Domain: The set of all real numbers
We can plug in any x value we want and there aren't any restrictions. There aren't any holes, jumps, gaps, or asymptotes
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Range: Only one value is in the range and it is the value 2. We can write this as {2}. The curly brackets indicate "set". It is possible to have a set of only 1 item inside.
The range is the set of y value outputs. In this case, the output is 2 because we have a horizontal line. No matter what the x input is, the output is always 2. This is known as a constant function. The output is constantly the same.
Hey!
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Solution:
77.50 = 0.15x + 10
77.50 - 10 + 0.15x + 10 - 10
67.50 = 0.15x
0.15x = 67.50
0.15x/0.15 = 67.50/0.015
x = 450
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Check:
77.50 = 0.15(450) + 10
77.50 = 67.50 + 10
77.50 = 77.50
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Answer:
450 text messages can be sent when the monthly charge is $77.50!
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Hope This Helped! Good Luck!
The function f(t) = 7 cos(pi over 4t) + 12 represents the tide in Light Sea. It has a maximum of 19 feet when time (t) is 0 and a minimum of 5 feet. The sea repeats this cycle every 8 hours
To find the height of the tide after 2 hours, we plug in 2 for t and find out f(2)



We know that cos (pi/2) is 0

So f(2)= 12
After two hours, the height of the tide is 12 feet
Of course you already know everything parallel sides are equals
therefore the value of each variables will be as following :
left side = right side
3y-6=24
3y=24+6
3y=30
y=30/3
y=10
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5x+2=12
5x=12-2
5x=10
x=10/5
x=2
Answer:
y=140,000
Step-by-step explanation:
35,000x4=140,000