Answer:
4*(x+y)=20
Step-by-step explanation:
sum means add all together. and sum of a number means number added all together.
Answer:
the slope is -1/2 while the y-intercept is 80
Step-by-step explanation:
Let x be the time in minute and y be the water in the gallon.
From the question, the water flows at a rate of 1 gallon every 2 minutes, which implies that, the rate of change is the slope = 1/2.
The tank has a leak i.e The water flows out from the tank. Since the water flows out of the scope,it implies that the scope = -1/2. y- intercept is the initial amount of water in the tank which is 80.
We have
f(x) = 1/x+5,
g(x) = 5x+1/x -------> (5x²+1)/x
<span>
1) find the f(g(x))
</span>f(g(x))=(1/(5x²+1)/x) +5---- > (x/(5x²+1)) +5---->(x+5*(5x²+1))/(5x²+1)
(x+25x²+5)/(5x²+1)---------- > (25x²+x+5)/(5x²+1)
f(g(x))= (25x²+x+5)/(5x²+1)--------> is not x
therefore
<span>f(x) and g(x) are not inverses of each other
</span>the domain of the composition f(g(x)) is (-∞,∞)
2) find the g(f(x))
g(f(x))=(5(1/x+5,)²+1)/(1/x+5,)------- > (5/x²)+(10/x)+25+(x/(5x+1))
[5*(5x+1)+10x*(5x+1)+25x²*(5x+1)+x³]/[x²*(5x+1)]
the domain of the composition g(f(x)) is (-∞, -1/5) U (-1/5,0) U (0,∞)
Answer:
-0.5
Step-by-step explanation:
-4.7+4.2 = -0.5
4(a + 10) = 80
4a + 40 = 80
4a + 40 - 40 = 80 - 40
4a = 40
4a/4 = 40/4
a = 10