Answer:
Assume we want to find the solution to this system of equations.
The solution is<u> (2,-2)</u>
Step-by-step explanation:
We can find the solution either mathematically or by graphing. I'll do both.
<u>Math:</u>
Rearrange:
-2x-6y=8
-6y=8 +2x
y = -(1/3)x -(4/3)
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Now use this expression of y in the second equation:
-6x-6y=0
-6x-6(-(1/3)x -(4/3)) =0
-6x + 2x +8 =0
-4x = - 8
x = 2
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Use x = 2 in the first equation to find y:
y = -(1/3)x -(4/3)
y = -(1/3)*(2) -(4/3)
y = -(2/3) -(4/3)
y = -(6/3) or -2
The solution is (2,-2)
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<u>Graphing:</u>
See attached graph.
Answer:
Step-by-step explanation:
Fixed monthly fee = $20
Amount charged per minute for long distance calls = $0.20
denotes total cost such that
minutes are used for long distance calls.
Amount charged for minutes for long distance calls
Therefore, an equation for the total cost, C, when N minutes are used for long distance calls is
Answer:
See below
Step-by-step explanation:
Alex finally understands how Bob was trying to trick him into winning the bet because of how he puts in the condition for probability being less than 10%. Whichever way the outcome of the coin toss turns out to be, it will be in Bob's favor and Alex will lose the bet. If the coin is flipped 3 times, the probability of having heads exactly twice is