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Anastasy [175]
3 years ago
12

What is the value of the expression 6m + m - 4(-2m + 1 - m) when m = -8

Mathematics
1 answer:
dem82 [27]3 years ago
5 0
6(-8) + (-8) -4(-2(-8)+1-(-8))
-48 -8 -4(16+1+8)
-48 -8 -4(25)
-48-8-100
-156
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If x^2-x-6 and x^2+3x-18 hacpve a common factor (x-a) then find the value of a.​
DedPeter [7]

Answer:

a = 3

Step-by-step explanation:

Factor both expressions

x² - x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are - 3 and + 2 , since

- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus

x² - x - 6 = (x - 3)(x + 2)

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x² + 3x - 18

consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , thus

x² + 3x - 18 = (x + 6)(x - 3)

Both expressions have a common factor of (x - 3)

Compare with (x - a ), then a = 3

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2 years ago
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3 years ago
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8 times the sum of a number and 26 is less than 304.
Jlenok [28]

Answer:

x < 12

Step-by-step explanation:

So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:

8(x+26) < 304

Lets start to solve for x by dividing by 8, giving us:

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Now lets isolate x by subtracting 26 from both sides, which gives us our answer:

x < 12

So x is less than 12.

Hope this helps!

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mylen [45]

I think B. 3,6,12,24 is the answer

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