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Umnica [9.8K]
3 years ago
13

Answer the following two questions. What is the main difference between the two?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Step-by-step explanation:

i) 8x - 3 + 2(3x + 1)

=> 8x - 3 + 6x + 2

=> 14x - 1

ii) 8x - 3 - 2(3x + 1)

=> 8x - 3 - 6x - 2

=> 2x - 5

THE MAIN DIFFERENCE BETWEEN (i) & (ii) :- SIGNS ARE DIFFERENT. In (i) , there's a + sign in between (8x - 3) & 2(3x + 1) ..... but in (ii) , there's a - sign in between (8x - 3) & 2(3x + 1).

THE SIMILARITIES BETWEEN (i) & (ii) ARE (8x - 3) & 2(3x + 1).

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If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?​
Ira Lisetskai [31]
<h3>Answer:  10 elements</h3>

=======================================================

Explanation:

Let's use an example to see why this is

A = {1,2,3,4,5,6,7}

B = {x,y,z}

A U B = {1,2,3,4,5,6,7, x,y,z}

We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).

There are 7 items in set A, and 3 items in set B.

Therefore, we have 7+3 = <u>10 items in set A U B</u>

The symbol U refers to the set union operator.

If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.

The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.

-----------------

If you want a formula to write down on a notecard or reference sheet, then it would be

n(A U B) = n(A)+n(B)

where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region

4 0
2 years ago
Complete the solution of the equation. find the value of y when x equals to 28<br><br> x+3y=28
Leno4ka [110]

Answer:

y=0

Step-by-step explanation:

If x equals 28 then substitute it in the equation, 28+3y=28

Next, subtract 28 from both sides, 3y=0

Now that you have that its simple, y must equal 0

3 0
3 years ago
Read 2 more answers
On a science test, 2 points are deducted from a total of 100 points for each question answered incorrectly. Trevor scored an 84
CaHeK987 [17]

Answer:

8

Step-by-step explanation:

Using the equation in the directions (100-2x=84), we can find out how many questions Trevor got wrong on his Science test. First, we need to subtract 100-84=16 to find out how many points he lost. Trevor lost 16 points.  Now we can divide 16/2=8, to find out how many questions he got wrong. Trevor got 8 questions wrong on his test.

Hope this helps!

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Evelyn can run 3 miles in 40 minutes. Which equation can be solved to
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Answer:

4.5 miles

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