Answer: See below
Step-by-step explanation:
(f+g)(x) is another way for saying f(x)+g(x). Since we know f(x) and g(x), we can add them together.
-5x-4+(-3x-2) [distribute the 1 to (-3x-2)]
-5x-4-3x-2 [combine like terms]
-8x-6
(f+g)(x) is -8x-6. You can also factor this.
1. Factoring
-2(4x+3)
I actually I’m really confused sorry can’t answer
<h3>
Answer:</h3>
6 hours
<h3>
Step-by-step explanation:</h3>
The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.
That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.
The second hose alone can fill the vat in 6 hours.
_____
The first hose's rate of doing work is ...
... (1 vat)/(12 hours) = (1/12) vat/hour
If h is the second hose's rate of doing work, then working together their rate is ...
... (1/12 vat/hour) + h = (1/4 vat/hour)
... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour
... h = 1/6 vat/hour
so will take 6 hours to fill 1 vat.
