In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
f(x) = √3x
g(x) = √48x
(f . g)(x) = ?
Step 02:
(f . g)(x) :
![\text{ (f.g)(x) = }\sqrt[]{3(\sqrt[]{48x)}}](https://tex.z-dn.net/?f=%5Ctext%7B%20%20%20%20%20%20%20%20%20%20%28f.g%29%28x%29%20%3D%20%7D%5Csqrt%5B%5D%7B3%28%5Csqrt%5B%5D%7B48x%29%7D%7D)
![(f.g)(x)\text{ = }\sqrt[]{3(48x)^{\frac{1}{2}}}\text{ }](https://tex.z-dn.net/?f=%28f.g%29%28x%29%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B3%2848x%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%5Ctext%7B%20%7D)
(f.g)(x) = 12 √ x
The answer is:
(f.g)(x) = 12 √ x
Square root (x + 8) -6 = x
square root (x + 8) = x -6
x^2 + 16x + 64 = x^2 -12x + 36
28x = 48
x =
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1.7142857143
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None of the above
Answer:
121 smokers
Step-by-step explanation:
This can be calculated as a simple rule of 3.
In these problems, the first step is identifying the measures in the problem. Then, we must identify whether their relation is direct or inverse.
When it is direct, as one measure increases, the other will increase too.
When it is inverse, as one measure increases, the other will decrease.
In this problem, the measures are the number of people over 12 that smoke, and the total number of people over 12. Their relation is direct, because as the number of people increases, the number of smokers will increase too.
So we must solve the following rule of three:
22 smokers - 100 people
x smokers - 550 people
x = 550*22/100
x = 22*5.5
x = 121 smokers.
So, in a group off 550 people over the age of 12, there are 121 expected smokers.
Answer:
a) 
, b) 
, c) 
, d) 
Step-by-step explanation:
a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:
b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:
c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:
d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:
Answer:
$25 added to her account
Step-by-step explanation:
