What is the factored form of the expression (m^2 - 25)?
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Mathematics
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11th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
(m - 5)(m + 5) is the factored form of (m^2 - 25), which is a difference of squares.
2.
FLASHCARD QUESTION
Front
How can you define a sequence based on its first five terms: -1.75, -0.5, 0.75, 2, 3.25?
Back
The function f(n) = \frac{5}{4}(n - 1) - \frac{7}{4} can be used to define and continue this sequence.
3.
FLASHCARD QUESTION
Front
What is the equivalent expression for √3^8?
Back
The equivalent expression for √3^8 is 3^(1/4).
4.
FLASHCARD QUESTION
Front
What inequality represents all possible solutions of -6n < -12?
Back
The inequality n > 2 represents all possible solutions of -6n < -12.
5.
FLASHCARD QUESTION
Front
What does the formula R = V/t represent in terms of water flow?
Back
R is the rate of water flow, V is the volume in gallons, and t is the time in seconds. The appropriate unit for R is g/s.
6.
FLASHCARD QUESTION
Front
What is the definition of a difference of squares?
Back
A difference of squares is a polynomial of the form a^2 - b^2, which can be factored into (a - b)(a + b).
7.
FLASHCARD QUESTION
Front
What is the general form of a linear function?
Back
The general form of a linear function is f(n) = mn + b, where m is the slope and b is the y-intercept.
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