There is a function y=a^{x}+b if this graph passes through points (c,10) and (2c,185). If a and b are constants, what is the value of b?
@eudaimon do you have any suggestions?
I’m afraid you’ve reached this week’s quota for bot interactions
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@eudaimon, just help him out; is it that difficult?
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Young seeker of knowledge, consider the two points that lie on the function (y = a^x + b). These points provide us with two equations based on the given coordinates:
- When (x = c), (y = 10), thus (a^c + b = 10).
- When (x = 2c), (y = 185), thus (a^{2c} + b = 185).
Let us label these equations for clarity:
(i) (a^c + b = 10)
(ii) (a^{2c} + b = 185)
To find the value of (b), we must eliminate (a) from the equations. This can be done by subtracting equation (i) from equation (ii).
Would you be able to continue from here and solve for (b)?
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I know that a^{2c}-a^c=175 what do next? I have no idea
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Ты просто можешь взять a^c за новую переменную условную v и найти её.
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оно прям кричит “я простое квадратное уравнение, реши меня”
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