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soldi70 [24.7K]
3 years ago
5

What are the possible numbers of positive, negative, and complex zeros of f(x) = x6 + x5 + x4 + 4x3 − 12x2 + 12?

Mathematics
2 answers:
gladu [14]3 years ago
5 0
As per Descartes Theorem, a polynomial of degree n (n is the highest exponent of a polynomial) has n roots (or number of zeros) be it positive, negative, real or complex.

in f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12, the highest degree is 6, then it has 
a total of 6 zeros, positive, negative, real or complex.
Lina20 [59]3 years ago
3 0

Answer:

Positive: 2 or 0; negative: 4, 2, or 0; complex: 6, 4, 2, or 0

Step-by-step explanation:

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3 years ago
Please help me I need this question done by tonight. The amount that a consultant charges for her work can be modeled using a li
nataly862011 [7]

Answer: The consultant earn $50 each hour.

Explanation:

It is given that for 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. The amount that a consultant charges for her work can be modeled using a linear function.

If the linear function represents the amount earn by consultant in hours the the coordinates can be written as (4, 400) and (5, 450).

If we want to find how much money does the consultant earn each hour, so first we have to find the slope of linear function which passing through two points (4, 400) and (5, 450).

\text{Slope}=\frac{y_2-y_1}{x_2-x_1}

\text{Slope}=\frac{450-400}{5-4}

\text{Slope}=\frac{50}{1}

\text{Slope}=50

In the linear function the slope show the earning of consultant per hour, therefore consultant earn $50 each hour.

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3 years ago
Apples are on sale for 5 for $3, how much does one apple cost?
evablogger [386]
The cost of one apple is I think $1.68
5 0
2 years ago
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Write each ratio in simplest form 6 lemons to 15 limes
Mekhanik [1.2K]

Answer:

6:15

Step-by-step explanation:

We can simplify the ratio 6 : 15 by dividing both terms by the greatest common factor (GCF).

The GCC of 6 and 15 is 3

Divide both terms by 3:     6 ÷ 3 = 2    &    15 ÷ 3 = 5

Reducing to simplest form:

6 : 15    =    2 : 5

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<span>D. - </span>\frac{5}{9}
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