Answer:
(x = -6), (y = -6)
(-6,-6)
Step-by-step explanation:
X=-6
3x - 2y = -6
3(-6) - 2y = -6
-18 - 2y = -6
What you do to one side, you do to the other. And when you take it over to the other side, you'll have to turn -18 into a positive 18.
-2y = 18 - 6
-2y = 12
Divide both sides by -2
y = -6
Answer:
Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
![\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20%5Cint_a%5Ex%20f%28t%29%5C%2C%20dt%20%20%5Cright%5D%20%3D%20f%28x%29)
Where <em>a</em> is some constant.
We can let:
By substitution:
Taking the derivative of both sides results in:
![\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20g%27%28s%29%20%3D%20%5Cfrac%7Bd%7D%7Bds%7D%5Cleft%5B%20%5Cint_6%5Es%20g%28t%29%5C%2C%20dt%5Cright%5D)
Hence, by the Fundamental Theorem:
Answer:
Step-by-step explanation:
Both teachers and children are people. If there were 4 teachers and 9 children already at the table, sitting down, when Jim arrived, then that would be 13 people at the table before he sit and 14 people after he sits.
