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Anettt [7]
3 years ago
12

How does 10 - 4 help you solve 30 - 4

Mathematics
2 answers:
NikAS [45]3 years ago
7 0
It helps because if you know 10-4=6 then you know that 30-4 would be 26. Since 30 is only 20 more than 10 you know that 20+6 would be the answer.
kirza4 [7]3 years ago
4 0

Answer:

The value of given expression is 26.

Step-by-step explanation:

We need to solve 30 - 4 using 10 - 4.

First of all solve 10 - 4.

10-4=6                     .... (1)

Consider the given expression

30 - 4

Split the number 30 as the sum 10 and a number.

(20 + 10) - 4

It can be written as

(20 + 10) + (-4)

Using associative property of addition.

20 + (10 + (-4))

20 + (10 - 4)

Using equation (1) we get

20 + 6

26

Therefore the value of given expression is 26.

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x + 7 = 6x - 3

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x = 2

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Bezzdna [24]

The factored form of the considered polynomial is (x+3)(x+8)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form

ax^2 + bx + c

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

b = \alpha + \beta \\ ac =\alpha \times \beta

Then writing b in terms of alpha and beta would help us getting common factors out.

For the considered polynomial, we've got the quadratic expression as:

x^2 + 11x + 24

Comparing this with ax^2 + bx + c, we get:

  • a = 1 (since x^2 = 1\times x^2 )
  • b = 11
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Therefore, we have : ac = c = 24

Two numbers whose multiplication gives 24 and and whose addition gives 11.

24 = 2 \times 2 \times 2 \times 3

If we take first three 2s, and 3, then:

24 = 8 \times 3 =  (2 \times 2 \times 2) \times 3\\11 = 8 + 3 = (2 \times 2 \times 2) + 3

Thus, we need to write 11 in the middle in terms of 8 and 3:

x^2 + 11x + 24 = x^2 + 8x + 3x + 24 = x(x+8) + 3(x+8) = (x+3)(x+8)

Thus, the factored form of the considered polynomial is (x+3)(x+8)

Learn more about factors of a quadratic equations here:

brainly.com/question/26675692

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