During their last game, the Miami Dolphins scored ͸ times for a total score of ͵Ͳ points. They scored ͹ points for each touchdown and ͵ points for each field goal. Write and solve the systems of equations to find the total touchdowns and field goals scored.

The Miami Dolphins had 3 touchdowns and 3 field goals.

Step-by-step explanation:

It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

...(2)

Put the value of x from equation (1) into equation (2).

Put y = 3 in equation 1.

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

1st part is 64,000,000

2nd part 500,000

step-by-step explanation: