Explanation Given Information: The total number of apples T ( x ) is the total number of trees times the yield per tree. Each tree produces 800 apples and total trees are 50. For every additional tree planted, the average output per tree drops by 10 apples. x More trees are planted. Calculation: Consider the provided information, The total number of apples T ( x ) is the total number of trees times the yield per tree. Each tree produces 800 apples and total trees are 50. For every additional tree planted, the average output per tree drops by 10 apples. x More trees are planted. Total trees = 50 + x Each tree will produce, y = 800 − 10 x The function for total number of apples T ( x ) which is the total numb

1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

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Chapter 4.8, Problem 22C

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To calculate: The function for total number of apples T(x) which is the total number of trees times the yield per tree. Each tree produces 800 apples and total trees are 50. For every additional tree planted, the average output per tree drops by 10 apples. x More trees are planted.

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Chapter 4.8, Problem 21C

Chapter 4.8, Problem 23C

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3. Select the polynomial that matches the description given: Zero at 4 with multiplicity 3 Zero at −1 with multiplicity 2 Zero at -10 with multiplicity 1 Zero at 5 with multiplicity 5 ○ A. P(x) = (x − 4)³(x + 1)²(x + 10)(x — 5)³ B - P(x) = (x + 4)³(x − 1)²(x − 10)(x + 5)³ ○ ° P(x) = (1 − 3)'(x + 2)(x + 1)"'" (x — 5)³ 51 P(r) = (x-4)³(x − 1)(x + 10)(x − 5 3 of 10

Match the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²

What is the vertex, increasing interval, decreasing interval, domain, range, root/solution/zero, and the end behavior?

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The function for total number of apples T ( x ) which is the total number of trees times the yield per tree. Each tree produces 800 apples and total trees are 50. For every additional tree planted, the average output per tree drops by 10 apples. x More trees are planted.

Solution Summary: The author explains that the function for total number of apples is T(x)=40,000+300x-10x

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To calculate: The function for total number of apples T(x) which is the total number of trees times the yield per tree. Each tree produces 800 apples and total trees are 50. For every additional tree planted, the average output per tree drops by 10 apples. x More trees are planted.

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