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3 years ago

Select the postulate that is illustrated for the real numbers.

Mathematics

1 answer:

Advocard [28]3 years ago

6 0

Answer:

The correct answer is distributive postulate.

Step-by-step explanation:

Look at the expression we have given:

3x + 3 = 3(x + 1)

And we are asked that which postulate is illustrated for the real numbers.

We know that the distributive property of multiplication states that we can multiply a sum of numbers by multiplying each addend separately and finally add the products.

a*(b+c)= a*b+a*c

where a,b and c are real numbers.

3(x+1)= 3*x+3*1 = 3x+3

Therefore the correct option is distributive postulate....

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In the equation 11 - 4(x +4) = 6x, the first step is to simplify 11 - 4.<br> True<br> False

BaLLatris [955]

Answer:

False

Step-by-step explanation:

You first need to distribute the -4 to (x+4).

7 0

2 years ago

B. Mason put sticky notes on some pages of his math book. The page numbers for this sequence 3, 5, 8, 13, 21,34, ... Describe th

katrin [286]

Answer:

The next two terms are 55 and 89

Step-by-step explanation:

This is an example of the Fibonacci Sequence: The sum of the previous two numbers equals the next number.

You can see that :

3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 24

Rule: the sum of the previous two numbers, equals the next number.

Solve:

3, 5, 8, 13, 21, 34, (21 + 34), (34 + 21 + 34)
3, 5, 8, 13, 21, 34, 55, 89

The next two terms are 55 and 89

-Chetan K

6 0

2 years ago

Read 2 more answers

-<br> Please can u help me

Elenna [48]

Answer:

a) 4cd^2

b) 3a^2b^3

Step-by-step explanation:

5 0

3 years ago

Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144

Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)