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dem82 [27]
3 years ago
7

Use the Distributive Property to write each expression in factored form. DO NOT determine the answer.

Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

<u>11) 6x^2+ 6x^3</u>

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

6x^2 = 6.x.x\\6x^3 =6.x.x.x

The factored form is:

= 6.x.x+6.x.x.x

<u>12) -6x^2 + (-6) x^3</u>

Similarly, as 11

-6x 2 =-6.x.x\\-6x^3=-6.x.x.x

The factored form is:

=-6.x.x+ (-6).x.x.x

<u>13) 5x - 8x</u>

We can clearly see that there is only one common factor in both terms which is x

5x = 5.x\\8x = 8.x

The factored form is:

=5.x-8.x

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

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I used my calculator and got x=1 y=3

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B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.

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