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GarryVolchara [31]

3 years ago

9

There were 10 bunches of roses and tulips. Each bunch had 5 of the same flowers. There were 2 more bunches of tulips than roses.

How many tulips were there?

1 answer:

____ [38]3 years ago

6 0

Answer:

7

Step-by-step explanation:

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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

HELP PLEASE 50 POINTS

Dmitrij [34]

Answer:

Function B has a greater rate of change

Step-by-step explanation:

to find the rate of change or slope

Function A

(0,2) (3,5)

m =(y2-y1)/(x2-x1)

= (5-2)/(3-0)

= 3/3

m=1

Function B

m =(y2-y1)/(x2-x1)

= (9-6)/(6-4)

= 3/2

= 1.5

Function B has a greater rate of change

4 0

3 years ago

Read 2 more answers

What kind of exponent does this graph have? Help pls ?

otez555 [7]

It’s 42 but Carrier the 2

4 0

3 years ago

Give an example of two numbers that are both 6-digit numbers,but the greater number is Determined by the hundreds place

VMariaS [17]

perhaps 300,900 and 300,400 ?

5 0

3 years ago

I need help and NOW PLEASE

mixas84 [53]

Answer:

a) 7/4 b) 15/2

Step-by-step explanation:

a) Scale Factor = Image / Object

Take the side of Triangle ABC that's BC Why? Because it corresponds with the Image Triangle ADE's DE

= 21/12 = 7/4

b) 7/4 = 10+ x / 10

Cross Multiply

= 4 ( 10 + x ) = 70

= 40 + 4x = 70

= 4x = 70-40

= 4x = 30

= 4x/4 = 30/4

x = 15/2

3 0

3 years ago