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Hatshy [7]
3 years ago
7

If 246 is a multiple of a

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

Answer:

FALSE

Step-by-step explanation:

246=2*3*41

If n=2 then 123=3*41 is not a multiple of n

FALSE

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For the function g(x)=3-8(1/4)^2-x
Reika [66]

Using function concepts, it is found that:

  • a) The y-intercept is y = 2.5.
  • b) The horizontal asymptote is x = 3.
  • c) The function is decreasing.
  • d) The domain is (-\infty,\infty) and the range is (-\infty,3).
  • e) The graph is given at the end of the answer.

------------------------------------

The given function is:

g(x) = 3 - 8\left(\frac{1}{4}\right)^{2-x}

------------------------------------

Question a:

The y-intercept is g(0), thus:

g(0) = 3 - 8\left(\frac{1}{4}\right)^{2-0} = 3 - 8\left(\frac{1}{4}\right)^{2} = 3 - \frac{8}{16} = 3 - 0.5 = 2.5

The y-intercept is y = 2.5.

------------------------------------

Question b:

The horizontal asymptote is the limit of the function when x goes to infinity, if it exists.

\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2+\infty} = 3 - 8\left(\frac{1}{4}\right)^{\infty} = 3 - 8\frac{1^{\infty}}{4^{\infty}} = 3 -0 = 3

--------------------------------------------------

\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 3 - 8\left(\frac{1}{4}\right)^{2-x} = 3 - 8\left(\frac{1}{4}\right)^{2-\infty} = 3 - 8\left(\frac{1}{4}\right)^{-\infty} = 3 - 8\times 4^{\infty} = 3 - \infty = -\infty

Thus, the horizontal asymptote is x = 3.

--------------------------------------------------

Question c:

The limit of x going to infinity of the function is negative infinity, which means that the function is decreasing.

--------------------------------------------------

Question d:

  • Exponential function has no restrictions in the domain, so it is all real values, that is (-\infty,\infty).
  • From the limits in item c, the range is: (-\infty,3)

--------------------------------------------------

The sketching of the graph is given appended at the end of this answer.

A similar problem is given at brainly.com/question/16533631

8 0
2 years ago
Help help help help please
Gnoma [55]

4Th option is correct ✔️ ✔️

5 0
3 years ago
Read 2 more answers
the main rotor of a helicopter rotates 430 times per minute. find the number of degrees through which a point on the main rotor
n200080 [17]

Answer:

2580 degrees rotated per second

Step-by-step explanation:

since  you have to find the degrees it rotates per second.

you need to divide 430 by 60 to find rotations per second

1)          430/60

             =  7.16666667 rotations per second

-then you have to multiply it by 360 degrees ,because their is 360 degrees in a circle

2)        7.16666667 (360)

            =  2580 degrees rotated per second

6 0
2 years ago
What is the theoretical probability that one of the 2 red marbles would be drawn from a bag including all 8 marbles shown?
LenKa [72]

Answer:

1/4

Step-by-step explanation:

3 0
3 years ago
PLS HELP THIS IS A TEST
Pie

Answer:

D: 7

Step-by-step explanation:

1.75 (7) + 4.50

12.25 + 4.50

= 16.75

16.75 < 20

8 0
3 years ago
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