Answer: The domain of the function 
is:
Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)
Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }
All real numbers besides 0, 7, and -7.
Step-by-step explanation:
In order to find the domain of your rational function, we need to simplify it:
Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.
To find the domain, we equal the equations in the denominator to zero.
--> 
--> 
So all real numbers except for 0, -7, and 7 are in the domain of this rational function.
Answer:
let x adult and y student attended
x+y= 94
x=94-y
again
4x+2y = 294 53 adults and 41 student attended
376-4y+2y =294 the event
2y =82
y=41
substituting the value of y in
x+y =94
x= 94-41 = 53
Step-by-step explanation:
Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
The number that will be the sum of 994 and a 2 digit number is 1004 (option 3). Details about digits of numbers can be found below.
<h3>What is a 2-digit number?</h3>
A digit is the whole numbers from 0 to 9 and the arabic numerals representing them, which are combined to represent base-ten numbers.
A 2-digit number is any number between 10 and 99.
According to this question, 994 is said to be added to a 2 digit number to result into either 1001, 1002 or 1004.
- 1001 - 994 = 7 (1 digit)
- 1002 - 994 = 8 (1 digit)
- 1004 - 994 = 10 (2 digit)
Therefore, the number that will be the sum of 994 and a 2 digit number is 1004.
Learn more about number at: brainly.com/question/17429689
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Answer:
c
Step-by-step explanation:
reason for is because when you add all the like terms you end up with c
