Answers:
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
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Explanation:
Here are all the ways to multiply to 18 when using integers only:
- -1*(-18) = 18
- -2*(-9) = 18
- -3*(-6) = 18
- 1*18 = 18
- 2*9 = 18
- 3*6 = 18
Sum each pair of factors to find out a possible value of b.
- -1 + (-18) = -19
- -2 + (-9) = -11
- -3 + (-6) = -9
- 1 + 18 = 19
- 2 + 9 = 11
- 3 + 6 = 9
Therefore, the possible values of b are
- b = -19
- b = -11
- b = -9
- b = 19
- b = 11
- b = 9
which are the final answers.
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An example:
Let's say b = 11. This would mean 
becomes 
It would factor to 
since it was stated earlier that:
2+9 = 11
2 * 9 = 18
You can use the FOIL rule, distributive property, or the box method to confirm that 
is a true equation for all real numbers x.
This same idea applies for the other values of b.
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If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)
Use the FOIL rule to get 
The middle term 
has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).
Answer:
<em>n = 8 or n = −2</em> <em>is the correction solution.</em>
Step-by-step explanation:
As the absolute value equation is given:
| n−3 | = 5
We know either n − 3 = 5 or n − 3 = −5
n − 3 = 5 (First Possibility)
n − 3 + 3 = 5 + 3
n = 8
n − 3 = -5 (Second Possibility)
n = -5 + 3
n = -2
<em> So, n = 8 or n = −2</em> <em>is the correction solution.</em>
<em>Keywords: absolute value equation</em>
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Answer:
a 4
b 3
c 9
d 4
Step-by-step explanation:
id.k
36 85
X 100
3600 = 85x
3600 divided by 85 =42.3529...
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
