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WITCHER [35]
3 years ago
9

Write the formula for an exponential function with initial value 300 and decay factor 0.73

Mathematics
1 answer:
postnew [5]3 years ago
8 0

Answer: 300*0.73^x

Step-by-step explanation:

300 is the initial value and every time x goes up by 1, the value get multiplied by 0.73

when x=3

then the value would be 300*0.73*0.73*0.73 or 300*0.73^3

then for x amount of times the equation would be 300*(0.73 x times ) or 300*0.73^x

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Given: f(x) = 1/x+5 and g(x) = x - 2.
gavmur [86]

Answer:

The restriction of the domain of f(g(x)) is that x cannot be 3.

Step-by-step explanation:

The first step to solve this question is finding the function, replacing the values. So

f(x) = \frac{1}{x+5}

g(x) = x - 2

f(g(x)) = f(x - 2) = \frac{1}{x - 2 + 5} = \frac{1}{x - 3}

The function is a fraction, which means that the restriction is that the denominator cannot be zero. So

x - 3 \neq 0

x \neq 3

The restriction of the domain of f(g(x)) is that x cannot be 3.

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3 years ago
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3 years ago
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NikAS [45]

Answer:

12.6

Step-by-step explanation:

The answer is 12.6 and here is the explanation of using the Distributive Property. Because we are multiplying a whole number by a mixed number, we have to multiply the whole number by the whole number in the mixed number and then multiply the whole number by the fraction. In this case, we have 3 x 4 1/5. We multiply 3x4=12 first, and then we multiply 3x1/5 to get 0.6. 12+0.6=12.6. Hope it helps!

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3 years ago
An angle measures 130° less than the measure of its supplementary angle. What is the measure of each angle?
seropon [69]

Answer:

Angle one is 130 degrees and angle two is 50 degrees

Step-by-step explanation:

You can get this answer by knowing that supplementary angles equal 180 degrees in total. So if one angle is 130 degrees less you take that and subtract it from 180 to get 50 degrees as the second angle.

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