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Amanda [17]
3 years ago
7

Which of the following equations is an example of inverse variation between the variables x and y

Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0

Answer:

The correct answer is option B

Step-by-step explanation:

The general form of inverse variation between the variables x and y is as following:

y * x = c where c is constant

option A : y = x/12 ⇒ x = 12y (wrong option)

option B : y = 12/x ⇒ y * x = 12 (correct option) and c will be equal 12

option C : y = x + 12 ⇒ not similar to the general form (wrong option)

option D : y = 12x (wrong option)

So, the correct option is B

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The rent for an apartment is $800 per month. The landlord charges one month's rent as a deposit plus a nonrefundable damage cost
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800n+1050

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Hope this helps!

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Step-by-step explanation:

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

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P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

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3 years ago
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