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Archy [21]
2 years ago
12

Given the universal set U = {v, w, x, y, z), and subsets A = {v, w, z} and B = {x, y, z), indicate the roster

Mathematics
1 answer:
lukranit [14]2 years ago
8 0

If U = {v, w, x, y, z} and A = {v, w, z}, then

A' = {x, y}

(A' is the complement of A - it's the set containing all elements of U that are not in A)

If B = {x, y, z}, then

B' = {v, w}

Their their union is

A' U B' = {v, w, x, y}

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27x + 24y= 4.5<br><br> 1.5x + y =0.225
Goryan [66]

Answer:

x = 0.1, y = 0.075

Step-by-step explanation:

Given the 2 equations

27x + 24y = 4.5 → (1)

1.5x + y = 0.225 → (2)

Multiplying (2) by - 24 and adding to (1) will eliminate the y- term

- 36x - 24y = - 5.4 → (3)

Add (1) and (3) term by term to eliminate y

- 9x = - 0.9 ( divide both sides by - 9 )

x = 0.1

Substitute x = 0.1 into either of the 2 equations and solve for y

Substituting into (2)

1.5(0.1) + y = 0.225

0.15 + y = 0.225 ( subtract 0.15 from both sides )

y = 0.075

3 0
3 years ago
Read 2 more answers
Alan, david and shari are running for president of their high school. There were a total of 1,000 votes cast for president. Davi
vekshin1

Answer:

Alan received 350 votes

Step-by-step explanation:

David received 250 votes

Shari received  400 votes

1,000 - 250=750

750 - 400 = 350

7 0
3 years ago
Identify the behavior of the function f(x)=5x^3-3x^2+2x+8<br> (Answer choices in picture)
balu736 [363]
Use the degree of the function, as well as the sign of the leading coefficient to determine the behavior. 1. Even and Positive: Rises to the left and rises to the right. 2.
8 0
3 years ago
Which one is a rational number?
SSSSS [86.1K]

Answer:

2

Step-by-step explanation:

A rational number is a number that can be represented as a fraction.

Numbers \sqrt{8},\ 0.303003000...,\ \pi are irrational numbers (they cannot be represented as a fraction).

Number 2 is a rational number (this is the natural number and every natural number is a rational number)

8 0
3 years ago
Explain how you would solve this problem for x
borishaifa [10]

Answer:

x = 18.

Step-by-step explanation:

The 2 amgles are adjacent so add up to 180 degrees so we have:

x^2 - 11x + 3x = 180

x^2 - 8x - 180 = 0

(x -18)(x + 10) = 0

x = -10, 18.

x = -10 cannot be  correct because that would make the 3x angle = -30.

7 0
3 years ago
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