An Euler path, in a graph or multi graph, is a walk through the graph which uses every edge exactly once. An Euler circuit is an Euler path which starts and stops at the same vertex. Our goal is to find a quick way to check whether a graph (or multi graph) has an Euler path or circuit.
hope it helps
Answer:
Step-by-step explanation:
![log(3x + 1) - log(2x + 5) = 1 \\ \\ log \: \frac{3x + 1}{2x + 5} = log \: 10..( \because \: log \: 10 = 1) \\ \\ \frac{3x + 1}{2x + 5} = 10 \\ \\ 3x + 1 = 20x + 50 \\ 3x - 20x = 50 - 1 \\ \\ - 17x = 49 \\ \\ x = \frac{49}{ - 17} \\ \\ \huge \purple{ \boxed{x = - \frac{49}{17}}} \\](https://tex.z-dn.net/?f=log%283x%20%2B%201%29%20-%20log%282x%20%2B%205%29%20%3D%201%20%5C%5C%20%20%5C%5C%20log%20%20%5C%3A%20%5Cfrac%7B3x%20%2B%201%7D%7B2x%20%2B%205%7D%20%20%3D%20log%20%5C%3A%2010..%28%20%5Cbecause%20%5C%3A%20log%20%5C%3A%2010%20%3D%201%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B3x%20%2B%201%7D%7B2x%20%2B%205%7D%20%20%3D%2010%20%5C%5C%20%5C%5C%20%203x%20%2B%201%20%3D%2020x%20%2B%2050%20%5C%5C%203x%20-%2020x%20%3D%2050%20-%201%20%5C%5C%20%20%5C%5C%20%20-%2017x%20%3D%2049%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B49%7D%7B%20-%2017%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cpurple%7B%20%5Cboxed%7Bx%20%3D%20%20-%20%20%5Cfrac%7B49%7D%7B17%7D%7D%7D%20%20%5C%5C%20)
Answer:
m = 4
Step-by-step explanation:
Parallel means to have the same slope but different x- and y- intercepts
An example would be y = 4x + 6 and y = 4x - 2
So if the ratio is 2:3, then the younger child would represent the 2. so it would be 2:3 is 4:x. Thereby, the answer would be 6, because of proportions. To check, simplify 4:6, and you would get 2:3.