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Effectus [21]
3 years ago
13

Dec 23, 8:45:08 PM

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

3, 5, 7

Step-by-step explanation:

Let the first of the three positive consecutive odd numbers be x.

Now, the second odd number = x+2\\

And, the third odd number = x+4

As per question statement, the multiplication of the first and third odd number is 9 lesser than the 6 times the second integer.

Writing the equation, we get:

x(x+4) = 6(x+2)-9\\\Rightarrow x^{2} +4x=6x+12-9\\\Rightarrow x^{2} +4x-6x = 3\\\Rightarrow x^{2} -2x - 3=0\\\text{Solving the above equation by factorization method:}\\\Rightarrow x^{2} -3x +x - 3=0\\\Rightarrow x(x -3) + 1(x - 3)=0\\\Rightarrow (x -3) (x+ 1)=0\\\Rightarrow x =3, -1

As, we got a quadratic equation, so we have two solutions here.

One is positive integer and other one is negative.

So, solution is x=3

First number is 3.

Second number is 3 + 2 = 5

Third number is 5 + 2 = 7

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Subtract the equations.
Lostsunrise [7]

Answer:

0x+2y=22

Step-by-step explanation:

Set them equal to each other, (5x+4y=25)-(5x+2y=3). Distribute the negative into the right equation, (5x+4y=25)(-5x-2y=-3). Then combine like terms to get your answer.

6 0
2 years ago
Help immediately please
Debora [2.8K]

Answer:

35,45,55 is not a triangle

Step-by-step explanation:

The three angles of a triangle add to 180

30+60+90 = 180  

true

45+55+80 = 180

true

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4 0
3 years ago
What is the expression in simplest form (3x -2) - (4x +1)
zzz [600]

Answer:

Step-by-step explanation:

(3x -2) - (4x +1)

= 3x - 2 - 4x - 1

= - x - 3

4 0
2 years ago
write an expression that shows how you can multiply 9 x 475 using expanded form and the distributive property
kiruha [24]
9(400 + 70 + 5). Distribute the nine to all the numbers in parentheses. 3600 + 630 + 45 = 4,275. 9 * 475 =4,275
4 0
2 years ago
Read 2 more answers
Answer question (picture below) and show work please
antiseptic1488 [7]

Answer:

A(x)=7x^2-2x+10

Step-by-step explanation:

Long Division

The polynomial long division implies the sequential division of each term of the dividend polynomial by the terms of the divisor polynomial. The procedure is a well-know sequence of steps from which there are two outputs: the quotient and the remainder.

We have two mathematical models, one for the total number of visitors who went to a theme park:

F(x)=126x^3+279x^2+90x+450

The other for the number of shows played at the theme park in the same period

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Where x is the number of days since October 1. We are required to find the expression for the average number of visitors per show. It comes by dividing F(x) by G(x). We must perform a long division as shown  below.

The average number of visitors per show is

A(x)=7x^2-2x+10

For example, day 5

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There were 175 visitors per show (on average)

7 0
3 years ago
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