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Maru [420]
2 years ago
6

The quadratic function f(x) has real coefficients. Given that f(3 - 2i) = 0, what must be the

Mathematics
1 answer:
pishuonlain [190]2 years ago
4 0

Answer:

Option (C)

Step-by-step explanation:

Conjugate root theorem:

If (a - bi) is a root of a polynomial with real coefficients, then (a + bi) will be the other root.

By this theorem, if (3 - 2i) is one root of the quadratic function 'f', other root will be (3 + 2i).

Therefore, x = (3 + 2i) will be the other root.

Option (C) will be the answer.

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P(x) is a polynomial with integer coefficients and p(-3) = 0.
natka813 [3]

Answer:

x + 3 is a factor of the polynomial.

Step-by-step explanation:

We have been given that p(x) is a polynomial with integer coefficient.

Also p(-3)=0

Since, p(-3) =0, hence, we can say that -3 is a zero of the polynomial.

Now, we apply factor theorem.

Factor Theorem: If 'a' is a zero of a function f(x) then (x-a) must be a factor of the function f(x).

Applying this theorem, we can say that (x+3) must be a factor of the polynomial.

Hence, first statement must be true.

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3 years ago
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Answer:

Its A.

Step-by-step explanation:

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3 years ago
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△FSB∼△ZDR .<br><br> What is the value of x?<br><br> Enter your answer.<br><br> How many units?
kari74 [83]
Answer: 22

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

Explanation:

The triangles are similar, so we know the corresponding sides form ratios that are equal. 

Note how...
FS and ZD are the first two letters of FSB and ZDR respectively
FB and ZR are the first & last letters of FSB and ZDR respectively

Based on those two facts above, we can form this proportion
FS/ZD = FB/ZR
38/15.2 = 55/x

Solve for x
38/15.2 = 55/x
38*x = 15.2*55
38*x = 836
x = 836/38
x = 22

4 0
3 years ago
Please help! How do I solve this?
Advocard [28]
m\angle 6=m\angle3\\&#10;8x+7=6x+32\\&#10;2x=25\\&#10;x=12.5\\\\&#10;m\angle 6=8\cdot12.5+7=100+7=107\Rightarrow D&#10;
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3 years ago
If the tax rate is 9.5%. determine how much tax you will need to pay on your order
7nadin3 [17]

Answer:

In order to calculate the sales tax of an item, we need to first multiply the pre-tax cost of the item by the sales tax percentage after it has been converted into a decimal. Once the sales tax has been calculated it needs to be added to the pre-tax value in order to find the total cost of the item.

Step-by-step explanation:

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3 years ago
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