A determine 0 m winking unit 2 4 page 36 7 given the

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a. Determine ( ݂ ∘ ݃ )(0) M. Winking Unit 2-4 page 36

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7. Given the length of a rectangle can be described by the function ݂ ( ݔ ) = 6 ݔ − 2 and the width of the same rectangle can be described by ݃ ( ݔ ) = 2 ݔ + 1 a. Determine ( ݂ ∙ ݃ )( ݔ ) and tell what it would represent as far as the rectangle is concerned. b. Determine an expression that represents the perimeter of the rectangle. 8. A pyramid is created from a square base where each side is 6 cm. The volume of the pyramid can be given by the function, ( ) = ૚૛ࢎ . The function to calculate the height of the same square based pyramid given the slant height could be described by H ( ) = − ૢ where ‘ s ’ is the slant height in cm. a. Evaluate ( ) = b. Explain what ( ) represents. 9. After being filled a party balloon’s volume is dependent of the temperature in the room. The volume of the balloon can be modeled by ( ) = ૝૚૙૙ + ૚૞ where the volume, V, is measured in cubic centimeters and the temperature, c, is measured in degrees Celsius. A function that enables you to change from degrees Celsius (C ˚ ) to degrees Fahrenheit (F ˚ ) is C ( ) = ( − ૜૛ ) . Show the composition of function required to determine the volume of the balloon when the temperature is 98 ˚ F. 10. A square is increased by doubling one side and decreasing the other sided by 3 units. Let x be the length of a side of the square. Create a function that would represent a change in the area of the rectangle after the transformation. ૟࢞ − ૛ ૛࢞ + M. Winking Unit 2-4 page 37

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