Exam 11: Radical Expressions, Equations, and Functions

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Use a calculator to approximate to three decimal places. -Use a calculator to approximate to three decimal places. -

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Solve the problem. If necessary, round to the nearest tenth. -One airport has a ramp sloping down from the passenger waiting area to the plane. If the distance from the waiting area to the plane is 42 feet and the height from the ground to the waiting area is 7 feet, how long is the Ramp?

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Solve the problem. -A manufacturer's cost is given by Solve the problem. -A manufacturer's cost is given by   , where C is the cost and n is the number of parts produced. How many parts are produced when the cost is $6200? , where C is the cost and n is the number of parts produced. How many parts are produced when the cost is $6200?

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Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers. -Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers. -

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Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -

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Graph. -Graph. -

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Simplify. -( Simplify. -(

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Determine whether the complex number is a solution of the equation. -1 + 2i; Determine whether the complex number is a solution of the equation. -1 + 2i;   - 3y + 3 = 0  - 3y + 3 = 0

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Multiply. Assume that no radicands were formed by raising negative numbers to even powers. -Multiply. Assume that no radicands were formed by raising negative numbers to even powers. -

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Rewrite with rational exponents. -Rewrite with rational exponents. -

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Use rational exponents to simplify. Write the answer in radical notation if appropriate. -Use rational exponents to simplify. Write the answer in radical notation if appropriate. -

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Simplify. -Simplify. -

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Use the laws of exponents to simplify. Write the answer with positive exponents. -Use the laws of exponents to simplify. Write the answer with positive exponents. -

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Find the following. Assume that letters can represent any real number. -Find the following. Assume that letters can represent any real number. -

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Use the laws of exponents to simplify. Write the answer with positive exponents. -Use the laws of exponents to simplify. Write the answer with positive exponents. -

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Solve. -Solve. -

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For the given function, find the indicated function value. -For f(x) = For the given function, find the indicated function value. -For f(x) =   , find f(-28). , find f(-28).

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Rewrite without rational exponents, and simplify, if possible. -Rewrite without rational exponents, and simplify, if possible. -

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Simplify. -Simplify. -

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Rewrite with positive exponents, and simplify, if possible. -Rewrite with positive exponents, and simplify, if possible. -

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