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marusya05 [52]
3 years ago
10

For which value of x must the expression square root of 19x be further simplified? A. 15. B 21. C 28. D 41

Mathematics
2 answers:
algol [13]3 years ago
5 0
<span>The expression of the square root of 19x must be simplified when x is equal to 28. This is because possible factors of 28 can be seen to be 4 and 7, and 4 is a perfect square. This means it can be pulled outside of the square root when evaluated. The other options include only prime factors that could not be pulled out. (3,5), (3,7), (1,41)
   28 simplifies as such:
 Sqrt(19*28) = Sqrt(19*4*7) = 2*Sqrt(19*7) = 2*Sqrt(133).</span>
kap26 [50]3 years ago
3 0

Answer:

C 28

Step-by-step explanation:

Let:

f(x)=\sqrt{19x}

Now, let's evaluate every value, so we can determinate if the expression can be further simplified:

x=15

f(15)=\sqrt{19*15} =\sqrt{285}

This can't be simplified because it can't be expressed as the product of a series of prime factors raised to the exponent of the root.

x=21

f(21)=\sqrt{19*21} =\sqrt{399}

This can't be simplified because it can't be expressed as the product of a series of prime factors raised to the exponent of the root.

x=28

f(28)=\sqrt{19*28} =\sqrt{532}

This can be simplified because you can rewrite the expression as:

\sqrt{532} =\sqrt{2^2*133} = \sqrt{4*133} =\sqrt{4} \sqrt{133} =2\sqrt{133}

x=41

f(41)=\sqrt{19*41} =\sqrt{779}

This can't be simplified because it can't be expressed as the product of a series of prime factors raised to the exponent of the root.

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Read 2 more answers
The Social Justice Club is going to rent a mammoth barbeque to cook the hot dogs for the hot dog sale After contacting three ren
zimovet [89]

Answer:

(A)Cost of Rental A, C= 15x

Cost of Rental B, C=5x+50

Cost of Rental C, C=9x+20

(B)

i. Rental C   ii. Rental A     iii. Rental B

Step-by-step explanation:

<u>Part 1</u>

Let x be the number of hours of the barbeque use by the club.

Rental A: $15/h

Cost of Rental A, C= 15hx

Rental B: $5/h + 50

Cost of Rental B, C=5x+50

Rental C: $9/h + 20

Cost of Rental C, C=9x+20

<u>Part 2</u>

The graph of the three models is attached below

<u>Part 3(11.05-4.30)</u>

If the barbecue's usage hour is from 11.05 to 4.30 when the football match ends.

Number of Hours between 11.05am and 4.30pm=4 hours 25 Minutes = 4.42 Hours

Cost of Rental A, C= 15x=15(4.42)=$66.30

Cost of Rental B, C=5x+50 =5(4.42)+50=$72.10

Cost of Rental C, C=9x+20=9(4.42)+20=$59.78

Rental C should be chosen as it offers the lowest cost.

<u>Part 4 (11.05-12.30)</u>

Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours

  • Cost of Rental A, C= 15x=15(1.42)=$21.30 Cost of Rental B, C=5x+50 =5(4.42)+50=$57.10 Cost of Rental C, C=9x+20=9(4.42)+20=$32.78

Rental A should be chosen since it offers the lowest cost.

<u>Part 5</u>

If the barbecue is returned the next day, say after 24 hours

  • Cost of Rental A, C= 15x=15(24)=$360 Cost of Rental B, C=5x+50 =5(24)+50=$170 Cost of Rental C, C=9x+20=9(24)+20=$236

Rental B should be chosen as it offers the lowest cost.

6 0
3 years ago
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