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Transparency 1. Click the mouse button or press the Space Bar to display the answers. Transparency 1a. Lesson 2 Contents. Example 1 One Excluded Value Example 2 Multiple Excluded Values Example 3 Use Rational Expressions Example 4 Expression Involving Monomials - PowerPoint PPT PresentationTRANSCRIPT
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Click the mouse button or press the Space Bar to display the answers.
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Example 1 One Excluded ValueExample 2 Multiple Excluded ValuesExample 3 Use Rational ExpressionsExample 4 Expression Involving MonomialsExample 5 Expression Involving PolynomialsExample 6 Excluded Values
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Exclude the values for which
Subtract 7 from each side.
Answer: b cannot equal –7.
The denominator cannot equal zero.
State the excluded value of
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Answer: –3
State the excluded value of
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Exclude the values for which
The denominator cannot equal zero.
Factor.
Use the Zero Product Property to solve for a.
or
Answer: a cannot equal –3 or 4.
State the excluded value of
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Answer: 2, 3
State the excluded value of
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The original mechanical advantage was 5.
Landscaping Refer toExample 3 on page 649.Suppose Kenyi finds arock that he cannot movewith a 6-foot bar, so he gets an 8-foot bar. But thistime, he places the fulcrumso that the effort arm is 6 feetlong, and the resistance armin 2 feet long.Explain whether he has more or less mechanicaladvantage with his new setup.
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Simplify.
Answer: Even though the bar is longer, because he moved the fulcrum he has a mechanical advantage of 3, so his mechanical advantage is less than before.
Use the expression for mechanical advantage to write an expression for the mechanical advantage in the new situation.
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Answer: Since the mechanical advantage is 3, Kenyi can
lift 3 • 180 or 540 pounds with the longer bar.
If Kenyi can apply a force of 180 pounds, what is the greatest weight he can lift with the longer bar?
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Landscaping Sean and Travis are responsible for clearing an area for a garden. They come across a large rock that they cannot lift. Therefore, they use a 5-foot bar as a lever, and the fulcrum is 1 foot away from the rock.
a. Use the formula to find the mechanical advantage.
b. If they can apply a force of 200 pounds, what is the greatest weight they can lift?Answer: 4
Answer: 800 lb
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The GCF of the numeratorand denominator is
Divide the numerator anddenominator by
1
1
Simplify
Answer: Simplify.
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Simplify
Answer:
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Factor.
Divide the numerator and denominator
by the GCF, x – 7.
1
1
Simplify
Answer: Simplify
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Simplify
Answer:
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Divide the numeratorand denominator bythe
1
1
Simplify State the excluded values of x.
Factor.
Simplify.Answer:
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Exclude the values for which equals 0.
The denominator cannot equal zero.
Factor.
Zero Product Property
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Evaluate.
Simplify.
Check Verify the excluded values by substituting them into the original expression.
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Evaluate.
Simplify.
Answer: The expression is undefined when andTherefore,
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Answer:
Simplify State the excluded values of w.
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