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3 years ago

Which of the following is not a function?

Mathematics

1 answer:

stepladder [879]3 years ago

4 0

Answer:

Step-by-step explanation:

d is not a function because if you do the vertical test for d

the line goes through it twice and if it goes through it twice it means it's not a function, D did not pass the vertical test

I put two pictures so you can see the difference. it shows you if it passed the vertical tesft or not. if you do not know abt the vertical test, you will learn abt it soon. a vertical test is very helpful to find out if it is a function or not. THE VERTICAL TEST CAN ONLY BE USED ON GRAPHS nothing more. I hope I helped.

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a rectangular box with two sqaure opposite ends is to hold 8000 cubic inches. find the dimensions of the cheapest box if tge rec

AveGali [126]

Answer:

the dimensions of the box that minimizes the cost are 5 in x 40 in x 40 in

Step-by-step explanation:

since the box has a volume V

V= x*y*z = b=8000 in³

since y=z (square face)

V= x*y² = b=8000 in³

and the cost function is

cost = cost of the square faces * area of square faces + cost of top and bottom * top and bottom areas + cost of the rectangular sides * area of the rectangular sides

C = a* 2*y² + a* 2*x*y + 15*a* 2*x*y = 2*a* y² + 32*a*x*y

to find the optimum we can use Lagrange multipliers , then we have 3 simultaneous equations:

x*y*z = b

Cx - λ*Vx = 0 → 32*a*y - λ*y² = 0 → y*( 32*a-λ*y) = 0 → y=32*a/λ

Cy - λ*Vy = 0 → (4*a*y + 32*a*x) - λ*2*x*y = 0

4*a*32/λ + 32*a*x - λ*2*x*32*a/λ = 0

128*a² /λ + 32*a*x - 64*a*x = 0

32*a*x = 128*a² /λ

x = 4*a/λ

x*y² = b

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then

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Hatshy [7]

This problem is mainly concerned with setting up an equation.

let's add the interest rates times their respective investment amounts:

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sum of interest:

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