geno3141

For the function  f(x) = x²,  the function  f(x) = (x - h)²  represents a horizontal translation of  h  units.

For example:  f(x)  =  x²  has a vertex at  (0,0)

                       f(x)  =  (x - 3)²  has a vertex at (3,0)

                       f(x)  =  (x + 5)²  has a vertex at (-5,0)

All of these are congruent to each other and open upward.

.1767676767676767676...  =  35/198

What is the question?

If the problem was:                              60 - 5t  <=  35

and you subtracted 60 from both sides:     -5t  <=  -25

and you divided both sides by -5:                  t  >=  5

you did the problem correctly!

                                       (6/7)x - (1/7)  <=  x - 2

Multiply all terms by 7:               6x - 1  <=  6x - 12

Subtract 6x from both sides:           -1  <=  -12

This is an impossible situation; there is no answer.     The answer set is empty:  { }

3x +  y  =    15             --->           3x +   y  =   15   

-x + 2y  =  -19      --->  x 3  --->   -3x + 6y  =  -57

Add down the columns:                       7y  =  -42

Divide by 7:                                            y  =  -6

Replace into the first equation:     3x + y  =  15     --->     3x + (-6)  =  15     --->     3x  =  21     --->     x   =  7 

2 x 1/5  =  2/1 x 1/5  =  (2 x 1) / (1 x 5)  =  2/5

3.85 x 10³  =  3850

5.02 x 10²  =  502

[(3.84 * 10^3)- (5.02*10^2)]  =  [3850 - 502]  =  3348

6.545 x 10^-2  =  0.06545

3348 x 0.06545  =  219.1266  =  2.191266 x 10²

x²( 8x - 2/5 )( 5x + 6/5 )

=  x²( 40x² + 48x/5 - 2x - 12/25 )

=  x²( 40x² + 38x/5 - 12/25 )

=  20x⁴ + 38x³/5 - 12x²/ 25

(-9 + i)(-9 - i)  =  -9(-9 - i) + i(-9 - i)  =  81 + 9i - 9i - i²  =  81 - i²  =  81 - (-1)  =  81 + 1  =  82

Since you are dealing with complex numbers,  i² = -1, so replace i² with -1.

63i² + 123i - 18  =  63(-1) + 123i - 18  =  -63 + 123i - 18  =  -81 + 123i.