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kirill [66]
3 years ago
15

I enter the mall with 75 dollars. I spend a dollars at American Eagle, which is $4 more than the amount I spent at Banana Republ

ic. I also spent $15 less at American Eagle than I spent at Cole Haan. How much money do I have left after shopping at these three stores? (Answer in terms of a.)
Mathematics
1 answer:
monitta3 years ago
7 0
I believe you have to divide 15 from 75
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In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is
zheka24 [161]

Answer:

f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

Step-by-step explanation:

Let:

M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y

This is and exact equation, because:

\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}

So, define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)

The solution will be given by:

f(x,y)=C_1

Where C1 is an arbitrary constant

Integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y):

f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}

Substitute into \frac{\partial f(x,y)}{\partial y} =N(x,y)

2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y

Integrate \frac{dg(y)}{dy} with respect to y:

g(y)=\int\ {8y} \, dy =4y^2

Substitute g(y) into f(x,y):

f(x,y)=2x^2+4y^2+2xy

The solution is f(x,y)=C1

f(x,y)=2x^2+4y^2+2xy=C_1

Solving y using quadratic formula:

y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

4 0
3 years ago
Answer pls<br> 3278+32+3213+89321+31398
goldenfox [79]

Answer:

oop

Step-by-step explanation:

127247

sorry if wrong I kept getting notifications

3 0
3 years ago
Read 2 more answers
Three Friends all have ages that are consecutive integers. The sum of their ages is 48. What is the age of the oldest friend?
Reptile [31]
Consecutive integers = in this situation double-digit whole numbers So as there are 3 of them let's say 2 are 11 because that would be the highest consecutive number so 11+11= 22 and 48-22=26 so the three have the ages of 11,11,26 and the oldest would be 26 ;)
5 0
3 years ago
Anyone trying to help a girl out?
adoni [48]

Answer:

so it is a rectangle with a perimeter of 30 units

3 0
3 years ago
oshua tracks the points he scores in 10 basketball games. In two games Joshua scored 8 points each, in one game he scored 3 poin
Anna71 [15]
I believe the answer would be 4.2.

Add all the points together and divide by 10
3 0
3 years ago
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