geno3141

Use the distributive law to simplify:  4(4x - 7)  =  4·4x - 4·7  =  16x - 28

4(4x - 7) + 12  =  12

16x - 28 + 12  =  12                     Simplify - 28 + 12:

16x - 16  = 12                              Remove -16 by adding 16 to both sides:

16x - 16 + 16  =  12 + 16

16x  =  28                                    Remove the 16 by dividing both sides by 16:

16x / 16  =  28 / 16

x  = 1.75

2 squared represents the area of a square that has 2 for length of each side:  2 x 2  =  4

Multiply the number times the number:

     2.0 x 1.7  =  3.4

Multiply the power times the power:

     (10^33) x (10^-24)  =  10^9                         (When multiplying numbers that have the same base,                                                                                      add the exponents.)

Answer:     3.4 x 10^9

This can be done two different ways:

First way: find 40% of 1500 (which is 600) and then subtract this value from 1500 (1500 - 600 = 900).

Second way: find the percent that remains after the reduction (100% - 40% = 60% --> this means that 60% will remain)  -->  find this amount:  60% or 1500 = 900.

pi  =  3.1415926535... neither repeats nor terminates.

This is not a quadratic problem; to be a quadratic, you need a squared term.

Did you mean to write:    6p² + 31p + 5  =  0 ?

If so,      a  =  6     b = 31     c = 5

p  =  ( -b ± √( b² -4ac) ) / (2a)

p  =  ( -31 ± √( 31² -4·6·5) ) / (2·6)

If you need help simplifying this, write back.

5x² - x - 6

The factors of 5 are 5 and 1.

The factors of 6 are either 6 and 1 or 3 and 2.

Since the number term (-6) is negative, we will need one + sign and one - sign.

So, the factors will look like    (5x + ?)(x - ?)    or    (5x - ?)(x + ?) 

Now replace the question marks with 6 and 1, 1 and 6, 3 and 2, and 2 and 3.

One of these four possibilities does work; try each one and check it by FOILing out.

invtan(0) = 0°, 180°, 360°, ...

Between 0° and 90° there are no angles that have an invtan of 0.

To solve this for x, we need to get the x-term alone.

There is a 3a attached to the x-term by multiplication.

Therefore, we will need to divide both sides by 3a:

   (3ax) / (3a)  =  (1/5) / (3a)

                  x   =  1/(15a)

Note:  (1/5) / (3a)  =  (1/5) x (1/3a)   =   1/(15a)  

   To get the numerator, multiply 1 x 1  =  1;

   to get the denominator, multiply 5 x 3a  15a.   

The denominators are 7, 4, and 14   --->   a common denominator is  7 x 4  =  28.

Write each term with a denominator of 28:

(13x/7)·(4/4) - x·(28/28) + (x/4)·(7/7) - (3/14)·(2/2)

52x/28 - 28x/28 + 7x/28 - 6/28

(52x - 28x +7x -6)/28

Now finish the simplifications.