A community swimming pool has a deep end and a shallow end. The volume of water in the deep end can be represented by (2x2+12x+10) ft3 and the volume of the water in the shallow end can be represented by (4x2−100)ft3. Write the equivalent expression ("simplified") that represents the total volume of the water in the pool in ft3.

The total volume of water in the pool  = ( 6x^3 + 12x^2 - 90x ) ft^3

Step-by-step explanation:

The volume of water in the deep end = (2x^3 + 12x2 + 10x) ft^3

The volume of water in the shallow     =  (4x^3 -100x) ft^3

The total volume of water in the pool  = (2x^3 + 12x2 + 10x)  +  4x^3 -100x)

                                                              = ( 6x^3 + 12x^2 - 90x ) ft^3

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