IM Alg2.2.21 Lesson: Rational Equations (Part 2)
Solve each equation mentally:
[math]\frac{x}{2}=\frac{3}{4}[/math]
[math]\frac{3}{x}=\frac{1}{6}[/math]
[math]\frac{1}{4}=\frac{1}{x^2}[/math]
[math]\frac{2}{x}=\frac{x}{8}[/math]
Noah likes to go for boat rides along a river with his family.
[size=150]Noah likes to go for boat rides along a river with his family. In still water, the boat travels about 8 kilometers per hour. In the river, it takes them the same amount of time to go upstream 5 kilometers as it does to travel downstream 10 kilometers.[br][br][/size][img]data:image/png;base64,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[/img][br][br]If the speed of the river is [math]r[/math], write an expression for the time it takes to travel 5 kilometers upstream and an expression for the time it takes to travel 10 kilometers downstream.[br]
Use your expressions to calculate the speed of the river. Explain or show your reasoning.[br]
[size=150]Circuits in parallel follow this law: The inverse of the total resistance is the sum of the inverses of each individual resistance. We can write this as: [math]\frac{1}{R_T}=\frac{1}{R_1}+\frac{1}{R_2}+...+\frac{1}{R_n}[/math] where there are [math]n[/math] parallel circuits and [math]R_T[/math] is the total resistance. Resistance is measured in ohms.[/size][br][br]Two circuits are placed in parallel. The first circuit has a resistance of 40 ohms and the second circuit has a resistance of 60 ohms. What is the total resistance of the two circuits?[br]
Two circuits are placed in parallel. The second circuit has a resistance of 150 ohms more than the first. Write an equation for this situation showing the relationships between [math]R_T[/math] and the resistance [math]R[/math] of the first circuit.[br]
For this circuit, Clare wants to use graphs to estimate the resistance of the first circuit [math]R[/math] if [math]R_T[/math] is 85 ohms. Describe how she could use a graph to determine the value of [math]R[/math] and then follow your instructions to find [math]R[/math].[br]
Two circuits with resistances of 40 ohms and 60 ohms have a combined resistance of 24 ohms when connected in parallel. If we had used two circuits that each had a resistance of 48 ohms, they would have had that same combined resistance. 48 is called the harmonic mean of 40 and 60. A more familiar way to find the mean of two numbers is to add them up and divide by 2. This is the arithmetic mean. Here is how each kind of mean is calculated:[br][table][tr][td]Harmonic mean of [math]a[/math] and [math]b[/math]:[/td][td]Arithmetic mean of [math]a[/math] and [math]b[/math]:[/td][/tr][tr][td][math]\frac{2ab}{a+b}[/math][/td][td][math]\frac{a+b}{2}[/math][/td][/tr][/table]The harmonic mean of 40 and 60 was 48, and their arithmetic mean is (40+60)/2=50. [br][br]Experiment with other pairs of numbers. You can use the app below to store your work.[br]What can you conclude about the relationship between the harmonic mean and arithmetic mean?
IM Alg2.2.21 Practice: Rational Equations (Part 2)
Solve [math]x-1=\frac{x^2-4x+3}{x+2}[/math] for [math]x[/math].
Solve[math]\frac{4}{4-x}=\frac{5}{4+x}[/math] for [math]x[/math].
Using the app, show that the equation [math]\frac{1}{60}=\frac{2x+50}{x(x+50)}[/math] is equivalent to [math]x^2-70x-3,000=0[/math] for all values of [math]x[/math] not equal to 0 or -50. Explain each step as you rewrite the original equation.
Kiran jogs at a speed of 6 miles per hour when there are no hills. He plans to jog up a mountain road, which will cause his speed to decrease by [math]r[/math] miles per hour. Which expression represents the time, [math]t[/math], in hours it will take him to jog 8 miles up the mountain road?
The rational function [math]g(x)=\frac{x+10}{x}[/math] can be rewritten in the form [math]g(x)=c+\frac{r}{x}[/math], where [math]c[/math] and [math]r[/math] are constants. Which expression is the result?
[size=150]For each equation below, find the value(s) of [math]x[/math] that make it true.[/size][br][br][math]10=\frac{1+7x}{7+x}[/math]
[math]0.2=\frac{6+2x}{12+x}[/math]
[math]0.8=\frac{x}{0.5+x}[/math]
[math]3.5=\frac{4+2x}{0.5-x}[/math]
A softball player has had 8 base hits out of 25 at bats for a current batting average of [math]\frac{8}{25}=.320[/math].[br][br]How many consecutive base hits does she need if she wants to raise her batting average to .400? Explain or show your reasoning.