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Alona [7]
3 years ago
14

SDAY: ve the equation: 5x – 2(x + 7) = -5

Mathematics
1 answer:
pogonyaev3 years ago
5 0

5x – 2(x + 7) = -5

mutiply the bracket by -2

(-2)(x)= -2x

(-2)(7)= -14

5x-2x-14=-5

3x-14= -5

move -14 to the other side, sign changes from -14 to +14

3x-14+14= -5+14

3x= 9

divide by 3 for both sides

3x/3= 9/3

x= 3

Answer: x= 3

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<em>The function is of an exponential growth type</em>

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<u>Exponential Function</u>

The expression of an exponential function is

f(x)=c.a^{bx}

For a,b,c constants.

1.

The function will be of an exponential growth type if, when x increases, f increases. That behavior comes from the combination of the three constants a,b,c. The best approach to find that out is by taking the first derivative

f'(x)=b.c.lna.a^{bx}

Since a^{bx} is always positive, the product of b.c.lna must be positive to make f increasing. For example, if a>1 and both b and c are of the same sign, f increases for all x. If 0<a<1, then, since lna<0, the product b.c must be negative, i.e. both should have different signs

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Talking about rates change of real functions takes us to the derivative function. We have already seen the derivative is dependent on all three constants and also of the value of x, so it cannot be predicted as a fixed percentage.

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