An equation was created for the line of best fit from actual enrollment data. it was used to predict the dance studio enrollment values shown in the table below: enrollment month january february march april may june actual 500 400 550 13 16 14 predicted 8 15 15 12 17 15 residual 4 −1 −1 1 −1 −1 analyze the data. determine whether the equation that produced the predicted values represents a good line of best fit. no, the equation is not a good fit because the sum of the residuals is a large number. no, the equation is not a good fit because the residuals are all far from zero. yes, the equation is a good fit because the residuals are all far from zero. yes, the equation is a good fit because the sum of the residuals is a small number.

 First option is correct.

Step-by-step explanation:

Enrollment month   Actual   Predicted   Residual

January                   500           8                4

February                 400           15              -1

March                     550            15              -1

April                         13              12              -1

May                         16              17              -1

June                        14              15              -1

Since we know that

Residual value = Actual value - Predicted value

Sum of residuals is given by

since we can see that sum of residual is more than 0.

So, it can't be a good fit .

Hence, No, the equation is not a good fit because the sum of the residuals is a large number.

Therefore, First option is correct.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.