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Ilya [14]
3 years ago
10

Five times the larger of two consecutive odd integers is equal to one more than eight times the smaller​

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0

Answer:

SMALLER INTEGER = 3

LARGER INTEGER = 5

Step-by-step explanation:

Given the following :

Five times the larger of two consecutive odd integers is equal to one more than eight times the smaller​

Let the larger = L, smaller = L - 2

5 × L = 8(L - 2) + 1

5L= 8L - 16 + 1

5L = 8L - 15

5L - 8L = - 15

-3L = - 15

Divide both sides by 3

L = 5

The smaller integer will be (L - 2)

(L - 2) = (5 - 2) = 3

HENCE, SMALLER INTEGER = 3

LARGER INTEGER = 5

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Carter divided the polynomial 6x2 + 4x + 3 by the monomial 2x using long division, and got an answer of 3x + 2 + . His work is s
Gnesinka [82]

Answer:

C. Both Carter and Demi are correct and would get the same answer.

Step-by-step explanation:

Here, the given polynomial is : P(x) =6x^2 + 4x + 3

The given monomial : Q(x)  = 2 x

Now, according to the given question:

Dividend = P(x), Divisor  = Q(x)

Now, Carter divide P(x) by Q (x) with LONG DIVISION METHOD.

If we divide P(x) by Q(x) by Long division, we get:

\frac{P(x)}{Q(x)}  = \frac{(6x^2 + 4x + 3)}{(2x)}  = 3x +  2 + \frac{3}{2} x = R(x)

Also, if Demi divides each term of P(x) by The given monomial (2x) , we get:

\frac{P(x)}{Q(x)}  = \frac{(6x^2 + 4x + 3)}{(2x)}  = \frac{6x^2}{2x}  + \frac{4x}{2x} +\frac{3}{2x} \\= 3x +  2 + \frac{3}{2}  = R(x)

⇒In both the case, R(X)Quotient is SAME.

Hence, Both Carter and Demi are correct and would get the same answer.

7 0
4 years ago
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Answer:

Step-by-step explanation:

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