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They were good!  (Burp!)

                        y  =  -2x + 16

Since  x = 6:    y  =  -2(6) + 16    =    -12 + 16    =    4

    (6, 4)

Get a common denominator:

     27  =  3x3x3

     18  =  2x3x3

     10  =  2x5

Lowest common denominator:  2x3x3x3x5  =  270

19/27:    since 27 goes into 270 10 times, multiply by 10/10  to get  190/270

5/18:      since 18 goes into 270 15 times, multiply by 15/15 to get 75/270

1/10:      since 10 goes into 270 27 times, multipoly by 27/27 to get 27/270

19/27 + 5/18 + (-1/10)    becomes    190/270 + 75/270 + (-27/270)    =    238/270    =  119/135

Solve it for y.

For example:                                2x + 3y  =  6

Subtract 2x from both sides:               3y  =  -2x + 6

Divide both sides by 3:                          y  =  -2/3·x + 3

Slope  =  -2/3

Y-intercept  =  3

do you need an explanation or the answer

Assuming that you want to factor:  5n³ -40n² + 4n - 32

Split this into two groups, the first two and the last two:

                                                  [ 5n³ - 40n² ] + [ 4n - 32 ]

Factor 5n² out of the first two and factor 4 out of the last two:

                                                   [ 5n²(n - 8) ] + [ 4(n - 8) ]

                                                       5n²(n - 8)  +  4(n - 8)

Factor (n - 8) out of the two parts:

                                                           (n - 8)(5n² +  4)

Since 5n² +  4 cannot be factored any furher, we are done.

$${\mathtt{9}}{\mathtt{\,-\,}}{\mathtt{10}}$$

Replace x = 6 and y with -2:

    -2   ?=?   (1/2)·(6) - 5

                         3 - 5

                          -2

The left side does equal the right side, so it is a solution.

Quadrant 1....x and y both positive

Quadrant 2.....x negative, y positive

Quadrant 3......x and y negative

Quadrant 4.....x positive, y negative

All points in Quadrant I have the form  (+, +).

All points in Quadrant II have the form (-, +).

All points in Quadrant III have the form (-, -).     <---(-2, -5)

All points in Quadrant IV have the form (+, -).

7n−(9n+1)>5    simplify

7n - 9n - 1 > 5

-2n - 1 > 5     add 1 to both sides

-2n > 6           divide each side by -2 and reverse the inequality sign

n < -3

7n - (9n + 1) > 5

Distributive the negative sign:

7x - 9n - 1 > 5

Simplify:

    - 2n - 1 > 5

Add  1  to both sides:

         -2n > 6

Divide both sides by -2 (whenever you multipy or divide an inequality by a negative number, you must change the direction of the inequality sign; you don't change the direction if you multiply or divide by a positive number):

           N < -3

If Saturn is 1.43 x 10^12 km from the sun and earth is 1.5 x 10^8 km from the sun, to find the distance between them subtract:  

       1.43 x 10^12  -  1.5 x 10^8

Get the same exponent on 10:

       1.43 x 10^12  =  1.43 x 10^4 x 10^8  =  1.43 x 10000 x 10^8  =  14300 x 10^8

      14300 x 10^8 - 1.5 x 10^8  =  14298.5 x 10^8  

But, we can't be that precise, so rounding it, we have: 14300 x 10^8  =  1.43 x 10^12

A rather surprising answer, but Saturn is 10000 times farther away from the sun as we are!

Slope-intercept form:  y  =  m·x + b

where  m  is the slope and  b  is the y-intercept.

Use the distributive property to reduce  7(3x + 6)  to get  21x + 42.

Use the distributive property to reduce  5(4x - 3)  to get  20x - 15.

7(3x + 6) - 2  =  6 + 5(4x - 3)

 21x + 42 - 2  =  6 + 20x - 15

Simplify each side:

     21x + 40  =  20x - 9

Subtract  20x  from both sides:

         x + 40  =  -9

Subtract  40  from both sides:

       x  =  -49

( -10 ± √212 ) / 8

=  (-10 ± √4√53 ) / 8

=  (-10 ± 2√53 ) / 8

Now, this fraction can be reduced by cancelling only if you cancel out of the -10, the 2, and the 8; you can cancel 2 out of each: (when you cancel 2 out of 2, it becomes 1, but you need not write it in this case)

=  (-5 ± √53 ) / 4

Remember: when cancelling, you MUST cancel the same number out of ALL THREE!

I'm assuming that you mean  0.12 1122 111222 ...

This pattern does not repeat, because each block of digits gets longer; for a pattern to repeat, the same block of digits (such as 1234) must continue to repeat, in the original fashion, from there forever; for example:

198.72736 1234 1234 1234 1234...

Look at both the numerator and the denominator. If you can find a number that divides evenly into both, divide that number out of both the numerator and the denominator.

You now have a reduced fraction. Now, go back and do the previous step again and again, until you can't do it anymore.

For example:    210 / 378

Since they are both even, 2 will divide into both the numerator and the denominator; after dividing each by 2:

  =    105 / 189

They aren't even, so 2 won't work again, try 3:

  =    35 / 63

If you try 3 again, it won't work (35 isn't divisible by 3); 5 won't work (63 isn't divisible by 5), but 7 will:

  =  5 / 9.

No more numbers work; you're done!

When you divide by a common fraction, multiply by teh reciprocal:

     2 ÷ (2/3)  =  2 x (3/2)  =  (2/1) x (3/2)  =  6/2  =  3

The digits 1, 2, 4, 5, 8, and 10 cannot be the denominator; all the others can.

If 1 is the denominator, then there is no decimal.

If 2 is the denominator, it terminates after one decimal place.

If 5 is the denominator, it terminates after one decimal place.

If 10 is the denominator, it terminates after one decimal place.

If 4 is the denominator, it terminates after two decimal places.   (4 = 2 x 2, each 2 creates one decimal place)

If 8 is the denominator, it terminates after three decimal places.  (8 = 2 x 2 x 2, each 2 creates one decimal place)

If you get into calculus, you will be shown infinite series that produce the digits of pi.

If you want to compare fractions by only looking at their numerators, their denominators must be equal.

thank u sooooooooooo much 

x^-7   means    1 / (x^7)

An expression with a negative exponent can be replaced with "1 / (the expression with a positive exponent)"

x^-7  =   1 / x⁷