geno3141

I'm not sure what "to make x the subject of the formula" means.

If it means to solve for y in terms of x:

     3x + 1  =  y( x + 2)     then divide both sides by x + 2:

             y  = (3x + 1) / (x + 2)

If it means to solve for x in terms of y:

     3x + 1  =  y( x + 2)      then multiply out the right side:

     3x + 1  =  xy + 2y        then get all the x-terms on one side and everything else on the other:

     3x - xy  =  2y - 1          then factor out the x-term

     x(3 - y)  =  2y - 1         then divide both sides by 3 - y

     x   =   (2y - 1) /(3 - y)

Multiply the number by the number:

1.34 x 4.5   =   6.03          which should be rounded to  6.0  because there are only two siginificant digits in 4.5

Now, multiply the exponent by the exponent:

10^8 x 10^6   =   10^14                 (add exponents)

So the answer is:   6.0 x 10^14

A function is an "even" function if  f(x) = f(-x)  for all values of x.

A function is an "odd" function if  f(-x) = -f(x) for all values of x.

Choose a value for x; 2 is OK:

f(2)  =  3(2) + 7  =  13                                 --->  -f(2)  =  -13

f(-2) =  3(-2) + 7  =  1

Since  f(2) ≠ f(-2), it can't be even.

Since  f(-2) ≠ -f(2), it can't be odd.

Work with the innermost set of parenthese first:

[ (8) * 2 + 11 ] / 3

Finish inside the set of brackets, doing multiplication before addition:

[ 8 * 2 + 11 ] / 3

[ 16 + 11 ] / 3

[ 27 ] / 3

Now finish by dividing 3 into 27.

2( 3x - 5 )  =  2

Use the distributive law first:  2( 3x - 5 )  =  2·3x  -  2·5   =   6x  - 10

6x  -  10   =   2

Since all the variables are on the left side (the 6x), get all the numbers to the right side: add 10 to both sides:

6x  -  10  +  10   =   2  +  10

6x   =   12

To get the variable alone, divide both sides by 6:

6x / 6   =   12 / 6

x   =   2

This problem can be interpreted two ways:

      a²  +  b² * 73                                 or                             ( a²  +  b² ) * 73

The "order of operations" rule would require us to evaluate it according to the way that is above left;

however, in common speaking, the way in the above right is usually meant. 

I would multiply each term by  b  to get rid of the denominators:

    b(12/b)  -  3(b)   =   b(6/b)  +  4(b)

          12 - 3b   =   6  +  4b

Can you take it from here?

Since you know the slope (m is the slope) and the y-intercept, the easiest form to use is the slope-intercept form which is:    y  =  mx + b                      where  m  is the slope    and    b  is the y-intercept.

Replace  m  with  75  and  b  with  -18:

    y  =  75x  +  -18                       or                       y  =  75x  -  18

√20  =  x√x

Square both sides:     ( √20 )²  =  ( x√x )²  

                                     20      =    x² · x

                                     20      =    x ^ 3

Take the cube root of both sides:               (One way to write "cube root" is "^ (1/3)".)

                          (20) ^ (1/3)   =    (x ^ 3) ^ (1/3)

Therefore,  x = (20) ^ (1/3).

Note:   ( x√x )²   =   ( x  ·  √x  )²    =    ( x )² · ( √x  )²     =    x² · x    =   x ^ 3

Hi!

-1 times itself an even number of times results in a +1.

-1 times itself an odd number of times results in a -1.

Any negative number multiplied times itself an even number of times results in a positive number.

Any negative number multiplied times itself an odd number of times results in a negative number.