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vladimir1956 [14]
3 years ago
10

A student’s work to simplify and combine radicals is shown below. Select the statement which best applies to the sample mathemat

ical work.
Given 4√50-2√8, I observe that √50=√20*2 and √8=√4*2, and that 25 and 4 are perfect squares, so I simplify the expression to 100√2-8√2. I can then combine these terms to get 92√2, which is my answer.
Mathematics
1 answer:
jeka943 years ago
4 0
Your answer is incorrect. You forgot to get the square root of 25 and 4. Answer should be 16√2

we can only subtract radicals that are the same. At first glance, 4√50 - 2√8 are not the same, so they are not likely to be subtracted. However, each radical can still be simplified.

4 √50 = 4 √25 * 2 = 4 * 5 √2 = 20 √2
2 √8   = 2 √4 * 2   = 2 * 2 √2 =   4 √2

Now that the radicals are the same. then you can subtract the numbers.

20 √2 - 4 √2 = 16√2

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3x 2y = 4 2x - y = 5 this system of equations has no solution. has one solution. is coincident.
juin [17]

Answer:

no solution

Step-by-step explanation: because if it has no variables that are the same it has no solution.

7 0
2 years ago
There is an error in the diagram. Choose the statement that best describes what is wrong.
marishachu [46]

Answer:

the first one is right and other are wrong

4 0
3 years ago
What would be the image of Point B(3, 2) after the following transformations have been applied:
Ulleksa [173]

Answer:

(9,6)

Step-by-step explanation:

(6,9)

Because the scale factor is 3 so u r suppose to multiply by 3

6 0
3 years ago
Read 2 more answers
Eloise made a list of some multiples of 8/5 write 5 fractions that can be in Eloise list
alexgriva [62]
This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.

So if 2 is the common factor, you multiply the numerator and denominator by 2.

2: (8*2)/(5*2)= 16/10

3: (8*3)/5*3)= 24/15

4: (8*4)/(5*4)= 32/20

5: (8*5)/(5*5)= 40/25

10: (8*10)/5*10)= 80/50

Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50

If you simplify any of these fractions above, you will get 8/5 again.

To work backwards:
80/50: 10 goes into 80, 10 goes into 50= 8/5

16/10: 2 goes into 16, 2 goes into 10= 8/5

Hope this helps! :)
4 0
3 years ago
PROBLEM #1
lesantik [10]

Answer:

  • 500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

<u>1. Keith has $500 in a savings account at the beginning of the summer.</u>

  • Initial amount: 500

<u>2.  He wants to have at least $200 in the account by the end of summer. </u>

<u />

  • Final amount ≥ 200

<u>3. He withdraws $25 a week for his cell phone bill.</u>

<u />

  • Call w the number of weeks
  • Withdrawls = 25w

<u>4. Write an inequality that represents Keith's situation.</u>

  • Create your model: Final amount = Initial amount - withdrawals ≥ 500

  • 500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

  • 500 - 200 ≥ 25w
  • 300 ≥ 25w
  • 300/25 ≥ w
  • 12 ≥ w
  • w ≤ 12

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

8 0
3 years ago
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