The Domain of a function is described as the set of all the x values that a function can take.These are the allowable values of a function.
From the table we can see that the first column shows the x values for the function. So the set of all values will be the Domain of the function.
Hence the Domain is {-2, -1, 0, 1}
So, option B gives the correct answer
Answer:
114 degrees
Step-by-step explanation:
6x+12=3x+63
-3x -12 -3x -12
3x=51
x=17
6(17) +12 = 114
an equation<span> is a statement of an equality containing one or more variables</span>
Answer:
a 
b 
c 
Step-by-step explanation:
Given
--- number of times
--- faces of a coin
First, is to determine the sample size.
This is calculated as:



Solving (a): First and last slip is head
This event is represented as:

The probability is calculated as:


b) At least 2 consecutive flips that is heads.
This event is represented as:

The probability is calculated as:


c) First is tail and at least 2 consecutive flips is head.
This event is represented as:

The probability is calculated as:


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Answer: 
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Given: 
Find: 
Solution: In order to determine the length of x we need to use some trigonometric functions. Using Soh Cah Toa we can see that we can either use 30 degrees or 60 degrees. We will stick to 60 and we can see that the opposite side is 3 and the hypotenuse is x meaning that we need to use sin. Plug in the values and solve for the unknown.
<u>Plug in the values</u>
<u>Multiply both sides by x</u>
<u>Divide both sides by sin(30)</u>
<u>Simplify</u>
Therefore, the value of the unknown variable x is 6 units.