Answer:
<u>The quotient is x -2</u>
Step-by-step explanation:
1. Let's simplify and find out the quotient of the following division:
(x^3+3x^2-4x-12) / (x^2+5x+6)
(x³ + 3x² - 4x - 12)/ (x² + 5x + 6)
(x + 2) (x² + x - 6) / (x + 2) (x + 3) ⇒ Factorizing on the numerator and the denominator
(x² + x - 6) / (x + 3) ⇒ Eliminating (x + 2) on the numerator and the denominator
(x + 3) (x - 2) / (x + 3) ⇒ Factorizing on the numerator
x - 2 ⇒ Eliminating (x + 3) on the numerator and the denominator
<u>The quotient is x -2</u>
First we distribute 3 into 2x and -4.
3 x 2x = 6x
3 x -4 = -12
That will make the left side of the equation:
6x - 12 = 5x + 2
Now we subtract 5x on both sides of the equation.
x - 12 = 2
Finally we add 12 on both sides of the equation.
x = 14 is the answer
Answer:
x=3+2s
Step-by-step explanation:
If Carly's age be considered as x and Carly's sister age be considered as s then
The expression is as follows
x=3+2s
First list all the factors of 12;
1, 2, 3, 4, 6, 12
now let's see which ones are multiples of 3;
3, 6, 12
so all we have left are numbers 1, 2 and 4.
hope that helps, God bless!
The answer is 4/15, because we have to get the denominaters to be the same, so the LCM of 5 and 15 is 15, so 15/5 is 3 and 4*3 is 12. Now, its 12/15-8/15 which is 4/15. Hope this helps!
