Answer:
12
Step-by-step explanation:
The number of Grade 6 students were asked in total is 100 students.
<h3>How to calculate the value?</h3>
Let the number of students who choose Natural History be x.
Since the number of students who chose the Museum of Math was 50 more than the number of students who chose the Museum of Natural History. This will be x + 50
The ratio of students who chose the Museum of Math to students who chose the Museum of Natural History was 3 to 1. The expression will be illustrated thus:
1/3 = x/x+50
Cross multiply
3x = x + 50
Collect like terms
3x - x = 50.
2x = 50
Divide
x = 50/2
x = 25
Also, x + 50 = 25 + 50 = 75
The number of Grade 6 students that were asked will be:
= 25 + 75
= 100
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I'm pretty sure that this is a trick question, the answer is 61%.
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
