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joja [24]
2 years ago
6

This graph shows the solution to which inequality? (3, 3) (-3,-1)

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
6 0

Answer: The answer is b

Step-by-step explanation:

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Which answer is correct?
dalvyx [7]
(x-p)(x-q)
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the answer is A
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Step-by-step explanation:

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3 years ago
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:

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

Which terminates the proof, since we showed that

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

as required

4 0
3 years ago
Round to nearest number 29 4/5
kaheart [24]
29.8 would be the number, but rounded would be 30
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To rent a canoe costs $15 for the first hour and $12 for each additional hour or fraction of an hour. Which point is NOT include
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A

Step-by-step explanation:

(2.5,39)

8 0
3 years ago
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