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wolverine [178]
3 years ago
11

Find the x- and y-intercepts of the graph of the linear equation −x+8y=4

Mathematics
1 answer:
Andreyy893 years ago
4 0
First set the equation equal to y by adding x to each side, then divide everything by 8. then set x to zero and solve to find the y - intercept of 1/2 which is just 4/8 reduced. you get this answer because x/8 becoming 0/8 is just 0 leaving you with only 1/2. then reset the equation with x and set y to zero and solve for x to get the x- intercept of -4. you get this by subtracting 1/2 from both sides leaving you -1/2=x/8 and multiply by 8 to get -4=x

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Step-by-step explanation:

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Unit 6: Periodic Functions and Trigonometry
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#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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3 years ago
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Step-by-step explanation:

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