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3 years ago

15

One pot and blue fabric sells for $15 every 2 yards in another sells for $37 and 50 cent every 5 yards. do these fabrics have th

e same unit cost?

1 answer:

kykrilka [37]3 years ago

7 0

These fabrics do have the same unit cost.

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1. Determine the degree of homogeneity of the function S(x,y) = x^2 y + xy^2, and show that Euler's Theorem holds. 24 zvy

Dmitrij [34]

Answer:

Degree $k=3$

Step-by-step explanation:

The function that you have is a homogeneous function of degree $k=3$ . In fact, if $\lambda \in \mathbb{R}$ and $(x,y) \in \mathbb{R}^{2}$ we have that:

$s(\lambda x, \lambda y)=(\lambda y)(\lambda x)^{2}+(\lambda x)(\lambda y)^{2}=\lambda^{3}x^{2}y+\lambda^{3}xy^{2}=\lambda^{3}s(x,y)$

To verify that the Euler Theorem holds we need to show that:

$x\frac{\partial s}{\partial x}+y\frac{\partial s}{\partial y}=3 s(x,y)$ .

To do that let's compute the partial derivatives:

$\frac{\partial s}{\partial x}=2xy+y^2$

$\frac{\partial s}{\partial y}=x^2+2xy$

Then,

$x\frac{\partial s}{\partial x}+y\frac{\partial s}{\partial y}=2x^{2}y+xy^{2}+yx^{2}+2xy^{2}=3xy^{2}+3x^{2}y=3(x^{2}y+xy^{2})=3s(x,y).$

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4 years ago

What is the order of operation

Alex787 [66]

Answer:

For me people called it PEMDAS, Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

8 0

3 years ago

Read 2 more answers

Parallelogram JKLM is shown. If KR=X+7, KM = 3x - 5. and JL = 4x - 10.

Lorico [155]

Answer:

Step-by-step explanation:

In a parallelogram, this one in particular:

KR = RM

JR = RL

We are looking in the end for the length of JR, but that means that we need to solve for x somehow to plug in the expression for JL, and then split that in half. Here's how we're going to go about it. I know that

KM = KR + RM, but since KR and RM are the same length, the equation becomes

KM = 2KR. Filling that in with the expressions I'm given for KM and KR:

3x - 5 = 2(x + 7) and

3x - 5 = 2x + 14 and

x = 19. Now I can find the length of JL:

JL = 4x - 10 so

JL = 4(19) - 10 and

JL = 66

Knowing that JR = RL and JL is 66 units long, JR = RL = 33 units each.

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3 years ago

What is 67 time 14 plus 57 equals to im doing a test right now

sattari [20]

Answer:

995

Step-by-step explanation:

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3 years ago

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USE THE CLUES TO CRACK THE CODE

elena55 [62]

Answer:

Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.

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3 years ago