4(x + 2) - 1/2x = 22
4x + 8 - 1/2x = 22
3.5x + 8 = 22
-8 -8
3.5x = 14
/ 3.5 /3.5
x = 4
Answer:
g(x) = x+1
Step-by-step explanation:
Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...
h(x) = f(x+1) = f(g(x))
so
g(x) = x+1
_____
More formally, you can apply the inverse of the function f(x) to the equation ...
h(x) = f(g(x))
f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied
f^-1(h(x)) = g(x) . . . . . . . . . simplified
Now f^-1(x) can be found by solving for y in ...
x = f(y)
x = ∛(y+2) . . . . . . . . . definition of f(y)
x^3 = y+2 . . . . . . . . . cube both sides
x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides
So, f^-1(h(x)) is ...
f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2
g(x) = x+1
Answer:
Step-by-step explanation:
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Answer:
1) 1/17
2) 1/111
3) 1/15
They're all fractions
Hope that helped, just divide the result with the number available
Example :
1÷17 =1/17
Answer:
4 liters of 5% and 16 liters of 17.5%
Step-by-step explanation:
Let quantity of 5% be x liters and of 17.5% be y liters
x+y=20 hence y=20-x
Introducing percentages
0.05x+0.175(20-x)=0.15*20
0.05x+3.5-0.175x=3
-0.125x=-0.5
Therefore, y=20-x=20-4=16
You need 4 liters of 5% and 16 liters of 17.5% to achieve 20 liters of 15% acid solution
