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fiasKO [112]
4 years ago
5

Which relationship shows an inverse variation?

Mathematics
1 answer:
PIT_PIT [208]4 years ago
6 0
In inverese, when x increases, y deceases, when x decreases, y increses

we see that x increases for all choices

therefor the y values of the answer should be decreasing

first one is increasing, wrong
second is decreasing
third is also decreasing
fourth is increasing


look at second and third

remember
xy=k for inverse
so just solve for k for each and see if it is valid

second
1,60
(1)(60)=k
60=k

2,30
(2)(30)=60
60=60
true

therefor this is nswer



2nd option is answer
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Answer:

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Step-by-step explanation:

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Replace X With 5

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Find n for the sequence for which a1 = 30, d = -4 and sn= -210.
REY [17]

n\in\mathbb{N^+}

The formula of the sum of an arithmetic sequence:

S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n

We have:

a_1=30;\ d=-4;\ S_n=-210

substitute:

\dfrac{2\cdot30+(n-1)(-4)}{2}\cdot n=-210\ \ \ |\cdot2\\\\(60-4n+4)n=-420\\\\(64-4n)n=-420\\\\64n-4n^2=-420\ \ \ |:(-4)\\\\n^2-16n=105\ \ \ |-105\\\\n^2-16n-105=0\\\\n^2+5n-21n-105=0\\\\n(n+5)-21(n+5)=0\\\\(n+5)(n-21)+0\iff n+5=0\ \vee\ n-21=0\\\\n=-5\notin\mathbb{N^+}\ \vee\ n=21\in\mathbb{N^+}

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Step-by-step explanation:

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