What does the number theory prove?

Answers

Answer 1

Answer: Number theory is the study of integers and natural numbers. I don't think it proves anything, but it helps with algebra.

Answer 2

Answer: it does not prove anything it just is what is learned in algebra because you are going to know more about it in geometry.

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Help a girl a out please and thank you!

Answers

Answer:

Step-by-step explanation:

Add 29 to both sides of this equation, obtaining: x² - 10x + 25. At this point it becomes obvious that this is a perfect square, the square of x - 5.

Thus, in the first two blanks, write x - 5.

In the second two blanks, write 5 (since 5 is the root corresponding to the factor x - 5).

The number x of stereo speakers a retail chain is willing to sell per week at a price of p dollars is given by. Find the supply and instantaneous rate of change of supply when the price is 75 dollars?

Answers

Answer:

Please find below the complete question:

The number x of stereo speakers a retail chain is willing to sell per week at a price of p dollars is given by x = 80 $√(p+27)$ − 410. Find the supply and instantaneous rate of change of supply when the price is 75 dollars.

Supply = 398

Instantaneous rate of change of supply $=3.96$

Step-by-step explanation:

$x=80√(p+27) -410$

Supply when price = $75

$x=80√(75+27) -410 = x=80√(102) -410\n\nx = 80(10.1) -410= 808-410\n\nx = 398$

Supply = 398 stereo speakers

To get the instantaneous rate of supply, we differentiate the supply, x, with respect to price, p

$(dx)/(dp) = (d)/(dp)(80√(p+27) -410)\n\n(dx)/(dp) = (d)/(dp)(80(p+27)^(1/2) -410)$

Using chain rule, we have

$(x)/(y) (dx)/(dp)=(d)/(dp)( 80(p+27)^(1/2)) - (d)/(dp)(410) \n\n(dx)/(dp)=80((1)/(2))(p+27)^(-1/2) - 0\n\n(dx)/(dp)=(40)/(√(p+27) ) \n$

At p = $75

$(dx)/(dp)=(40)/(√(75+27) )=(40)/(√(102) )\n\n(dx)/(dp)=(40)/(10.1) = 3.96\n\n(dx)/(dp)=3.96$

The question is not complete and the complete question says:

The number x of stereo speakers a retail chain is willing to sell per week at a price of p dollars is given by x=80√(p+27) − 410 Find the supply and instantaneous rate of change of supply when the price is 75 dollars

Answer:

A) Approximately 398 stereo speakers

B) Instantaneous rate of change = 3.961

Step-by-step explanation:

From the question, the number of speakers is given as;

x=80√(p+27) − 410

A) Thus at a price of $75,

The amount supplied will be;

x = 80√(75+27) − 410

x = 80√(102) - 410

x = (80 x 10.0995) - 410

x = 807.96 - 410 = 397.96 ≈ 398 stereo speakers

B) The instantaneous rate of change is given as;

dx/dp of the supply equation.

Thus, let's rearrange the supply equation first before differentiating.

So, x = 80√(p+27) − 410

x = 80[(p +27)^(1/2)] - 410

So, dx/dp = [(80 x 1/2) (p + 27)^(-1/2)]

dx/dp = 40/√(p+27)

So, at price of $75,

dx/dp = 40/√(75+27) = 40/√102

= 40/10.0995 = 3.961

12. Edie can paint a wall in 3 hours. Dan can paint the same wall in 6 hour. If the work together how many hours will it take Edie and Dan to paint the wall?A) 1 hour
B) 1.5 hours
C) 2 hours
D) 4.5 hours

Answers

its B but I'm not sure :)

Solve. Q - 7 5/6 = 6 1/2

Answers

$Q - 7 (5)/(6) = 6 (1)/(2) \n \n Q - 7 (5)/(6) + 7 (5)/(6) = 6 (1)/(2) + 7 (5)/(6) \n \n Q = 6 (1*3)/(2*3) + 7 (5)/(6) \n \n Q = 6 + 7 + (3)/(6) + (5)/(6) \n \n Q = 13 + (8)/(6) = 13 + (6)/(6 ) + (2)/(6) = 14 (2)/(6 ) = 14 (1)/(3)$

Find the unit rate in feet per second
300 yards over 1 minute

Answers

In order to find the unit rate in ft / sec of 300 yards / min. We first have to elicit the conversion values for each unit of measurement, this will allows us identify how much will we multiply in order to get the goaled value.
Conversion values:
1.    1 yard = 3 feet
2.    1 minute = 60 seconds

Solution:
1.    300 yards x 3 feet/1 yard = 900 feet
2.    1 minute x 60 seconds / 1 minute = 60 seconds

Thus, 900ft/60sec

Question: Find the unit rate in feet per second

300 yards over 1 minute

Answer: 15 ft per second

Reasoning: Since we are trying to find the unit rate of feet per second for 300 yards in one minute. 1 yard is 3 feet. 300 x 3= 900 Now divide 900 by 60 for the seconds. 900/60= 15

So 15 feet per second :)

46h+56h=600 please solve