30 min, and I need it in 4 hours.

 1-Write equations for the vertical and horizontal  lines passing through the point  7,   4  .         2-  The Sugar Sweet Company is going to transport its sugar to market. It will cost   \$ 5000  to rent trucks, and it will cost an additional  \$ 200  for each ton of sugar transported.   Let  C  represent the total cost (in dollars), and let  S  represent the amount of sugar (in tons) transported. Write an  equation relating  C  to  S  .       3-  Brian is driving to Dallas. Suppose that the remaining distance to drive (in miles) is a linear function   of his driving time (in minutes). When graphed, the function gives a   line   with a   slope   of     − 0.85  . See the figure below. Brian has  68  miles remaining after  45  minutes of driving. How many miles will be remaining after  65  minutes of driving?

4- Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying

14

gallons of fuel, the airplane weighs

2177

pounds. When carrying

40

gallons of fuel, it weighs

2320

pounds. How much does the airplane weigh if it is carrying

58

gallons of fuel?

5- Graph the
set

<

x

|

2
<
x
3

on the number line.

Then, write the set using
interval notation.

6-
Suppose that the
function

g

is defined , for all real numbers, as follows.

 = g x − 1 < if   x − 2 − + x 1 2 3 ≤ − if   2 < x 1 − − 1 2 x 1 ≥ if   x 1

Find the following.

g(-1)=
g(1)=
g(5)=