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slavikrds [6]
3 years ago
13

Find slope or line grab

Mathematics
1 answer:
NeTakaya3 years ago
3 0

Answer:

Step-by-step explanation:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th
FromTheMoon [43]

We are given the equations:

<span>5 x + 11 y = 49                    --> eqtn 1</span>

<span>u = 3 x^2 + 6 y^2               --> eqtn 2</span>

 

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

<span>y = (49 – 5x) / 11               --> eqtn 3</span>

 

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

 

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

 

Answer:

<span>George will choose some of each commodity but more y than x.</span>

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Step-by-step explanation:

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Why are handcuffs like souvenirs?
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<u>Part A)</u> 7(a+b)=7a+

Using the distributive property

7(a+b)=7a+7b

therefore

<u>the answer Part A is</u>

9-----> A

<u>Part R)</u>  4(5+x)=20+

Using the distributive property

4(5+x)=20+4x

therefore

<u>the answer Part R is</u>

14-----> R

<u>Part Y)</u> 3(2x+9)=6x+

Using the distributive property

3(2x+9)=6x+27

therefore

<u>the answer Part Y is</u>

4-----> Y

Part S)  8(3x+1)=+8

Using the distributive property

8(3x+1)=24x+8

therefore

<u>the answer Part S is</u>

23-----> S

<u>Part O)</u>  a(4+b)=+ab

Using the distributive property

a(4+b)=4a+ab

therefore

<u>the answer Part O is</u>

17-----> O  

<u>Part E)</u> x(y+10)=+10x

Using the distributive property

x(y+10)=xy+10x

therefore

<u>the answer Part E is</u>

3-----> E

<u>Part I)</u> 2(7x+4y)=14x+

Using the distributive property

2(7x+4y)=14x+8y

therefore

<u>the answer Part I is</u>

20-----> I

<u>Part D)</u> 6(9+5x)=54+

Using the distributive property

6(9+5x)=54+30x

therefore

<u>the answer Part D is</u>

10-----> D  

<u>Part W)</u> x(a+3b)=+3bx

Using the distributive property

x(a+3b)=ax+3bx

therefore

<u>the answer Part W is</u>

18-----> W

<u>Part E)</u> a(8x+2y)=8ax+

Using the distributive property

a(8x+2y)=8ax+2ay

therefore

<u>the answer Part E is</u>

7-----> E

<u>Part T)</u> 0.5(4a+10)=2a+

Using the distributive property

<u>Part T)</u> 0.5(4a+10)=2a+5

therefore

<u>the answer Part T is</u>

1-----> T

<u>Part R)</u> (2/3)(12+9y)=8+

Using the distributive property

(2/3)(12+9y)=8+6y

therefore

<u>the answer Part R is</u>

6-----> R  

<u>Part O)</u>  5x+5y=5(x+\ )

5x+5y=5(x+y)

therefore

<u>the answer Part O is</u>

13-----> O

<u>Part T)</u> 9a+9b=9(\ +b)

9a+9b=9(a+b)

therefore

<u>the answer Part T is</u>

22-----> T

Part W) 4m+4n=\ (m+n)

4m+4n=4(m+n)

therefore

<u>the answer Part W is</u>

16-----> W

<u>Part H)</u> ab+3a=a(b+\ )

ab+3a=a(b+3)

therefore

<u>the answer Part H is</u>

2-----> H  

<u>Part E)</u> xy+15x=\ (y+15)

xy+15x=x(y+15)

therefore

<u>the answer Part E is</u>

11-----> E

Part A) bu+uv=\ (b+v)

bu+uv=u(b+v)

therefore

<u>the answer Part A is</u>

5-----> A

<u>Part F)</u> (2/5)m+(2/5)n=(2/5)( \ +n)

(2/5)m+(2/5)n=(2/5)(m+n)

therefore

<u>the answer Part F is</u>

12-----> F

<u>Part M)</u> (3/4)a+(3/4)b+(3/4)c=\ (a+b+c)

(3/4)a+(3/4)b+(3/4)c=(3/4)(a+b+c)

therefore

<u>the answer Part M is</u>

8-----> M  

<u>Part S)</u> 7ax+2ay=a(7x+\ )

7ax+2ay=a(7x+2y)

therefore

<u>the answer Part S is</u>

21-----> S

Part T) 4kx+11ky=\ (4x+11y)

4kx+11ky=k(4x+11y)

therefore

<u>the answer Part T is</u>

15-----> T

<u>Part R)</u> 3ay+8by=y(\ +8b)          

3ay+8by=y(3a+8b)

therefore

<u>the answer Part R is</u>

19-----> R

<u>the answer is</u>

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