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3 months ago

Uhh .. im stuck and this is area model ..

Mathematics

1 answer:

klasskru [66]3 months ago

7 0

Solution

for this case we can do the following multiplicating the two terms

$7x(5x^2)+7x(9x)+7x(6)+4(5x^2)+4(9x)+4(6)$

If we multiply we got:

$35x^3+63x^2+42x+20x^2+36x+24$

And if we simplify we got:

$35x^3+73x^2+78x+24$

x 5x^2 9x 6

7x 35x^2 63x^2 42x

4 20x^2 36x 24

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The original price is 67 and 4 percent dissocount

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2 years ago

I don't understand what's the answer

gayaneshka [121]

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2 years ago

Complete the sequence. 37.25, 35.5, 33.75, __, __.

Leviafan [203]

Answer:

37.25, 35.5, 33.75, 32, 30.25.

Step-by-step explanation:

Subtract the first term from the second term:

35.5 - 37.25 = -1.75

Subtract the second term from the third term:

35.5 - 33.75 = -1.75

The common difference is -1.75.

To find each subsequent term, add the common difference to the current term.

33.75 + (-1.75) = 32

32 + (-1.75) = 30.25

Answer:

37.25, 35.5, 33.75, 32, 30.25.

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2 years ago

A round swimming pool (a cylinder) has a diameter of 16 feet and a height of 4 feet. How many gallos of water can the pool hold

Marina CMI [18]

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2 years ago

A person has utility function u(x, y) = 100xy + x + 2y. Suppose that the price per unit of x is $2, and that the price per unit

Kazeer [188]

Answer:

x = 250

y = 125

u(x,y) = 3125500

Step-by-step explanation:

As given,

The utility function u(x, y) = 100xy + x + 2y

$P_{x}$ = 2 , $P_{y}$ = 4

Now,

Budget constraint -

$P_{x}$ x + $P_{y}$ y = 1000

⇒2x + 4y = 1000

So,

Let v(x, y) = 2x + 4y - 1000

Now,

By Lagrange Multiplier

Δu = Δv

⇒< 100y + 1, 100x + 2 > = < 2, 4 >

By comparing, e get

100y + 1 = 2 ........(1)

100x + 2 = 4 .........(2)

Divide equation (2) to equation (1) , we get

$\frac{100y + 1}{100x + 2} = \frac{1}{2}$

⇒2(100y+1) = 1(100x+2)

⇒200y + 2 = 100x + 2

⇒200y = 100x

⇒2y = x

Now,

As 2x + 4y = 1000

⇒2x + 2(2y) = 1000

⇒2x + 2x = 1000

⇒4x = 1000

⇒x = 250

Now,

As 2y = x

⇒2y = 250

⇒y = $\frac{250}{2}$ = 125

∴ we get

x = 250

y = 125

Now,

u(250, 125) = 100(250)(125) + 250 + 2(125)

= 3125000 + 250 + 250

= 3125000 + 500

= 3125500

⇒u(250, 125) = 3125500

3 0

2 years ago