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BartSMP [9]
3 years ago
5

I need help with this question! I would really appreciate it if you would show the steps.

Mathematics
1 answer:
abruzzese [7]3 years ago
7 0
Yuck! That one looks nasty... it's actually not too bad. Let's take it in steps.

[1] Understand the question. We need to find the greatest common factor (GCF). The GCF is exactly what it says, it is the biggest factor in common to all the numbers being added or subtracted.

Once we find the GCF, it is easy to factor the expression (which is why they are forcing you to find it!).

[2] Let's start with the obvious numbers, 8, 2, and 10. What's the GCF of those?

Well... that has to be 2. I can factor anything bigger out because 2 itself would be gone!

[3] Let's move on to the variables... v^6, v^5, v^9. What's the GCF of those?

Well... I the most I can factor out is v^5.

[4] Putting it all together the GCF of this expression is 2v^5. Great!

[5] Now, we factor this out of the expression:
2v^5 (4v + 1 - 5v^4)

Check by multiplying it back:
2v^5 * 4v + 2v^5 * 1 - 2v^5 * 5v^4 = 8v^6 + 2v^5 - 10v^9
and we get back what we wanted.

The answer is 2v^5 (4v + 1 - 5v^4).
You might be interested in
Mary ran 2 miles in about 23 minutes. If she continued at the same pace, how long will it take her to run 10 miles?
8090 [49]

Answer:

115 minutes ( 1 hour and 55 minutes)

Step-by-step explanation:

Divide 23 by 2 to find out how fast she can run 1 mile

11.5

Now multiply 11.5 by 10

115 minutes

Hope this helped :)

Please consider Brainliest :)

7 0
3 years ago
Sets L and J are defined as follows.
wlad13 [49]

Answer:

The second one:

L∪J={i,j,k,l,m,n,o}

Step-by-step explanation:

The union is the elements listed in either set.

So since l,m,n, and o are elements of set L, they will also be elements of whatever it is "unioned" with.

Since i,j,k,l and m are elements of set J, they will also be elements of whatever it is "unioned" with.

When you write the union, just be sure to include each element that occurs in either set once.

So the union of L and J is {i,j,k,l,m,n,o}.

The answer is the second one.

The intersection would actually be that upside down U thing, the ∩ symbol. The intersection of two sets is a list of elements that both sets include.  So here the intersection would just consist of the elements l amd m.

8 0
3 years ago
Read 2 more answers
Solve an inequality 2x-3‹25
Vadim26 [7]
X < 14 
Ur welcome...
Its pretty basic

5 0
3 years ago
PLEASE HELP!!! :( <br>Consider the following figure <br>What is BD? ​
Yuliya22 [10]

Answer:

BD = 16

Step-by-step explanation:

32/BD = BD/8

BD² = 256

BD = 16

8 0
3 years ago
One of the zookeepers solved to find Bernard’s speed when he is healthy using the equation:
MrRissso [65]

Answer:

Both the zoo-keepers are correct.

Step-by-step explanation:

The first zoo keeper uses the equation:

x - 41.5 = 13.5

⇒ x = 13.5 + 14. 5 = 55

Now, the second zoo- keeper uses the equation:

41.5 + 13.5 = x

⇒ x = 55

Both use x = 55.

4 0
3 years ago
Read 2 more answers
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