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EastWind [94]
4 years ago
9

For A = {a,b}, determine A x P(A).

Mathematics
1 answer:
alex41 [277]4 years ago
6 0

Answer:

Since A={a,b}, then P(A)=\{\emptyset, \{a,b\}, \{a\}, \{b\}\}. Remember that the Cartesian Product of two sets A, B is defined by

A\times B=\{(x,y): x\in A \text{ and } y\in B\}. Then

A\times P(A)=\{(a,\emptyset),(a,\{a,b\}),(a,\{a\}), (a,\{b\}), (b,\emptyset),(b,\{a,b\}),(b,\{a\}), (b,\{b\})\}

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Find f(6) if f(x)=x^2 divided by 3x+x
Alinara [238K]
So, if I'm understanding you correctly, f(x)=x^2 divided by 3x+x, or
f(x) = (x^2)/(3x+x)
f(6) --> plug the 6 in to all values of x --> f(6) = (6^2)/(3×6 + 6) = 36/(18+6)
= 36/24 --> both are divisible by 12, so 36/12=3 and 24/12=2, now we have the reduced (simplified) answer:
f(6) = 3/2, or 1 1/2, or 1.5
3 0
4 years ago
A furnace delivers 8.0 × 104 btu per hour. how many kilocalories per hour is this?
vazorg [7]
For this case the first thing you should know is the following unit conversion.
 1 BTU = 0.25 Kilocalories
 We then have the following numerical value:
 8.0 * 10 ^ 4 \frac{BTU}{h}
 Applying the conversion of units we have:
 8.0 * 10 ^ 4 \frac{BTU}{h} * 0.25 \frac{Kcal}{BTU}
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 Answer:
 
This is 20000 kilocalories per hour
 
20000 \frac{Kcal}{h}
6 0
3 years ago
What is the domain of the graphed function?
postnew [5]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Find the midpoint of the line segment with the given points.
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Answer:

\displaystyle (-\frac{5}{2}, 4)

Step-by-step explanation:

    We will use the midpoint formula to solve.

\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )

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6 0
2 years ago
Teacher-Led Station
Helen [10]

Answer:

Step-by-step explanation:

Yes, her estimate is not good because one hat is $14.50 and 2 binders are$3.20*2=^$6.40. Those two items combined is over $20. The pencils will put the total further over $20.

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The remaining $2 is enough for 6 more pencils.

So she could buy 10+6 = 16 pencils with $5.

5 0
3 years ago
Read 2 more answers
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