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Fynjy0 [20]
3 years ago
5

Exact decimals of 7 5/6​

Mathematics
2 answers:
Vinvika [58]3 years ago
6 0
Answer: 7.83 with the 3 repeating

Steps:

First change it to a mixed number.

47/6


Then, divide the numerator by the denominator.

_
47/6= 7.83 with the 3 repeating
iris [78.8K]3 years ago
3 0

Answer:

7.83 repeating

Step-by-step explanation:

Cal’s

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Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6
Alla [95]

Given:

The expression is:

2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

m+n=-6

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

P(x)=2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

P(2)=P(-1)              ...(i)

Substituting x=-1 in the given polynomial.

P(-1)=2(-1)^3+m(-1)^2+n(-1)+c

P(-1)=-2+m-n+c

Substituting x=2 in the given polynomial.

P(2)=2(2)^3+m(2)^2+n(2)+c

P(2)=2(8)+m(4)+2n+c

P(2)=16+4m+2n+c

Now, substitute the values of P(2) and P(-1) in (i), we get

16+4m+2n+c=-2+m-n+c

16+4m+2n+c+2-m+n-c=0

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3m+3n=-18

Divide both sides by 3.

\dfrac{3m+3n}{3}=\dfrac{-18}{3}

m+n=-6

Hence proved.

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3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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