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hjlf
3 years ago
10

25 POINTS! Match each expression on the left to its equivalent expression on the right. Write the letter (A,B,C) next to the num

ber that it matches up with.

Mathematics
2 answers:
LenKa [72]3 years ago
6 0
7. A


8. C


9. B




I hope that answer the question
Nat2105 [25]3 years ago
3 0

Answer:

7) C

8) A

9) B

Step-by-step explanation:

7)

\frac{1}{3}x +\frac{1}{4} -\frac{2}{3} x=-\frac{1}{3} x+\frac{1}{4}

8)

\frac{1}{3}x +\frac{1}{4} +\frac{2}{3}x=x+\frac{1}{4}

9)

\frac{2}{3} +\frac{3}{4}x -\frac{1}{3} =\frac{3}{4} x+\frac{1}{3}

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Find the midpoint of the segment with the following endpoints. (5,3) and (1,9)
OLEGan [10]

Answer:

(3, 6)

Step-by-step explanation:

If you create a mini graph, like I did, you would have seen that the middle point is at the co-ordinates (3,6). I have attached a image to this reply, with my "graph". (Sorry if its a little ugly, but that doesn't matter, the math does.)

8 0
3 years ago
Find the equation of the line with a slope of 3/4 and passes through (4-2)
Ira Lisetskai [31]

Answer:

y = 3/4x - 5

Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Let's plug in what we know.

The slope is 3/4.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/4(4) + b

To find b, multiply the slope and the input of x(4)

-2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-5 = b

Plug this into your standard equation.

y = 3/4x - 5

This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

5 0
3 years ago
Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0
3 years ago
What’s the slope for this graphed?<br> A.5<br> B.1/3<br> C.2<br> D.3
larisa [96]
No it’s D because it is rise over run and you rise 3 and run 1. 3/1 is simplified to 3.
6 0
3 years ago
Five classes collected money for a charity of their choice. The amounts of money collected by the boys and girls of each are sho
34kurt

The girls collected 8.5 pounds more than the boys in class 4

<h3>Complete question</h3>

Five classes collected money for a charity of their choice. The amounts of money collected by the boys and girls of each are shown in the chart below.

In Class 4, how much more money did the girls collect than the boys?

<h3>How to determine the difference in amounts?</h3>

From the attached chart, we have the following amount in class 4:

Girls = 12 pounds

Boys = 3.5 pounds

The difference is calculated as:

Difference = Girls - Boys

So, we have:

Difference = 12 pounds - 3.5 pounds

Evaluate

Difference = 8.5 pounds

Hence, the girls collected 8.5 pounds more than the boys in class 4

Read more about charts at:

brainly.com/question/25583717

#SPJ1

8 0
2 years ago
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