Unit 4B Flashcard Review

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the relationship between Parker's and Libby's biking speeds if Parker rides 4 mph faster than Libby?
Back
If Parker's speed is represented as L + 4 (where L is Libby's speed), then the equation can be set up based on the distance and time they travel.
2.
FLASHCARD QUESTION
Front
How do you calculate the time it takes for two people to complete a task together?
Back
Use the formula: 1/(1/A + 1/B) = T, where A and B are the times taken by each person to complete the task alone, and T is the time taken together.
3.
FLASHCARD QUESTION
Front
What is a vertical asymptote in a rational function?
Back
A vertical asymptote is a line x = a where the function approaches infinity or negative infinity as x approaches a.
4.
FLASHCARD QUESTION
Front
Back
5.
FLASHCARD QUESTION
Front
What is the significance of the degree of the numerator and denominator in determining horizontal asymptotes?
Back
The horizontal asymptote is determined by comparing the degrees: if the degree of the numerator is less than the denominator, the asymptote is y = 0; if they are equal, y = leading coefficient of numerator/leading coefficient of denominator.
6.
FLASHCARD QUESTION
Front
If Stephanie takes 7 hours and Shayna takes 12 hours to clean an attic, how do you find their combined work rate?
Back
Calculate their rates: Stephanie's rate = 1/7, Shayna's rate = 1/12. Combined rate = 1/7 + 1/12 = 1/T, where T is the time taken together.
7.
FLASHCARD QUESTION
Front
What is the formula for finding the time taken when two people work together?
Back
The formula is T = 1 / (1/A + 1/B), where A and B are the individual times taken by each person.
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