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iren2701 [21]
3 years ago
8

Which of the following statements are true?

Mathematics
2 answers:
astraxan [27]3 years ago
8 0
C I think the answer is
cestrela7 [59]3 years ago
4 0

Answer:

Option: D  Both graphs have exactly one asymptote.

Step-by-step explanation:

  • Clearly by looking at the graph of the two functions i.e. f(x) and g(x) we could observe that the graph of function f(x) is similar to the graph of the exponential function and the graph of the function g(x) is similar to the graph of the logarithmic function.

Hence, Option: B and option: C are discarded.

  • Also we could observe that the graph of the function f(x) with respect to the parent function e^x is shifted by some units above but not flipped.
  • The graph of the function g(x) with respect to the parent function log (x) is both shifted as well as flipped.

Hence, option: A is discarded.

  • Also, we know that both the exponential function and the logarithmic function have exactly one asymptote.

Hence, option: D is the correct answer.

 

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The angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the
Hatshy [7]

Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

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GarryVolchara [31]

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3 years ago
12x - 5 = 8x - x + 50<br> Help please show work and check the solution
Inga [223]

Answer:

x = 11

Step-by-step explanation:

12x - 5 = 8x - x + 50 \\ 12x - 5 = 7x + 50 \\ 12x - 5 - 7x = 7x + 50 - 7x \\ 12x - 7x - 5 = 50  \\ 5x - 5 = 50 \\ 5x - 5 + 5 = 50 + 5 \\ 5x = 55 \\ x = 11

and check:

12(11) - 5 = 8(11) - (11) + 50 \\ 132 - 5 = 77 + 50 \\ 127 = 127

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