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Marina CMI [18]
3 years ago
5

Solve b=y-my for y.

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

y = \frac{b}{1-m}

Step-by-step explanation:

In order to get <em>y</em> by itself, we need to pull <em>y</em> out of 1 and <em>m </em>on the right side.

b = y(1 - m) since y(1 - m) is the same as y - my.

Once we have pulled <em>y</em> out of 1 and m, we can divide both sides by 1 - m

\frac{b}{1 - m} = \frac{y(1 - m)}{1 - m}

We can cancel out the 1 - m on the right side since (1 - m) / (1 - m) = 1

Finally we get our answer:

\frac{b}{1-m} = y

This is the same as y = \frac{b}{1-m}

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Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series for the binomial (1+3x)^(-1
PolarNik [594]

Answer:

First term=1

Second term=-x

Third term=2x^2

Fourth term =-\frac{28}{3!}x^3

Step-by-step explanation:

We are given that function

f(x)=(1+3x)^{-1/3}

We have to find the  first four non zero terms of the Maclaurin series for the binomial.

Maclaurin series of function f(x) is given by

f(x)=f(0)+f'(0)x+\frac{1}{2!}f''(0)x^2+\frac{1}{3!}f'''(0)x^3+....

f(0)=(1+3x)^{\frac{-1}{3}}=1

f'(x)=-\frac{1}{3}(1+3x)^{-\frac{4}{3}}(3)=-(1+3x)^{-\frac{4}{3}}

f'(0)=-1

f''(x)=\frac{4}{3}\times 3 (1+3x)^{-\frac{7}{3}}

f''(0)=4

f'''(x)=-4\times \frac{7}{3}\times 3(1+3x)^{-\frac{10}{3}}

f'''(0)=-28

Substitute the values we get

(1+3x)^{-\frac{1}{3}}=1-x+\frac{4}{2!}x^2+\frac{-28}{3!}x^3+...

(1+3x)^{-\frac{1}{3}}=1-x+2x^2+\frac{-28}{3!}x^3+...

First term=1

Second term=-x

Third term=2x^2

Fourth term =-\frac{28}{3!}x^3

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3 years ago
one serving of oatmeal provides 16% of fiber you need daily. you must get the remaining 21 grams of fiber from other resources.
stira [4]
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What is the prime factorization of 56?
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2x2x2x7 is the correct answer
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Part D
Readme [11.4K]

Answer:

The equation for the profit made on the car wash is y = 5x – 75. Here, y is the profit made and x is the number of cars washed. So if the team washes 0 cars, x will be 0.

y = 5(0) – 75

y = -75

The point that represents this is (0, -75). Here, the value of the y-coordinate of the point is -75. Since it has a negative sign, it means that instead of making a profit, the team suffers a loss. So, if the baseball team washed no cars, it would lose $75.

Step-by-step explanation:

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a bookshelf holds 4 different biographies and 5 different novels. How many ways can one book of each type be selected?
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