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weekly income y:
y = 10x
where x is number of hours worked per week
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domain: x >= 0 hours
range: y >= 0 dollars
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Answer:
Q1: B. UHWXUQV
Q2: None of these answers equal 12 so I'll just tell you the answers for all of them in case you mistyped.
a. 66
b. 82
c. 120
d. 109
Im assuming you meant 120. If so, your answer is c.
I believe y=-x+8 cause you would take the 2 then subtract it to the 16 for it to turn into 2y=-2x+16 then you take the 2y and divide
This revolves around exact trig values - no easy way to say this, you just need to memorise them. They are there for sin cos and tan, but I will give you the main tan ones below - note this is RADIANS (always work in them when you can, everything is better):
tan0: 0
tanpi/6: 1/sqrt(3)
tanpi/4: 1
tanpi/3: sqrt(3)
tanpi/2: undefined
Now we just need to equate -2pi/3 to something we understand. 2pi/3 is 1/3 of the way round a circle, so -2pi/3 is 1/3 of the way round the circle going backwards (anticlockwise), so on a diagram we already know it's in the third quadrant of the circle (somewhere between pi and 3pi/2 rads).
We also know it is pi/3 away from pi, so we are looking at sqrt(3) or -sqrt(3) because of those exact values.
Now we just need to work out if it's positive or negative. You can look up a graph of tan and it'll show that the graph intercepts y at (0,0) and has a period of pi rads. Therefore between pi and 3pi/2 rads, the values of tan are positive. Therefore, this gives us our answer of sqrt(3).
Answer:
The letters I and S are more likely to come out of the bag because they are repeated twice in the word.
