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gregori [183]
3 years ago
15

The product of two positive consecutive odd integers is 2703. What are the positive numbers?

Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

x^2+2x-2703=0

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

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Irina18 [472]

4x - 2y = 22

Start by adding 2y to both sides to cancel out the -2y

4x = 22 + 2y

Now you can divide by 4

x = 22/4 + 2y/4

Reduce all the fractions to get your answer, which is

x = \frac{11}{2} + \frac{y}{2}

5 0
4 years ago
What is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6
Mashutka [201]
The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.
4 0
4 years ago
I really don't understand this I need help
Salsk061 [2.6K]
In looking at it I would guess it is asking which of the points is on the line? To answer that you would have to take each point an plug it into the equation and see if it is true.

3x - 7 = y

A(9,20)  
3(9) - 7 = 20
27 - 7 = 20
20 = 20 True - this point is on the line

B(5,0)
3(5) - 7 = 0
15 - 7 = 0
8 = 0 False - this point is not on the line

C(3,2)
3(3) - 7 = 2
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I hope this helps
7 0
3 years ago
What are the solutions to<br> (m +11)2 = 64?
mel-nik [20]

Answer:

(21 + 11)2 = 64

So, I don't think teachers do this, but this is my way of doing it

Okay, so first, I divided 64 by 2 :

64 ÷ 2 = 32

Then, I subtracted 11 from 32:

21

Now, to check, just do the problem :

(21 + 11)2 = 64

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6 0
3 years ago
Read 2 more answers
List the opposite of the following numbers:<br> -4, 1, -2.5, 101, 1/2
maksim [4K]

Answer:

<h2>☆<《<em><u>HOPE IT WILL HELP YOU</u></em><em><u> </u></em><em><u>》</u></em><em><u>></u></em><em><u>☆</u></em></h2>

Step-by-step explanation:

The opposite of :-

-4=4

1= -1

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101 = -101

1/2= -1/2

8 0
3 years ago
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