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Mumz [18]
3 years ago
12

Sally is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of t

he number cubes is divisible by 2}. List the outcomes in A ∩ B.
Mathematics
2 answers:
Iteru [2.4K]3 years ago
7 0

Answer: A∩B is an empty set.

A∩B=\phi

OR

A∩B= { }


Step-by-step explanation:

Given : A = {the sum of the number cubes is odd}

and  B = {the sum of the number cubes is divisible by 2}

We know that odd numbers is not divisible by 2 .

Therefore, the both set have no element common.

Thus, their intersection will be an empty set.

A∩B is an empty set.

A∩B=\phi

OR

A∩B= { }


slega [8]3 years ago
4 0
The Answer to the question is { }.<span>

This is because there are no answers that are odd and divisible by 2.</span>
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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
nydimaria [60]

Answer:

Step-by-step explanation:

As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by  x=-b/(2a) where a = -34 and b = 1542:

x=-1542/(2)(-34)

x=-152/-68

x=152/68  

We put this value of "x" into the original formula to find out the value of "y":

y=-34x^2+1542x-10037

y=(-34)(1542/68)^2+1542(1542/68)-10037

y= -17483.5588235 + 34967.1176471 -10037

y=7446.5588236

Therefore, the maximum profit would be $7446.56.

Hope this helps!

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7 0
3 years ago
4 - x + <img src="https://tex.z-dn.net/?f=6%5E%7B2%7D" id="TexFormula1" title="6^{2}" alt="6^{2}" align="absmiddle" class="latex
Lemur [1.5K]

Answer:

x ≤ 19

Step-by-step explanation:

The instructions here are probably "solve for x."  Please include them.

4 - x + 6^2 ≥  21

becomes 4 - x + 36 ≥  21

Now combine like terms.  4 and 36 combine to 40:  40 - x ≥ 21, and so:

19 - x ≥ 0

Adding x to both sies results in

x ≤ 19

Please, include the instructions when you post a question.  Thanks.

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