thegoat23373
Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Dakota drained his 2,268 ft^3 pool to clean it. The pool is a rectangle with an area that can be expressed as 2x^4 + 10x^2 and a depth that can be expressed as x^2 if a gallon of water has a volume of 1/60 x^2 formulate a function which represents the gallons of water it takes to fill the pool.

Sagot :

shubhamchouhanvrVT

The gallon of water required by Dakota to fill the pool will be given as:-

V(x) = 2x⁶ + 10x⁴.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Given that:-

  • Dakota drained his 2,268 ft³ pool to clean it.
  • The pool is a rectangle with an area that can be expressed as 2x⁴ + 10x²
  • The depth that can be expressed as x² if a gallon of water has a volume of 1/60 x²

The function which will represent the gallons of water will be:-

As it is given in the question the pool is of a rectangular shape so the volume of the pool will be calculated as:-

V = Area of the rectangular part x depth

V = ( 2x⁴ + 10x ²) ( x² )

V = 2x⁶ + 10x⁴.

Since the amount of the water will be equal to the volume of the pool so the function for the gallons will be given as;-

V (x) = 2x⁶ + 10x⁴.

Therefore gallon of water required by Dakota to fill the pool will be given as:-V(x) = 2x⁶ + 10x⁴.

To know more about function follow

https://brainly.com/question/2833285

#SPJ1

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.