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sweet-ann [11.9K]
3 years ago
8

Bobby is making a cake. The recipe calls for

Mathematics
1 answer:
Ganezh [65]3 years ago
8 0

Answer:is there any picture?

Step-by-step explanation:

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Find the inverse of the function: f(x)= 2x-3/x+1
den301095 [7]
f(x)=\frac{2x-3}{x+1}\\\\
y=\frac{2x-3}{x+1}\\\\
y(x+1)=2x-3\\\\yx+y=2x-3\\\\yx-2x=-3-y\\\\x(y-2)=-3-y\\\\
x=\frac{-3-y}{y-2}\\\\
f(x)=\frac{-3-y}{y-2}
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3 years ago
4m + 2m = 48<br><br> Please help &amp; explain how you got to the answer
Wewaii [24]
Combine like terms

4m+ 2m= 6m

6m=48
divide both sides by 6
m=8
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4 years ago
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Step-by-step explanation:

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3 years ago
A Bernoulli differential equation is one of the form dxdy+P(x)y=Q(x)yn Observe that, if n=0 or 1, the Bernoulli equation is line
aleksandr82 [10.1K]

It's unclear whether the ODE is

xy'+y=4xy^2

or

xy+y'=4xy^2

If the first case, then divide through both sides by y^2 to get

xy^{-2}y'+y^{-1}=4x

then substitute z=y^{-1}, so that z'=-y^{-2}y'. Then

-xz'+z=4x\implies-\dfrac1xz'+\dfrac1{x^2}z=\left(-\dfrac1xz\right)'=\dfrac4x

\implies-\dfrac1xz=\displaystyle\int\frac4x\,\mathrm dx

\implies z=-4x\ln|x|+Cx

\implies\boxed{y=\dfrac1{Cx-4x\ln|x|}}

If the second, then dividing through by y^2 gives

xy^{-1}+y^{-2}y'=4x

The same substitution as before gives

xz-z'=4x\implies e^{-x^2/2}z'-xe^{-x^2/2}z=\left(e^{-x^2/2}z\right)'=-4xe^{-x^2/2}

\implies e^{-x^2/2}z=\displaystyle-4\int xe^{-x^2/2}\,\mathrm dx

\implies z=4+Ce^{x^2/2}

\implies\boxed{y=\dfrac1{4+Ce^{x^2/2}}}

5 0
3 years ago
What is 162,810.75 rounded to the nearest whole number?
Maurinko [17]

Answer:

162,811

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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