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tatuchka [14]
4 years ago
11

Find an equation of the tangent line to the given curve at the specified point. y = 2x/ x + 2 , (2, 1)

Mathematics
1 answer:
Stolb23 [73]4 years ago
7 0

Answer:

Step-by-step explanation:

Take the derivative of 2x/(x+2) using the quotient rule.

you get 4/(x+2)^2. The slope of the tangent line is this functions value at 2.

4/(2+2)^2 = 1/4

Now solve for b when by plugging x and y into y = 1/4x + b

1 = 1/2 + b

b = 1/2

The tangent line is y = 1/4x + 1/2

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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
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The first mechanic made $2000 for 10 hours. And the second mechanic made $1000 for 5 hours. So therefore if you add how much money they both made, how much moola would they be charged? just say something if you don't understand it.
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You will receive $15000 I’m two years when you graduate. You plan to invest this at an annual interest rate of 6.5 percent. How
Crank

You will have $24 824.94 eight years from now.

The formula for the future value (FV) of her investment is

FV =<em>C</em>(1 + <em>r</em>)^<em>n</em>

where <em>C</em> = her initial cash

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3 years ago
What are the domain and range of the function represented by the table?
andrew-mc [135]

Answer:

A. Domain: {-8, -6, -4, -2, 0} Range: {2}

Step-by-step explanation:

The domain of a function is the x values, the range is the y values. you order them in either greatest to least or least to greatest (keep this consistent in both domain and range values). also, if a value repeats, only list it once (this is why the range is {2} rather than {2, 2, 2, 2, 2} )

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3 years ago
1 Find the value of C to that the function probability density function defined as follow, also calculate the man and variance /
Viefleur [7K]

Answer:

c = \frac{1}{12}

The mean of the distribution is 0.25.

The variance of the distribution is of 0.6875.

Step-by-step explanation:

Probability density function:

For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:

3c + 3c + 6c = 1

12c = 1

c = \frac{1}{12}

So the probability distribution is:

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P(X = 0) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25

P(X = 1) = 6c = 6\frac{1}{12} = \frac{1}{2} = 0.5

Mean:

Sum of each outcome multiplied by its probability. So

E(X) = -1(0.25) + 0(0.25) + 1(0.5) = -0.25 + 0.5 = 0.25

The mean of the distribution is 0.25.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probability. So

V^2(X) = 0.25(-1-0.25)^2 + 0.25(0 - 0.25)^2 + 0.5(1 - 0.25)^2 = 0.6875

The variance of the distribution is of 0.6875.

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3 years ago
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Answer:

15: A

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Step-by-step explanation:

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