Answer:
28 sixth graders will attend
Step-by-step explanation:
There are a total of 2,000 students in the school.
1.) There are 540 students in the 6th grade. 540 is only 27% of students compared to the total. To find the total students in the whole school, we divide 540 by 27%.
2.) We first change 27% into a decimal by moving the point two times to the left. (Rule to change the percent into a decimal)
27% = .27
3.) Before we divide, we remove the decimal by moving the decimal two times to the right and so do we to 540.
.27 = 27
540. = 54000.
4.) Now we have 54000 divided by 27 which give us the answer of 2,000.
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Answer: Domain: 0,1,2,3 and 4 and Range: 1,2,4,8 and 4
Step-by-step explanation:
The domain is the set of all inputs that makes the function definable. As we see the function looks like an exponential function which means the domain is all real numbers.
So the inputs are 0,1,2,3 and 4
the outputs are 1,2,4,8 and 4
Ans(a):
Given function is 
we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0
so let's solve
x+4≠0 for x
x≠0-4
x≠-4
Hence at x=4, function can't have solution.
Ans(b):
We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)
so we get:
g(x)=f(x)+4
We may simplify this equation but that is not compulsory.
Comparision:
Graph of g(x) will be just 4 unit upward than graph of f(x).
Ans(e):
To find value of x when g(x)=8, just plug g(x)=8 in previous equation
4x-3x=-1-16
x=-17
Hence final answer is x=-17
