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Stolb23 [73]
1 year ago
6

What are the domain,range,and asymptote of h(x=6^x-4

Mathematics
1 answer:
yuradex [85]1 year ago
4 0
Hey friend! Let me see what I can do for you!
~
The exponential form that you have listed does not nor will it ever contain any Vertical Asymptotes.
However it does have a Horizontal Asymptote. In order to find that we will use the form of y = k where k = 0 making 0 our Horizontal Asymptote.
For the domain we don't have any defined/undefined points so, I assume the kind of answer you are looking for is all real numbers. As the value we would get would be.. -\infty \ \textless \  x \ \textless \  \infty
For the range we use the format f(x) > k  where we know k = 0, therefore our range is f(x) = 0. Or infinity. 0 is most applicable.

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How to write eight ten-thousandths of thirty-five million in scientific notation?
VashaNatasha [74]
Eight ten-thousandths = 8*(1/10,000) = 8/10⁴ = 8 x 10⁻⁴.
Thirty-five million = 35*(1,000,000) = 35 x 10⁶

Therefore eight ten-thousandths of thirty-five million is
(8 x 10⁻⁴) * (35 x 10⁶)
= 280 x 10⁶⁻⁴
= 280 x 10²
= (2.8 x 10²) * 10²
= 2.8 x 10⁴

Answer:  2.8 x 10⁴
5 0
2 years ago
A caterer provides a conference banquet for a price of $40 per person for 20 or fewer people but will decrease the price by $1 p
mel-nik [20]

Answer:

The maximum revenue is $900, obtained with 30 people

Step-by-step explanation:

Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.

f(x) = x*(40-(x-20)) = -x²+60x

Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).

f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.

The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30

for x = 30, f(x) = 30*(40-(30-20))=30*30=900

So the maximum revenue is $900.

7 0
2 years ago
TJ is thinking of a number
Likurg_2 [28]

Answer:

\frac{1}{3}n - 5

Step-by-step explanation:

If n is the number that TJ is thinking, then says he found 1 third of the number, you would multiply 1/3 by n. Then he says to subtract 5, which would be the -5.

8 0
1 year ago
A financial advisor tells you that you can make your child a millionaire if you just start saving early. You decide to put an eq
Blababa [14]

Answer:

$12159 per year.

Step-by-step explanation:

If I invest $x each year at the simple interest of 7.5%, then the first $x will grow for 35 years, the second $x will grow for 34 years and so on.

So, the total amount that will grow after 35 years by investing $x at the start of each year at the rate of 7.5% simple interest will be given by

x( 1 + \frac{35 \times 7.5}{100}) + x( 1 + \frac{34 \times 7.5}{100}) + x( 1 + \frac{33 \times 7.5}{100}) + ......... + x( 1 + \frac{1 \times 7.5}{100})

= 35x + \frac{x \times 7.5}{100} [35 + 34 + 33 + ......... + 1]

= 35x + \frac{x \times 7.5}{100} [\frac{1}{2} (35) (35 + 1)]

{Since sum of n natural numbers is given by \frac{1}{2} (n)(n + 1)}

= 35x + 47.25x

= 82.25x

Now, given that the final amount will be i million dollars = $1000000

So, 82.25x = 1000000

⇒ x = $12,158. 05 ≈ $12159

Therefore. I have to invest $12159 per year. (Answer)

5 0
2 years ago
Which pair of variables shows a clear causal link?
xxTIMURxx [149]
The number of lights switched on in a room and the room's brightness.
8 0
2 years ago
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