Answer:
-31/6
Step-by-step explanation:
77+2(3x-5)=8-3(2x+1)
77+6x-10=8-6x-3
77-10+6x=8-3-6x
67+6x=5-6x
67+6x-(-6x)=5
67+6x+6x=5
67+12x=5
12x=5-67
12x=-62
x=-62/12
simplify
x=-31/6
Answer:
10x-8=b
--------(over)
ax
Step-by-step explanation:
2 (5x-4) = ax +b
distrbute 2
10x-8=ax+b
divide each side by ax
10x-8=b
--------(over)
ax
I think
Answer:
Step-by-step explanation:
![\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B2%7D%7B4x%5E2%20%2B%205x%20%2B%201%7D%20%5C%20%5Ctimes%20%5C%20%5Cfrac%7B4x%2B1%7D%7Bx%5E2-4%7D%5C%5C%5C%5C%3D%5Cfrac%7Bx%2B2%7D%7B4x%5E2%20%2B%204x%20%20%2B%20x%20%2B%201%7D%20%5C%20%5Ctimes%20%5C%20%5Cfrac%7B4x%2B1%7D%7Bx%5E2-2%5E2%7D%5C%5C%5C%5C%3D%5Cfrac%7Bx%2B2%7D%7B4x%28x%20%2B%201%29%20%20%2B%201%28%20x%20%2B%201%29%7D%20%5C%20%5Ctimes%20%5C%20%5Cfrac%7B4x%2B1%7D%7B%28x%20-%202%29%28x%20%2B%202%29%7D%20%20%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5B%20%5C%20%28a%5E2%20-%20b%5E2%20%3D%20%28a-b%29%28a%2Bb%29%20%5C%20%5D%5C%5C%5C%5C%5C%5C%3D%5Cfrac%7Bx%2B2%7D%7B%284x%20%2B%201%29%28x%2B1%29%7D%20%5C%20%5Ctimes%20%5C%20%5Cfrac%7B4x%2B1%7D%7B%28x-2%29%28x%2B2%29%7D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B%28x%2B1%29%7D%20%5C%20%5Ctimes%20%5C%20%5Cfrac%7B1%7D%7B%28x-2%29%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B%28x%2B1%29%28x-2%29%7D)
Answer:
it takes longer for the boat to get back because it's moving against the current. to see how fast the boat is moving, you divide the amount of miles traveled, by how long it took.
240/20 = 12
in still water the boat travels it's 12 miles per hour
240/ 60 = 4
against the current, the boat travels 4 miles per hour
if you need to find the speed of the current, you need to find the resistance that's going against the boat making it slow down. you do that by doing 12 - 4 = 8 miles per hour is the speed of the current.
Step-by-step explanation:
I hope this helps :)
