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Vitek1552 [10]
2 years ago
15

The reciprocal of a number plus the reciprocal of three times the number equals 1/3. find the number.

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
6 0
1/x + 1/3x = 1/3
3+1=x
x=4
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Evaluate lim x approaches to 2 : (sqrt(6-x)-2)/(sqrt(3-x)-1)
solong [7]

Answer:

The answer is "0.5".

Step-by-step explanation:

Given:

\to \lim_{x\to 2}  \frac{(\sqrt{(6-x)}-2)}{(\sqrt{(3-x)}-1)}\\\\ \to \lim_{x\to 2}  \frac{\frac{d(\sqrt{(6-x)}-2)}{dx}}{\frac{(\sqrt{(3-x)}-1)}{dx}}\\\\

\to \lim_{x\to 2} \frac{\frac{-1}{2\sqrt{(6-x)} }}{\frac{-1}{2\sqrt{(3-x)}}}\\\\

\to \lim_{x\to 2} \frac{\sqrt{3-x}}{\sqrt{6-x}}\\\\ \to \frac{\sqrt{3-2}}{\sqrt{6-2}}\\\\ \to \frac{\sqrt{1}} {\sqrt{4}}\\\\ \to \frac{1}{2}\\\\ \to 0.5

5 0
2 years ago
4 questions last ones thxxx
iren [92.7K]

Answer:

(For the first two questions I do believe that you will need a protractor to calculate the angles.)

15) -(\frac{7\pi }{18} )\\ measures out to -70° in order to display that the angle would be in quadrant IV (the bottom right quadrant.)

The first image attached shows where the angle should be located.

16) \frac{\pi }{3} is equal to 60° (the line you draw will be in quadrant 1 (the top right quadrant))

17) 350° is \frac{35\pi }{18} or 6.11 (the answer depends on the format the professor wants.)

18) 240° is -(\frac{4\pi }{3}) radians or -4.19 (I am rounding to the nearest hundredths place the unsimplified answer is −4.18879020...)

6 0
2 years ago
Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. URGENT
Bad White [126]

Answer:

-39+5(-41)=244

Step-by-step explanation:

Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)

Five times the smallest means 5x

Sum of the largest and five times the smallest means x+2+5x

This sum is -244 means x+2+5x=-244

Solve this equation

x+2+5x=-244

6x+2=-244

6x=-244-2

6x=-246

x=-41

So, smallest number is -41, second is -40 and largest is -39

= -39+5(-41)=244

Hope this helps, have a nice day/night! :D

5 0
2 years ago
If -1 < x < 0 which of the following has the smallest value?
Katyanochek1 [597]

Answer: (B) x^3

Explanation:

If you compare the graphs of

  • y = x^2
  • y = x^3
  • y = x^4

all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1

Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.

Plugging x = -1 into x^3 leads to y = -1 as a result.

6 0
3 years ago
Which equation is graphed here?
Oxana [17]

The equation graphed is

y = -3x + 3

5 0
3 years ago
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