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serg [7]
4 years ago
13

Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next?

Mathematics
2 answers:
Jlenok [28]4 years ago
4 0
Without knowing what Faelyn has done so far or what she is working with, the second selection seems appropriate.

6x^4 -5x^2 -4
= (6x^4 +3x^2) -(8x^2 +4)
= 3x^2*(2x^2 +1) -4(2x^2 +1)
= (3x^2 -4)(2x^2 +1)
nadya68 [22]4 years ago
3 0

Answer:

(3x^2-4)(2x^2+1)

Step-by-step explanation:

Given that Faelyn noticed that she does not have a common factor.

The polynomial is

6x^4-5x^2-4

She can multiply constant term and leading term.

6*-4 =-24

The factors are -8 and 3 which when added give the middle coefficient -5.

Hence this can be factored by grouping as

(6x^4+3x^2)-(8x^2+4)\\= 3x^2(2x^2+1)-4(2x^2+1)\\=(3x^2-4)(2x^2+1)

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Unit 6: Periodic Functions and Trigonometry
Goshia [24]

Answer:

#1) A. 4; #2) A. periodic; about 6; #3) B. not periodic; #4) C.  2; 0.5; #5) A. 0.05 seconds; 4.5.

Explanation:

#1)  The period of a function is essentially the amount of time it takes for the function to start all over and repeat itself.  In this function, at t = 0 the graph is at 1; it curves up, back down and begins again at y=1 when t=4.  This means the period goes from t=0 to t=4, so it is 4.

#2) Looking at the left side of the graph, specifically the peak at (-5, 2), we see the same peak at about (1, 2).  Following the graph after that we can see that it does indeed repeat itself; this means the period goes from t= - 5 to t = 1, so it is 6.

#3) This function never repeats, so it is not periodic.

#4) This function repeats when it reaches t=2, so 2 is the period.  The amplitude is the distance from the center line (of the graph, not the x-axis) to the peak.  The center line would be located at about y=0.5; the peaks are at y=-1.  This means the amplitude is 0.5.

#5) This function repeats every 0.05 seconds.  In this case, the center line is the x-axis; the distance from it to any peak is 4.5, so 4.5 is the amplitude.

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Answer:

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