<h3>
Answer: x = 7/3</h3>
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Explanation:
Fractions are a pain to deal with, so whenever possible I recommend you eliminate them. With equations like this, you can multiply both sides by the same number to do so. The question is: which number would that be?
If you pick on the LCD, then you'll be able to clear out the fractions. The LCD of 1/2, 1/3, and 5/6 is 6 since the LCM of the denominators is 6.
Multiply both sides by 6 to get
(1/2)x - 1/3 = 5/6
6*[ (1/2)x - 1/3 ] = 6(5/6)
6*(1/2)x - 6*(1/3) = 6(5/6)
3x - 2 = 5
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At this point, the fractions are gone. We can now solve like so
3x-2 = 5
3x-2+2 = 5+2 ... adding 2 to both sides
3x = 7
3x/3 = 7/3 .... dividing both sides by 3
x = 7/3
Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72
I think it is <span>A. by adding 2x to both sides of the equation and then simplify but this might be wrong >-<</span>
Answer:
multiply 4 and 8 to get 32
Step-by-step explanation:
After substituting, the expression is ...
4·8 +9/7
The order of operations tells you to do multiplication and division before addition and subtraction. You do them left-to-right. The multiplication on the left is 4·8, so you do that first. The result is ...
32 + 9/7
Now, you can do the division:
32 + (1 2/7)
And, finally, the addition:
33 2/7
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Or, you could skip the division and go straight to adding a whole number and a fraction:
(32·7 +9)/7 = (224+9)/7 = 233/7
1 year = 12 months
3 years = 36 moths
Yvette's brother is 36 months old and Fred's is 30 months old. Yvette's brother is 6 moths older than Fred's brother.