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gavmur [86]
3 years ago
11

A table shows a proportional relationship where k is the constant of proportionality. The rows are then switched. How does the n

ew constant of proportionality relate to the original one?
Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

Read all of it it’s gonna help alot

Step-by-step explanation:

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Solve for c <br> c+d=15 <br> 3c+2d=36<br> WILL MARK BRAINLIEST AND MANY POINTS PLS ANSWER
klio [65]
C is 6 & d is 9

6+9=15
3(6)+2(9)=36
18 + 18 = 37
5 0
3 years ago
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Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti
Vikki [24]

Answer:

General Solution is y=x^{3}+cx^{2} and the particular solution is  y=x^{3}-\frac{1}{2}x^{2}

Step-by-step explanation:

x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}

This is a linear diffrential equation of type

\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)..................(i)

here p(x)=\frac{-2}{x}

q(x)=x^{2}

The solution of equation i is given by

y\times e^{\int p(x)dx}=\int  e^{\int p(x)dx}\times q(x)dx

we have e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}

Thus the solution becomes

\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+cy=x^{3}+cx^{2

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have 6=8+4c

Thus solving for c we get c = -1/2

Thus particular solution becomes

y=x^{3}-\frac{1}{2}x^{2}

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4 years ago
Please help the question in on a image down below
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The answer for this question is 8 km
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Which expression is equivalent to 9p+9p
mafiozo [28]

Answer:

18p? I don't know what other expressions could be equivalent. I just added 9p to 9p to get my answer.

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a chef has a recipe that calls for 4 cups of flour. She wants to make 3/4 of the recipe instead of determining directly how many
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She wants to use 3/4 of the recipe and 3/4 of a cup 4 times equals three cups. Three cups is 3/4 of 4 cups.
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