4 years ago

Given A = {a, b, c}, how many subsets does A have including ∅? a. 4 b. 7 c. 8

1 answer:

8 0

A set of n elements has $2^n$ subsets.

There are 3 elements in the set A, so the number of subsets is $2^3=8$

You can write them out:
$\{\{\}, \{a\}, \{b\}, \{c\}, \{a, b\}, \{a, c\}, \{b, c\}, \{a, b, c\}\}$

You might be interested in

4 consecutive integer that add up to 30

lapo4ka [179]

7 + 7 + 7 + 7 = 30

7 repeats itself 4 times to equal 30

3 0

4 years ago

Read 2 more answers

Explain the distance formula. Then use it to calculate the distance between A(1,1) and B(7,-7).

Lena [83]

Answer attached, but more letters needed

4 0

4 years ago

2x+9=1x-5 what is x?

Vlada [557]

Answer:

2x+9=1x-5

2x-1x=-5-9

x=-14

4 0

2 years ago

Read 2 more answers

The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items

Brilliant_brown [7]

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

$C(0) = 10(0) + 500 = 0 + 500 = 500$

b. For zero items produced, cost will be-

$C(25) = 10(25) + 500 = 250 + 500 = 750$

c. If $C(x)_{max} = 1500$

$10x + 500 = 1500\\10x = 1000\\x = 100$

∴ domain for cost function will be $[0,100]$ and range will be 100

7 0

3 years ago

A pizza has 8 slices and papa gino's sells the whole pizza for $16. What is the unit rate for a slice of pizza?

BabaBlast [244]

Answer:

It would be $2 per piece, because 16 divided by 8 is two.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers