Equating the y's:-
3x + c = x^2 - 5x + 7
x^2 - 8x +7 - c = 0
If y = 3x + c is a tangent then there will be duplicate solutions to this equation
That is the discriminant b^2 - 4ac = 0. So we have:-
(-8)^2 - 4 * 1 * (7 -c) = 0
64 -28 + 4c = 0
4c = - 36
so c = -9 answer
Answer:
14
Step-by-step explanation:
From the given information:
suppose, Y is the number of times a coin is being flipped.
If the coin is flipped for the first time and we get H, then we have:
TTT = 
Afterward, if we get H, then we waste two times plus the probability of this event
.
Therefore, we have : 
Afterward, if we get H, then we waste three times plus the probability of this event
.
Therefore, we have : 
If we got T at the third time, then;
T = 
Thus, average number of headsthat you’ll see until gettingTTT can be expressed as:

= 14
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the answer would be 8.
2 times 8 = 16 minus 5 = 11
7
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