Answer: 3/2x - 3 = y
Step-by-step explanation:
3x - 2y = 6
+2y = +2y
3x = 6 + 2y
-6 = -6
3x-6 = 2y
/2 = /2
3/2X - 6/2 = y
3/2x - 3 = y
Answer:
L = 4.103
Step-by-step explanation:
we have length of curve
![L = \int\limits^b_a {\sqrt{(f'(x))²+1} } \, dx](https://tex.z-dn.net/?f=%20L%20%3D%20%5Cint%5Climits%5Eb_a%20%7B%5Csqrt%7B%28f%27%28x%29%29%C2%B2%2B1%7D%20%7D%20%5C%2C%20dx%20)
where ![f(x) = d/dx(3*in(x)) = 3/x](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20d%2Fdx%283%2Ain%28x%29%29%20%3D%203%2Fx%20)
substituting for f(x), we have ![L = \int\limits^5_2 {\sqrt{(3/x)²+1} } \, dx](https://tex.z-dn.net/?f=%20L%20%3D%20%5Cint%5Climits%5E5_2%20%7B%5Csqrt%7B%283%2Fx%29%C2%B2%2B1%7D%20%7D%20%5C%2C%20dx%20)
(since the limit is 2≤ x ≤5)
solving, ![L = \int\limits^5_2 {\sqrt{9/x²+1} } \, dx](https://tex.z-dn.net/?f=%20L%20%3D%20%5Cint%5Climits%5E5_2%20%7B%5Csqrt%7B9%2Fx%C2%B2%2B1%7D%20%7D%20%5C%2C%20dx%20)
Simplifying this integral, we have
L = 4.10321
Each notebook would be 68 cents because if you divide 15.85 into 3 you will get 2 cents then you add 1.23 then subtract .75
Answer:
8 units left , 5 units up
Step-by-step explanation: