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2 years ago

Answer please and thank you

Mathematics

2 answers:

Tpy6a [65]2 years ago

7 0

Answer:

Step-by-step explanation:

Well, 3/12 can be simplified to 1/4

To find the least common denominator of 1/8, 2/9, and 1/4 make a list of multiples that they have in common

8: 8, 16, 24, 32, 40, 48, 56, 64, 72...

9: 9, 18, 27, 36, 45, 54, 63, 72...

4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72...

As you can see, 72 is the one number they all have in common which makes it the least common denominator.

USPshnik [31]2 years ago

5 0

Answer:

Step-by-step explanation:

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What is the product of 1 1/2 and -1 1/4 enter your answer as a mixed number in simplified form

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3 years ago

Business/multivariable calc question help needed asap!!!!

UkoKoshka [18]

Answer:

There is a  min  value of  800  located at (x,y) =  (16, 12) 

==========================================================

Explanation:

Let's solve the second equation for y

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3y = 100-4x

y = (100-4x)/3

We'll plug that into the first equation

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

g(x) = 2x^2+2((100-4x)/3)^2

g(x) = 2x^2+(2/9)*(100-4x)^2

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

This graphs a parabola that opens upward, due to the positive leading coefficient. This g(x) curve has its vertex point at the minimum.

Apply the derivative to help find the minimum

g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)

g ' (x) = 4x+(2/9)*(-800+32x)

------------------------

Set the derivative function equal to 0 and solve for x

g ' (x) = 0

4x+(2/9)*(-800+32x) = 0

4x+(2/9)*(-800)+(2/9)*(32x) = 0

4x-1600/9+(64/9)x = 0

9(4x-1600/9+(64/9)x) = 9*0

36x-1600+64x = 0

100x-1600 = 0

100x = 1600

x = 1600/100

x = 16

Use this x value to find y

y = (100-4x)/3

y = (100-4*16)/3

y = (100-64)/3

y = 36/3

y = 12

-----------------------

Therefore, (x,y) = (16,12) leads to the largest value of f(x,y) = 2x^2+2y^2

That smallest f(x,y) value is...

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

f(16,12) = 2*16^2+2*12^2

f(16,12) = 800

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