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hichkok12 [17]
3 years ago
13

If a polynomial with real coefficients is of degree 3. Can we say there must be at least 1 real root?

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

A polynomial of degree 3 has 3 linear factors… (1): (x - i ) (x + i ) (x + a) . If any 2 factors are conjugate as here first 2 factors are conjugate with complex roots. So at least one root should be real.

Step-by-step explanation:

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To move a function, you need to _____ it.
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Answer:

the answer for apex is shift

Step-by-step explanation:

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Find each product using the FOIL method <br><br> (6d-5)(4d-7)<br><br> Plz help!
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The answer is 24d^2-62d+35
4 0
3 years ago
One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the bounda
Pani-rosa [81]
We are given an equation:
(x+10)^{2} +  (y-8)^{2} = 16

This is an equation of a circle. General form of a circle equation is:
(x-a)^{2} + (y-b)^{2} = r^{2}
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle

Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.

From the equation we have:
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7 0
3 years ago
Read 2 more answers
Find the length of a side of a square if its área is 4/25 cm2
USPshnik [31]

Answer:

2/5cm or 0.4cm

Step-by-step explanation:

Area of square = Side^{2}

Thus, Side = \sqrt{Area}

= \sqrt{4/25}

= 2/5 cm = 0.4cm

4 0
3 years ago
A sample of small bottles and their contents has the following weights (in grams): 4, 2, 5, 4, 5, 2, and 6. What is the sample v
Inessa05 [86]

Answer:

What is the sample variance of bottle weight 2.33

Step-by-step explanation:

First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.

Mean = (4+2+5+4+5+2+6) / 7

          = 28 / 7

          = 4

Sample Variance = \frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}

                             =\frac{0+4+1+0+1+4+4}{6}

                             = 2.33

3 0
3 years ago
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