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IgorC [24]
3 years ago
12

If the value of y varies directly with x and y= -1 when x=3, find y if x=9

Mathematics
1 answer:
Zolol [24]3 years ago
4 0

y = - 3

Since y varies directly as x then

y = kx ← ( k is the constant of variation )

to find k use y = - 1 when x = 3

k = \frac{y}{x} = \frac{-1}{3} = - \frac{1}{3}

hence y = - \frac{1}{3} x

when x = 9, then

y = - \frac{1}{3} × 9 = - 3


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Answer: p=7/2=3.5

Step-by-step explanation:

Given

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3 years ago
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Answer:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

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This is an arithmetic sequence, because the population is said to increase by 4 animals yearly. The formula for the nth term in an arithmetic sequence is given by:

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Since they are currently 17, this implies that the first number in the population sequence will be 17. In order words, the first term is 17.

Since they increase by 4 yearly, then the common difference is 4.

Since it's for 20years, the n = 1, 2, . . ., 20. The explicit formula is therefore:

a{_n} = 17 + (n - 1)4 for n = 1, 2, . . . , 20.

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