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Sergio039 [100]
3 years ago
8

According to the fundamental theorem of algebra, how many zeros does the function f(x)=4x^3-x^2-2x+1 have?

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0
Since the maximum exponent of x is 3, there should be three roots.
Unless you have a root squared and multiplyed by a different root, you will only have two roots since two are the same.
Also, if all three roots are the same, you only have one root.
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Answer:

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Step-by-step explanation:

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Can someone help me i am confused
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Answer:

3. 2

4. f(n) = 3 + 4(n - 1)

Step-by-step explanation:

3. The general term of the arithmetic sequence is given by:

                                    A(n) = - 14 + (n - 1)(2)

To find the ninth term of this arithmetic sequence, just put $ n = 9 $ in the general term.

∴ A(9) = - 14 + (9 - 1)(2) = - 14 + 8(2) = -14 + 16 = 2.

Therefore the ninth term in the arithmetic sequence is two.

4. To know which expression represents the given sequence, substitute different values for $ n $ to conclude.

In Option A, f(n) = 4 + 3(n - 1). Substitute n = 1.

We get f(1) = 4 + 3(0) = 4. This is not the first term in the sequence and can be eliminated.

In Option B, f(n) = 4 + 3n. Substitute n = 1.

We get f(1) = 4 + 3(1) = 7, not 3 so can be eliminated.

Similarly in Option C, we get 7 and could be eliminated.

In Option D, f(n) = 3 + 4(n - 1). Substitute n = 1.

We get f(1) = 3 + 4(1 - 1) = 3, which is the first term in the sequence.

Similarly, f(2) = 3 + 4(2 - 1) = 3 + 4 = 7.

Substitute n = 3, 4 to get other terms as well.

So, we say f(n) = 3 + 4(n - 1) is the representation of the given arithmetic sequence.

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Mark bought two candy bars and a soda for $3.96. If each candy bar cost $1.10 how much did the soda cost?
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Answer:

$1.76

Step-by-step explanation:

$1.10+$1.10 = $2.2

$3.96 - $2.2 = $1.76

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2 years ago
What is 1 plus 2 plus 3.... plus 200?
Aneli [31]

Answer:

20100

Step-by-step explanation:

There are 200 numbers in this addition problem. To add this, we can do 1 + 200, 2 + 199, 3 + 198 and so on. All of these pairs have a sum of 201 and since there are 200 / 2 = 100 pairs the answer is 201 * 100 = 20100.

6 0
3 years ago
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