f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.

−1 −7/2 −9/2

0 −3 −3

1 −2 −3/2

2 0 0

3 4 3/2

4 12 3

5 28 9/2

There are two solutions to f(x) = g(x) which are x=0 and x=2.

8 0

3 years ago

Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each

Dima020 [189]

Answer:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

x + 2y = 11 •••••••••(i)

Now let’s work with points

Touch down points = 6 * x = 6x

Points from extra kick = 1 * y = y

Points from 2-point conversions = 2(y-1) = 2y - 2

So;

6x + y + 2y -2 = 37

6x + 3y = 37 + 2

6x + 3y = 39

divide through by 3

2x + y = 13 •••••••(ii)

So now solve simultaneously

From ii, y = 13 - 2x

Put this into i

x + 2(13-2x) = 11

x + 26 - 4x = 11

x -4x = 11-26

-3x = -15

x = -15/-3

x = 5

There are five touchdowns in the game

6 0

4 years ago