The range of the given function is represented by {-6,-4,2}.
<h3>Domain and Range</h3>
The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
Here, you need to replace the given domain values in the equation: f(x)=x-4. The question gives that the domain is represented by: -2 ,0 ,2 .
Thus,
For x=-2, you have:
f(x)= x-4
f(x)= -2-4
f(x)= -6
For x=0, you have:
f(x)= 0-4
f(x)= 0-4
f(x)= -4
For x=2, you have:
f(x)= x-4
f(x)= 2-4
f(x)= -2
Therefore, the range of the given function is {-6,-4,2}
Learn more about the range here:
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Answer:
26
75
37
82
145
34
Step-by-step explanation:
Hypotenuse of a right angle triangle from pythagoras theorem is given by
h²=b²+a²
Making h the subject
h=√(b²+a²)
Where h is hypotenuse, b is base and a is the other side of a triangle
10²+24²=676
√676=26 units
72²+21²=5625
√5625=75 units
12²+35²=1369
√1369=37 units
18²+80²=6724
√6724=82 units
105²+100²=21025
√21025=145 units
16²+30²=1156
√1156=34 units
I believe
30% is bigger than

.
To find the answer, you'd have to convert both the fraction and the percent into decimal form to see which one is truly bigger. Converting the percent is fairly easy. 30% would become 0.30 is decimal form. To find the fraction in decimal form, you'd have to divide the numerator by the denominator, which would be
4 ÷ 15, which makes :
2.6666666666666666666666667.
Now you compare easily. Which one is bigger?
2.666666666666666666666667 or
0.30?
0.30 is bigger. So 30% is bigger out of both of them.