A box is formed by cutting squares from the four corners of a 7-wide by 9-long...
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A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and folding up the sides. Let z represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). a. Write a formula that expresses V in terms of z. V = (7-2x)(9-2x)x Preview b. Suppose the function f determines the volume of the box (in cubic inches) given (or in terms of) a cutout length in inches, z. Write a function formula for f. (7-2xX9-2x)x Preview c. What is the domain of f? Enter your answer as an interval. Hint. (0.9) Preview d. What is the range of f? Enter your answer as an interval. Hint. E (-00,00) Submit Preview License A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and folding up the sides. Let z represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). a. Write a formula that expresses V in terms of z. V = (7-2x)(9-2x)x Preview b. Suppose the function f determines the volume of the box (in cubic inches) given (or in terms of) a cutout length in inches, z. Write a function formula for f. (7-2xX9-2x)x Preview c. What is the domain of f? Enter your answer as an interval. Hint. (0.9) Preview d. What is the range of f? Enter your answer as an interval. Hint. E (-00,00) Submit Preview License
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Related Book For
Mathematical Applications For The Management, Life And Social Sciences
ISBN: 9781337625340
12th Edition
Authors: Ronald J. Harshbarger, James J. Reynolds
Posted Date:
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