Algebra 1
4. john buys a water tank from a company that likes to use exponents as dimensions. the
tank he buys has the dimensions b2 by b4 by 4c3. which of the following expressions
represent the volume of the water tank?
4b8c3
4b6c3
12b8c3
2b6c3

The expression is ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- In the exponent rules, we add the exponents when we multiply terms

 have same base

- Ex:

- The volume of the rectangular box is the product of its three

 dimensions

* Lets solve the problem

- John buys a water tank from a company

- The  tank he buys has the dimensions b² by b^4 by 4c³

∵ The water tank is shaped a rectangular box

∵ The tank has dimensions

∵ The volume of the tank = L × W × H , where L , W , H are the

  dimensions of the tank

- Assume that L = b² , W = and H = 4c³

∴ The volume of the tank = b² × × 4c³

- b² and b^4 has the same base, then add its exponents

∴ The volume of the tank = × 4c³

∴ The volume of the tank = × 4c³

∴ The volume of the tank =

* The expression which represents the volume of the tank is:

∴ The answer is the second expression

15

step-by-step explanation:

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1