ElectricPavlov

Largest integer = x      smallest    < 1/2x        

smallest integer is  x - 3 

x-3 <1/2x

-3 < -1/2 x

3> 1/2 x

6 > x      or x < 6     the GREATEST x would be 5     (edited)

At Y intercept x = 0  (right?)   put 0 in for x   6(0) + 8y = 24     y intercept = 3      0,3

At X intercept y= 0                  put 0 in for y to find x intercept  = ?                        ?,0

    Plot those two points and draw a line through both of them......done !      

1 qrt covers TWO x 9 x 10 = 180 sq ft

10ft x 12 ft   x 1qt/180ft^2 = 120/180 qt = 2/3 qt

This basically means, solve the system of equations for x and y....you CAN do it graphically

  or algebraically:

2x+3y=7         Multiply by -3 ==> -6x - 9y = -21

3x+4y= -8       Multiply by 2 ==>   6x + 8y = -16     See what I did there?  Now add the two equations together and the 'x' part disappears

                                                          -y = - 37    y = 37    now sub this value of y into oneof the equations to find the 'x' value and you're done.

First, lets see if the tiles fit evenly.....

  disregarding grout lines

2 feet x 5 feet   is   24 inches x 60 inches 

24 is a multiple of 3 and 4

60 is a multiple of 3 and 4

  so the tiles should fit evenly

     8 x 3 = 24    so 8 rows

     15 x 4 = 60  so 15 columns         15 x 8 =120 tiles

Check:  24 x 60 = 1440 sq inches

               120 tiles x 3x4 = 1440 sq inches    Check!

The line goes up '4' for every one x  means slope is 4    slope is rise /run    it rises  4  for 'run' of one   = 4

The equation of a line is

y=mx+b   where m is the slope  

In your example the slope is given as '4'

y = 4x +b     Now put in the point you were given   x,y   2, -3

-3 = 4(2)+b    and solve to find b = -11   for your question

the line equation becomes

y=4x-11

straight line depreciation.....   the same $ amount per year....  NOT a prcentage r exponential amount

(k-9)(k+9)

Gives = (108-18)x      Where x = number of weeks    

    She gives the same number away each week : (108-18)

      each subsequent week increases the total number she has given away....