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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).
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The best estimate of 45 percent of 76
Vedmedyk [2.9K]
45% of 76
45%=0.45
0.45*76
34.2
34.2 is about 34
so 34

6 0
3 years ago
Read 2 more answers
If f(x) = x^2 + 1 and g(x) = 3x + 1, find [f(4)]^2 <br> 81 <br> 257 <br> 289
Vedmedyk [2.9K]
So g(x) doesn't come in
ok

remember pemdas
inside first
evaluate f(4)
f(4)=4^2+1=16+1=17
now we have

[17]^2=289

answer s 289
7 0
3 years ago
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Heather buys a dog bowl priced at $8. If the sales tax is 10%, how much tax will Heather<br> pay?
Fantom [35]

Answer:

I think the answer is 2 dollars

Step-by-step explanation:

4 0
3 years ago
How these ratios alike? <br> 8:5 16:10 24:15
arlik [135]

Answer:

All the left numbers of the Ratio go by 8's times tables and all the right numbers go by 5's times tables

Step-by-step explanation:

8x1= 8

8x2 =16

8x3 = 24

5x1= 5

5x2= 10

5x3= 15

Let me know if its right.

6 0
3 years ago
Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, first-served basis. The arrival rate
Elan Coil [88]

Answer:

The answer is B) 0.57.

Step-by-step explanation:

In this problem we have to apply queueing theory.

It is a single server queueing problem.

The arrival rate is  \lambda=4 and the service rate is \mu=7.

The proportion of time that the server is busy is now as the "server utilization"and can be calculated as:

p=\frac{\lambda}{c\mu} =\frac{4}{1*7}=0.57

where c is the number of server (in this case, one server).

3 0
3 years ago
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