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Ad libitum [116K]

3 years ago

12

A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many

months has he been a member?

1 answer:

max2010maxim [7]3 years ago

3 0

Answer:

133= 12x +25 (subtract 25 from both sides to isolate the x-term)

108= 12x (divide by 12 on both sides to get x alone)

x= 9 months

Step-by-step explanation:

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Which ordered pair is a solution of the equation

andrew11 [14]

(0,-7)
-7=11(0)+4
-7=0+4
-7 is not 4 -----not a solution

(-1,-7)
-7=11(-1)+4
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(1,-7)
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(2,26)
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4 years ago

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Tpy6a [65]

Answer with Step-by-step explanation:

The given differential equation is

$(2x+5y)dx+(5x-4y)dy=0$

Now the above differential equation can be re-written as

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Checking for exactness we should have

$\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}$

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As we see that the 2 values are equal thus we conclude that the given differential equation is exact

The solution of exact differential equation is given by

$u(x,y)=\int P(x,y)dx+\phi(y)\\\\u(x,y)=\int (2x+5y)dx+\phi (y)\\\\u(x,y)=x^2+5xy+\phi (y)$

The value of $\phi (y)$ can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

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3 years ago

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