geno3141

The slope intercept form for a straight line has an equation:   y =mx + b

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

For example:  y = -2x + 7 is a straight line that passes through the y-intercept (0,7) with a slope of -2.

Recursively:  The first term is -1.

Each term after the first is found by taking the previous term times -8.

Thus, the recursive formula:  t(1) = -1

                                           t(n) = -8 · t(n-1)

If you mean  G(x)  =  x² + 4x:

(I'll use a 'y' instead of a 'G(x)'.)

Complete the square:     y + 4  =  x² + 4x + 4

Factor:                          y + 4  =  (x + 2)² 

Any equation in the form  y - k  =  (x - h)²  is a parabola with its vertex at (h, k);

therefore, for this equation, the vertex is at  (-2, -4).

You can set up a proportion:      number of people who buy           total number of people who have to buy

                                               ------------------------------    =    --------------------------------------------

                                                 number of people asked                      total number of people asked

                                                                                2 / 7  =  120 / x

Cross-multiplying:  2 · x = 7 · 120     --->     2x  =  840      -->     x  = 420

Enter it into your calculator as 10 ^ √12.

The answer is approximately  2911

Using the distributive property:

4 - x - 2 < -3x - 12    

Simplifying:

2 - x < -3x - 12

Adding 3x to both sides:

2 + 2x < -12

Subtracting 2:

2x < -14

Dividing by 2:

x < -7               

Each of the  10  will have to play  9  games each.

That would be  10 x 9  =  90  games; but ...

Each game would be counted twice: the game that Alan plays against Barb would be one of Alan's  9  but it would also be counted as one of Barb's  9  games. 

Therefore, we have to divide  90  by  2  to get a total of  45  games.

x can be any number except 0.

Sometimes, but not always, will 0^0 be 1.

My brother and I get $10.00 from our uncle. We spent $5.00 on candy. We will evenly split what's left. How much will each of us get?

My mother, my father and I drove for 10 hours. I drove the first five hours. My parents split the remaining driving time. How long did my mother drive?

2^(1/6)  ≈  1.12246...

It is an irrational number; it never terminates and it never repeats; therefore, there will be exact common fraction equivalent.