The difference of the square of a number and 28 is equal to three times the number find the negative solution

y=-4

Step-by-step explanation:

To find this

We get,

The difference between the square of the number

Let y be the unknown number

Square of y=y^2

Y^2-28=3y

Then let we are going to rearrange, then we get

y^2-3y-28

We are going to factorise

y^2-7y+4y-28

(y^2-7y+(4y-28)

y(y-7)+4(y-7)=0

(y+4)(y-7)=0

To find the negative number then we have

y=-4

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you