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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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15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000 (98)x , represents t
Norma-Jean [14]

Answer:

I'm guessing you mean f(x)=15,000(9/8)^x. If this is what you mean, the population would increase by about 12,000 (12030.4870605 to be exact).

Step-by-step explanation:

Starting equation: f(x)=15,000(9/8)^x

You can clean up the 9/8 to be 1.125

Now what you want to do is find the answer to (9/8)^5 which is 1.8020324707

Next multiply 1.8020324707 by 15,000 and you get 27030.4870605

Finally 27,030.4870605 - 15,000 gives you 12030.4870605. Which means that the population increased by about 12,000.

0 0
2 years ago
Jalen randomly chooses a number from 1 - 10 . What Is the probability he chooses a number greater than 3?
RUDIKE [14]

The answer will be D. 7/10 because you have 10 numbers and you want to have a number greater than 3 so it would be 10-3=7 and 7 would go over 10 because there are 7 numbers greater than 3 but less than 10.

8 0
2 years ago
Read 2 more answers
A flower pot’s base has six sides that are all the same length. Each side measures x−6x-6 units. The base’s perimeter is 78 unit
NemiM [27]

Answer: The answer is x = 19.

Step-by-step explanation:  Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.

We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.

Since each side of the six-sided base is (x - 6) units, so its perimeter will be

6\times(x-6)~\textup{units}.

According to the question, we have

6(x-6)=78\\\\\Rightarrow x-6=13\\\\\Rightarrow x=19.

Thus, the value of 'x' is 19 units.

6 0
2 years ago
Read 2 more answers
What is the expected value of an original Investment of $3,000 that has a 10% chance of ending up with a value of $2,000, an 80%
Sloan [31]

Answer:

Option C.

Step-by-step explanation:

The original value of  Investment = $3,000

It has a 10% chance of ending up with a value of $2,000.

Chances of loss of $1000 = 0.1

It has a 80% chance of ending up with a value of $3,500.

Chances of profit of $500 = 0.8

It has a 10% chance of ending up with a value of $4,000.

Chances of profit of $1000 = 0.1

Expected change in the value of investment is

Change=(-\$1000)(0.1)+(\$500)(0.8)+(\$1000)(0.1)

Change=-\$100+\$400+\$100

Change=\$400

The expected change in the value of the investment is $400.

The expected value of an original Investment of $3,000 is

\$3000+\$400=\$3400

Therefore, the correct option is C.

3 0
2 years ago
Write the quadratic equation whose roots are
maks197457 [2]
The quadratic equation y = ax^2 +bx+c can be written in the form:
y = a(x-p)(x-q)
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
y = 3(x-4)(x+2)
Finally, distribute and combine like terms to put it in standard form.
y = 3(x^2 - 4x+2x -8) \\  \\ y = 3(x^2 -2x-8) \\  \\ y = 3x^2 -6x -24
5 0
2 years ago
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