X+y=8 3x+0.5y=10 what is the soultion to this system ?
1 answer:
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Answer: at the values where cos(x) = 0
Justification:
1) tan(x) = sin(x) / cos(x).
2) functions have vertical asymptotes at x = a if Limit of the function x approaches a is + or - infinity.
3) the limit of tan(x) approaches +/- infinity where cos(x) approaches 0.
Therefore, the grpah of y = tan(x) has asymptotes where cos(x) = 0.
You can see the asympotes at x = +/- π/2 on the attached graph. Remember that cos(x) approaches 0 when x approaches +/- (n+1) π/2, for any n ∈ N, so there are infinite asymptotes.
Justification:
1) tan(x) = sin(x) / cos(x).
2) functions have vertical asymptotes at x = a if Limit of the function x approaches a is + or - infinity.
3) the limit of tan(x) approaches +/- infinity where cos(x) approaches 0.
Therefore, the grpah of y = tan(x) has asymptotes where cos(x) = 0.
You can see the asympotes at x = +/- π/2 on the attached graph. Remember that cos(x) approaches 0 when x approaches +/- (n+1) π/2, for any n ∈ N, so there are infinite asymptotes.
Answer:
His wife gets $336 more than his son.
Step-by-step explanation:
Colin and Brian:
Ratio of 4:1.
So Colin gets of the prize.
Colin got $1680. Dividing between himself, his wife and their son:
Ratio of 2:5:3.
So Colin gets , his wife gets
and his son gets
Wife:
His wife got $840.
Son:
His son got $504.
How much more does his wife get over their son?
840 - 504 = 336
His wife gets $336 more than his son.