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scoundrel [369]
1 year ago
15

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

tandard form. (5 points) 4, -8, and 2 + 3i
Mathematics
1 answer:
Oksanka [162]1 year ago
4 0
We need a matching complex to 2+3i. The conjugate is 2-3i and the two factors are (x-2-3i)(x-2+3i)=(x²-4x+4+9)=x²-4x+13.
The polynomial is (x-4)(x+8)(x²-4x+13)=(x²+4x-32)(x²-4x+13)=
x⁴-4x³+13x²
+4x³-16x²+ 52x
-32x²+128x-416
x⁴-35x²+180x-416 is the 4th degree polynomial.
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Imagine your friend is writing an argument to convince adults that they should allow teens to own and use smartphones. Read her
Blababa [14]
I think it is the 2nd one

5 0
1 year ago
Which is bigger 0.96 0r 19/20
REY [17]
0.96 or 19/20

0.96 as fraction = 96/100 = 19.2 / 20      5 into 96 is 19.2 and 5 into 100 is 20

So 0.96 is the same as 19.2/20

Since 19.2 / 20  and 19 / 20 have the same denominator,  therefore the 19.2 / 20 is bigger than 19 / 20.

So the 0.96 is bigger than the 19 / 20.
7 0
2 years ago
Sociologists want to test whether the number of homeless people in a particular urban area is increasing. In 2010, the average n
Kobotan [32]

Answer:

The test statistic value is 15.3.

Step-by-step explanation:

The hypothesis for this test is:

<em>H</em>₀: The average number of homeless people is not increasing, i.e. <em>μ</em> = 42.3.

<em>H</em>ₐ: The average number of homeless people is increasing, i.e. <em>μ</em> > 42.3.

Given:

\bar x=45.3\\\sigma=6.2\\n=1000

As the population standard deviation is provided use a single mean <em>z</em>-test for the hypothesis testing.

The test statistic is:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{45.3-42.3}{6.2/\sqrt{1000}}=15.3

Thus, the test statistic value is 15.3.

7 0
1 year ago
Draw the unit circle with center (0,0)and plot the point P=(6,2). Observe there are TWO lines tangent to the circle passing thro
scZoUnD [109]

Answer:

Step-by-step explanation:

Given that a tangent is drawn from P (6,2) to unit circle with center at the origin.

The tangent passing through (6,2) would have equaiton of the form

y-6 = m(x-2)\\y =mx-2m+6 for suitable m.

Because this line is tangent, distance of centre of circle namely origin is the radius 1.

i.e. |\frac{-2m+6}{\sqrt{1+m^2} } |=1\\(-2m+6 )^2 = 1+m^2\\3m^2-24m+35=0\\\\m=1.918, 6.082

the coordinates are the intersection of the tangent with the circle

They are (-0.162, 0.987) and (0.462,-0.887)

8 0
2 years ago
Which expression is equivalent to b^-2/ab^-3 assume a=0 b=0
andrey2020 [161]
B^-2/ab^-3 = b^-2/b^-3 x 1/a = b^[-2-(-3)] x 1/a = b x 1/a = b/a
3 0
1 year ago
Read 2 more answers
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