geno3141

When graphing functions, they each need to be solved for y (or for f(x)).

When graphed, the functions are equal when they intersect.

Can you be more specific, including a particular problem?

Can you include the problem?

A terabyte has 10^12 bytes.

A megabyte has 10^6 bytes.

(1.5 x 10^12) ÷ (3 x 10^6)  =  (1.5 ÷ 3) x (10^12 ÷ 10^6)  =  (0.5) x (10^6)  =  5 x 10^5

At least 11 means either 11 or 12:

Probability of 11:  12C11·(.80^11)·(.20^1)

Probability of 12:  12C12·(.80^12)·(.20^0)

Find the above two probabilities and add them.

One-half of 0.7 is 0.35

I'm not certain what the instructions are; however, you can rewrite it as:

    y  =  x/3 + 1

Since you can multiply numbers in any order, I would suggest rearranging the problem to get this:  (9)(5/3)(x + 9)

Multiplying (9)(5/3) =  15

Now you have:  15(x + 9)

Use the distributive property:  15(x) + 15(9)  =  15x + 135

I'll show you a way to solve that set of equations; there are other methods available.

1)  To make the problem easier, multiply each equation by 2:

      15a +    b  - 7c  =  13

        5a -   6b + 8c  =  10

        3a - 10b + 4c  =  -22

2) Eliminate one of the variables; I'm going to choose to eliminate 'a'.

    Take the first two equations;                    Take the first and the last equation;

    leave the first one alone;                          leave the first one alone;

    multiply the second one by -3:                  multiply the last one by -5:

    15a +    b  - 7c  =  13                              15a +     b  - 7c  =  13

   -15a +18b - 24c  = -30                            -15a + 50b - 20c  =  110

   Add down the columns:                            Add down the columns:

             19b - 31c  =  -17                                       51b - 27c  = 123

3)  Combine these two equation together:

     19b - 31c  =  -17   -->  multiply by 51:      969b - 1581c  =  -867   

      51b - 27c  = 123   -->  multiply by -19:   -969b  + 513c  =  -2337

                         Add down the columns:                   -1068c  =  -3204

                         Divide by -1068:                                     c  =  3

4)  Substitute this value (c = 3) into the equation  19b - 31c  =  -17  to find the value          for b:

      19b - 31(3)  =  -17   --->  19b  =  76   -->   b  =  4

5)  Substitute these values (b = 4 and c = 3) into the equation 15a + b - 7c  =  13              to find the value for a:

     15a + (4) - 7(3)  =  13   -->  15a  =  30   -->  a  = 2

I'm hoping that someone else can give you an easier solution to your problem. 

You can multiply the two denominators together to get a common denominator:  (a - b)*(a + b).

Multilply the first term by  (a + b) / (a + b)  and multiply the second term by  (a - b) / (a - b):

[ 2 / (a - b) ] * [ (a + b) / (a + b) ]  =  (2a + 2b) / [ (a + b) / (a - b) ]

[ 1 / (a + b) ] * [ (a - b) / (a - b) ]  =  (a - b) / [ (a + b) / (a - b) ]

Now, add the two numerators:  (2a + 2b) + (a - b)  =  (3a + b)

Writing this over the common denominator, the answer is:          (3a + b) /[ (a + b) / (a - b) ]

2|3x - 4| = 20

Divide both sides by 2:

|3x - 4| = 10

Now either  3x - 4 = 10     or 3x - 4 = -10

                        3x = 14              3x = -6

                        x = 14/3   or         x = -2