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nlexa [21]
3 years ago
5

In your own words, how geometric seqences are related to exponetiol functions

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

Answer:

  Geometric sequences <u><em>are</em></u> exponential functions

Step-by-step explanation:

Geometric sequences <u><em>are</em></u> exponential functions.

The general term of a geometric sequence is given by the exponential function ...

  a[n] = a[1]·r^(n-1)

where a[1] is the first term and r is the common ratio.

You will notice that the independent variable (n) is in the exponent of this function. Hence it is an exponential function.

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Which of the following graphs represents the function f(x) = x4 - 2x3 - 3x2 + 4x + 1?
s2008m [1.1K]

Answer: Graph D will be correct graph for the given function.

Explanation:

Given function f(x) = x^4-2x^3-3x^2+4x+1

Since it is a bi-quadratic equation thus it must have 4 roots and (0,1) is one of its point.

Moreover, the degree of the function is even thus the end behavior of the function isf(x)\to+\infty, as x\to-\infty and f(x)\to+\infty as x\to+\infty

In graph A, function has four root but it does not have the end behavior same as function f(x).( because in this graph f(x)\to-\infty, as x\to-\infty and f(x)\to-\infty, as x\to+\infty.) so, it can not be the graph of given function.

In graph B,  neither  it has four root nor it has the end behavior same as function f(x).(because in this graph f(x)\to+\infty as  x\to-\infty and f(x)\to-\infty as x\to+\infty.) so, it can not be the graph of given function.

In graph C, neither  it has four root nor it has the same end behavior as function f(x).(because in this graph f(x)\to-\infty as  x\to-\infty and f(x)\to+\infty asx\to\infty.) so, it also can not be the graph of given function.

In graph D it has four root as well as it has the same end behavior as the given function. Also it passes through the point (0,1).

Thus, graph D is the graph of given function.



4 0
3 years ago
Read 2 more answers
-3(6 - 3k)<br>I need to Simplify the expression​
sergij07 [2.7K]

Answer:

-18+9k

Step-by-step explanation:

If you use the distributive property, you get:

(-3*6) and (-3*-3k)

If you simplify each of them you get:

-18+9k

8 0
3 years ago
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Find the average of these numbers. 23, 24, 27, 25, 26, 23, 21, 32, 29, 30
Pavel [41]

Answer:

26

Step-by-step explanation:

First, add all the numbers together

23 + 24 + 27 + 25 + 26 + 23 + 21+ 32 + 29 + 30= 260

Then divide by the number of terms there are, in this case 10

260/10= 26

6 0
3 years ago
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Solve. <br> | 3x + 1 | = 2
qwelly [4]
Since this is an absolute value equation, it will have two answers. For the first answer, take away the absolute value bars and solve 3x + 1 = 2. Subtract 1 from both sides to get 3x = 1 and divide each side by 3 to get x = 1/3. Now onto the second solution. This time, take away the absolute value bars and make the other side of the equation, the 2, negative, to get 3x + 1 = -2. Now solve this by subtracting 1 from each side to get 3x = -3 and divide each side to get the other answer which is x = -1. The answer is x = -1 or 1/3, hope this helps!
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3 years ago
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2 triangles. A triangle has a base of 2 yards and height of StartFraction 5 Over 8 EndFraction yards. The second triangle has a
Flura [38]

Answer:

It is 5/16

Step-by-step explanation:

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3 years ago
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