Answer:
-2 ≤ x ≤ 6
Step-by-step explanation:
The first is ...
6 ≥ x
and it can also be written as ...
x ≤ 6
The second is
-2 ≤ x
The two inequalities can be combined into one compound inequality:
-2 ≤ x ≤ 6
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I prefer the answer in this form because it puts the parts of the expression in the same order that they appear on a number line. It can also be written as ...
6 ≥ x ≥ -2
Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
Answer: 8 hrs and 3/4 of an hour (three quarters)
Step-by-step explanation:
the same logic such as a quarter of an hour
For the first one, the range is the largest number minus the smallest number. The largest number in this case is 11 and the smallest is 4. 11 - 4 = 7 so the maximum range is 7 inches.
For the second one, the IQR is Q3 - Q1. This means 30 - 20 = IQR and 30 - 20 is 10 books.
And the last one asks for dinner customers, and there are 54 total. 28 of them chose cheesecake as their favorite dessert. This means that the amount of dinner customers that chose cheesecake as their favorite is 28/54 or 0.5185, whihc is 51.85%
Hope this helps!!
In this you have to do 6(total) /(Divided) 2/3. And when you do 6/(2/3) you also have to do KCF(keep, change, flip) and that brings you to 18/2 after multiplying across. So the answer would be 9 people.
