Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)
The number of grams is 20 grams
Let x represent how many grams of a 15 percent alcohol solution
15%x+30%.40/x+40
=25%
0.15x+0.4.30=0.25 (x+40)
0.15x+12=0.25x+10
0.15x-0.25x=10+12
-0.1x=-2
x=-2/-0.1
x=20
Inconclusion The number of grams is 20 grams
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brainly.com/question/24750329
To write an equation you need a slop and y intercept. To find the slop use the formula y2-y1 /x2-x1. and for the y intercept use the formula y=mx+b
Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble 
= 12.3 gm
Velocity of 
before collision 
= 15.5 cm/s
Velocity of after collision 
= 77.5 cm/s
Marble 2:
Mass of the marble 
= 24.6 gm
Velocity of 
before collision 
= 62 cm/s
Velocity of after collision 
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒ 
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
⇒ 
...subtracting both sides 953.25
⇒ 
⇒ 
...dividing both sides with 24.6
⇒ 
⇒ 
cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.
Answer: im just going to guess 35 degrees
Step-by-step explanation:
