Question: For the following exercises, use the written statements to construct a polynomial function that represents the required information. A rectangle is twice as long as

For the following exercises, use the written statements to construct a polynomial function that represents the required information.

A rectangle is twice as long as it is wide. Squares of side 2 feet are cut out from each corner. Then the sides are folded up to make an open box. Express the volume of the box as a function of the width (x).

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Precalculus 1st Questions!

The length L of a rectangle is twice as long as its width W. Which of the following gives the area A of the rectangle as a function of its width? (A) A(W) = 3W (B) A(W) = 1/2 W 2 (C) A(W) = 2 W 2 (D)...

A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 2-in. squares from each corner and folding up the sides. Let x represent the width (in...

A Lincoln Continental is twice as long as a VW Beetle, when they are at rest. As the Continental overtakes the VW, going through a speed trap, a (stationary) policeman observes that they both have...

For the following exercises, use the written statements to construct a polynomial function that represents the required information. A rectangle has a length of 10 inches and a width of 6 inches. If...

For the following exercises, use the written statements to construct a polynomial function that represents the required information. An oil slick is expanding as a circle. The radius of the circle is...

For the following exercises, use the written statements to construct a polynomial function that represents the required information. An open box is to be constructed by cutting out square corners of...

For the following exercises, use the written statements to construct a polynomial function that represents the required information. A cube has an edge of 3 feet. The edge is increasing at the rate...

For the following exercise, use the written statements to construct a polynomial function that represents the required information. 12. An oil slick is expanding as a circle. The radius of the circle...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

1(Multiple Choice Worth 1 points) (06.06 LC) An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the...

What is the differential equation of the family of parabolas having their vertices at the origin and their foci on the x-axis? Ads by Ad.Plus A. 2x dy - y dx = o B. x dy + y dx = o C. 2y dx - x dy...

A bicycle tire is filled with air to a pressure of 75 psi at a temperature of 19 o C. Riding the bike on asphalt on a hot day increases the temperature of the tire to 58 o C. The volume of the tire...

8 Here are two sets of cards. Set A 2 3 Set B 2 4 3 One card is taken at random from each set and they are added together. a Copy and complete this table to show the possible totals. b Work out the...

The HR employee engagement initiative ensures employee motivation, lower staff attrition, and higher manpower productivity.

Find the direction angle between i and v = -i + 3j.

Find the direction angle between i and v = 2i - 6j.

Find the distance from to P 1 = (1,3,-2) to P 2 = (4, -2, 1).

1. Fill in the blanks (type your answers only, no need to type the questions) (14 points in total) a. Securities with maturity less than one year are traded in the securities with maturity more than...

Below is the listing of a bond issued by Ford Motor Company (F). Below the detail of the bond is the information on a recent sale of part of the bond issue. 1. Explain what the price of $110.529 on a...