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4 years ago

15

Find the smallest possible set (i.e., the set with the least number of elements) that contains the given sets as subsets. {jill,

john, jack}, {susan, sharon}

1 answer:

Mars2501 [29]4 years ago

5 0

{Jill, John, Jack, Susan, Sharon}
Subsets make up the main set, so basically combine the subsets together.

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Find two positive numbers whose product is 81 and whose sum is a minimum.

hammer [34]

Ab=81, a=81/b

s=a+b using a from above in this we get:

s(b)=81/b +b

s(b)=(81+b^2)/b

ds/db=(2b*b-81-b^2)/b^2

ds/db=(2b^2-81-b^2)/b^2

ds/db=(b^2-81)/b^2

d2s/db2=(2b^3-2b^3+81)/b^4

d2s/db2=81/b^4 since b is positive we know that the acceleration is positive so that when ds/db=0 it is a minimum for s(b)

ds/db=0 only when b^2-81=0, b^2=81, b=9

The two positive numbers are 9 and 9.

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4 years ago

Dan was thinking of a number. Dan halves the number and gets an answer of 18.8. Form an equation with x from the information.

aev [14]

Answer:

$\dfrac{x}{2} = 18.8$

Step-by-step explanation:

Let <em>x</em> represent the number Dan was thinking about.

Half of the number, x = 18.8

Therefore, when <em>x</em> is divided by 2, the result is 18.8

The equation which can be formed with the given information is therefore;

$\dfrac{x}{2} = 18.8$

6 0

3 years ago

The point (1,1) is the image under the translation (x,y)-> (x+3,y-3). What is the preimage of this point?

wel

Answer:

(-2,4)

Step-by-step explanation:

$\text{pre-image}->\text{image}$

$(x,y)->(x+3,y-3)$

$(x,y)->(1,1)$

This implies $(x+3,y-3)=(1,1)$ .

This means $x+3=1$ and $y-3=1$ .

Subtract 3 on both sides for first equation: $x=1-3=-2$ .

Add 3 on both sides for the second equation: $y=1+3=4$ .

So the pre-image (x,y) is (-2,4) if the image is (1,1).

Let's check:

$(x,y)->(x+3,y-3)$

$(-2,4)->(-2+3,4-3)$

$(-2,4)->(1,1)$

So the solution has been checked and verified.

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3 years ago

Please help me first answer gets brainliest

Scrat [10]

Step-by-step explanation:

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3 years ago

Read 2 more answers

Gabe Amodeo, a nuclear physicist, needs 60 liters of a 60% acid solution. He currently has a 50% solution and a 70% solution.

In-s [12.5K]

Answer:

Gabe needs 20 liters of the 40% solution.

He also needs 40 liters of the 70% solution.

Step-by-step explanation:

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3 years ago