Step-by-step explanation:
. Multiplying the denominator by
gives

Subtracting this from the numerator gives a remainder of

. Multiplying the denominator by
gives

and subtracting this from the previous remainder gives a new remainder of

This last remainder is exactly the same as the denominator, so
divides through it exactly and leaves us with 1.
What we showed here is that



and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:



which matches the original numerator.
Answer:
Subtract property of deviation becasue your subtracting 6y frrom both sides of the equation.
Step-by-step explanation:
1)Given: 12y - 40 - 4y = 6y - 18
2)Simplify by adding 12y + (-4y): 8y - 40 = 6y - 18
3)Subtract property of deviation: 8y -6y - 40 = 6y -6y - 18
2y - 40 = -18
<em>Hope this helped!</em>
Answer:5464
Step-by-step explanation:
Answer:
-7, -6, -5, -4, -3
Step-by-step explanation:
Given:
2x + 5 < 0
x > -8
Thus, we can combine both statements to find out integers that satisfy both inequalities.
2x + 5 < 0
Let's find x
2x < 0 - 5 (substraction property)
2x < -5
Divide both sides by 2
x < -5/2
This implies that -5/2 is greater than the set of values of x.
The second inequality, x > -8 implies that -8 is less than the value of x.
Les combine both:
-8 < x < -5/2
Therefore, the possible set of integers are whole numbers between the range of -8 and -5/2 which excludes -8 and -5/2.
Thus, they are:
-7, -6, -5, -4, -3