Answer:
-5 ≤ n ≤ 3
Step-by-step explanation:
Firstly we solve the equation two at a time;
5n + 17 ≥ n - 3
5n - n ≥ -3 - 17
4n ≥ -20
n ≥ -5
-5 ≤ n
n - 3 ≥ -15 + 5n
n - 5n ≥ -15 + 3
-4n ≥ -12
-n ≥ -3
n ≤ 3
Therefore,
5n+17 ≥ n–3 ≥ –15+5n, becomes
-5 ≤ n ≤ 3
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)
So let's find the unit rate of these.
18 mi/ 2 hrs = 9 mi/ 1hr
45 mi / 5 hrs = 9 mi/ 1 hr
So you are running 9 miles an hour.
If you have any questions please comment! :)
P = 2d
d = 2n.....n = 1/2d
q = d - 3
since dimes is mentioned in relation to quarters, pennies, and the nickels, u would use d as ur variable
ur expression would be : d + (2d) + (1/2d) + (d - 3) = total amount of coins...then u would solve for d, the number of dimes. And once u know that, u can sub that answer back into ur original equations to find the number of pennies, quarters and nickels
The answer to this question is
1. d
2.c
3.a
4.b