Brackets Exponents Divide Multiply Addition Subtract (order of math operations)
1/2x+20=1/3x+30
Subtract 20 on both sides
1/2x=1/3x+10
Subtract 1/3x on both sides
1/6x=10
Multiply by 6 on both sides
X=60
Answer: The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
Step-by-step explanation:
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
A) If we assume the service charges are a one-time charge, we can let x represent the number of days of rental and a(x) and b(x) the charges for company A and company B, respectively. We are given the initial value and the rate per day in each case, so we can simply write down the equations:
... a(x) = 15 + 35x
... b(x) = 10 + 42x
B) Company A charges less for any rental lasting 1 day or longer. The total for the 1st day (50 vs 52) is less, and the rate per day is less for company A.
C) The difference in cost is ...
... b(x) - a(x) = (10 +42x) -(15 +35x) = 7x -5
so for 10 days, company A costs 7·10 -5 = 65 dollars less
The value of cos 2x is 119/169 after applying the trigonometric identity cos2x = 1 - 2sin²x option second is correct.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given:
sinx = -5/13
and cosx > 0
We know,
cos2x = 1 - 2sin²x
sinx = -5/13
Squaring on both sides:
sin²x = 25/169
Multiply by 2 on both the sides:
2sin²x = 2(25/169)
Add -1 on both sides:
-1 + 2sin²x = -1 + 2(25/169)
or
1 - 2sin²x = 1 - 2(25/169)
cos2x = 1 - 50/169
cos2x = 119/169 (as the cosx > 0)
Thus, the value of cos 2x is 119/169 after applying the trigonometric identity cos2x = 1 - 2sin²x option second is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
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