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2 years ago

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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2 years ago

The function f(x) = 1.50x – 30 gives the amount of money Amelia has to spend each week for x school lunches, after taking money

Naya [18.7K]

To find the inverse, switch the x and y, and then solve for y (f(x) is the same as y)

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3 years ago

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Amanda [17]

Answer:

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Step-by-step explanation:

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2 years ago

Georgia has a budget of $8 for a new notebook. She wants to spend within $5 of her budget, so she uses the equation 5 = |8 – x|

siniylev [52]

Answer:

Minimum: 3

Maximum: 13

Step-by-step explanation:

Georgia uses the equation

5 = |8 – x| to find the maximum and minimum values.

We solve the equation for x.

$5 = |8 - x|$

By the definition of the absolute value function, we must have:

$- 5 = 8 - x \: or \: 5 = 8 - x$

We subtract 8 from both sides to get:

$- 5 - 8 = - x \: or \: 5 - 8 = - x$

$- 13 = - x \: or \: - 3 = - x$

This simplifies to:

$13 = x \: or \: 3 = x$

Therefore the minimum value is 3 and maximum is 13

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3 years ago