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Tasya [4]
3 years ago
10

How many real and complex roots exists for a polynomial?

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Step-by-step explanation:

whenever a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial. as an example, we'll find the roots of the polynomial..

x^5 - x^4 + x^3 - x^2 - 12x + 12.

the fifth-degree polynomial does indeed have five roots; three real, and two complex.

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The concentration C (in mg/dl), of an antibiotic in a patient’s bloodstream per hour, t, is given by: c(t) = (50t)/(t^2+25) In o
NARA [144]

Answer:

Step-by-step explanation:

<u>Functions </u>

The problem describes a function that expresses the concentration of an antibiotic in mg/dl vs time in hours as:

\displaystyle c(t)=\frac{50\ t}{t^2+25}

We need to find the first value of t such that

\displaystyle c(t)\geq 4

It means that

\displaystyle \frac{50\ t}{t^2+25}\geq 4

Operating with the inequality

\displaystyle 50\ t\geq 4\ t^2+100

Rearranging and dividing by 2, we have a polynomial inequality:

\displaystyle 2t^2-25t+50\leq 0

Factoring

\displaystyle 2(t-10)\left (t-\frac{5}{2}\right )\leq 0

There are two possible values for t, both valids because they are positive

\displaystyle t=\frac{5}{2}=2.5, \ t=10

We need to find the first value, i.e.

t=2.5 \ hours

Now for the graphic method, we plot the graph for the function and a horizontal line at c=4 to find the values of t.

The graph is shown in the image provided below. We can see both values where the funcion and C=4 intersect. Both values coincide with the previously analitically found values

4 0
3 years ago
Helppppppppppppppppppppppppppppp Fasttttt
sertanlavr [38]
What you have to do is multiply each of the sides so you have 80, 60, and 48.

Add those up to get 188. Then multiply this by 2 and you get 376.

Your answer is D. (376)

P.S if this helped you out, please give me brainliest if you don't mind. I am only a few more from leveling up :D
5 0
4 years ago
Write the expression as a cube of monomial:<br><br><br> 27x^12
Gnoma [55]

Step-by-step explanation:

ax=axn to rewrite

3√27x12 as (27x12)1/3

to rewrite

3√(3x^4)3

Pull terms out from under the radical, assuming real numbers.

3X^4

3 0
3 years ago
I need help to reduce these numbers i need help please
valina [46]
All you have to do is understand what fraction it is and reduce it. So first you have to figure out what the word reduce means and the word means another to figuring it out in its lowest terms and for example, your fraction 2/24 can be reduced in its simplest terms 1/12 and the way i did that was that i'd had to divide both the numerator and denominator by 2 because I know that both the numerator and denominator are divisible by 2 and so if you divide you get 1/16 and that's how you reduce fractions and so follow this procedure and you'll get everything correct.
8 0
3 years ago
Need help on this ????
hodyreva [135]

Answer:A

Step-by-step explanati

3 0
3 years ago
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