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Nonamiya [84]
3 years ago
15

HELP!!!! I think its C but I'm not sure!

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0

Answer:

The fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are x=1\pm i\sqrt{7}.

Step-by-step explanation:

Consider the provided information.

Algebra's fundamental theorem states that: Every polynomial equation of degree n with complex coefficients has n roots in the complex numbers.

Now consider the provided equation.

2x^2-4x+16=0

The degree of the polynomial equation is 2, therefore according to Algebra's fundamental theorem the equation have two complex roots.

Now find the root of the equation.

For the quadratic equation of the form ax^2+bx+c=0 the solutions are: x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=2,\:b=-4,\:\ and \ c=16 in above formula.

x_{1,\:2}=\frac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:2\cdot \:16}}{2\cdot \:2}

x_{1,\:2}=\frac{4\pm \sqrt{16-128}}{4}

x_{1,\:2}=\frac{4\pm \sqrt{-112}}{4}

x_{1,\:2}=\frac{4\pm 4i\sqrt{7}}{4}

x_{1,\:2}=1\pm i\sqrt{7}

Hence, the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are x=1\pm i\sqrt{7}.

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Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest t
vitfil [10]

Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.

Explanation:

The given data is 900, 35, 500 and 300.

The number of observation is 4.

Formula of mean is,

\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}

\bar{X}=\frac{900+35+50+300}{4} =433.75

The formula of variance is given below,

\sigma^2=\frac{1}{n}\sum{(X-\bar{X})^2}

\sigma^2=\frac{398668.75}{4}

\sigma^2=99667.19

The variance of the data is 99667.19

\sigma=\sqrt{99667.19}

\sigma=315.7011

The standard deviation of the data is 315.7011.

The other information or values of given chart is shown in the attached table.

8 0
3 years ago
Read 2 more answers
HELP ME PLEASE!!!!
horsena [70]
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Look at the square root like "x", then
2\sqrt5+3\sqrt5-\sqrt5=/2x+3x-x=4x/=4\sqrt5

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3 years ago
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Step-by-step explanation:

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A washer and a dryer cost $737 combined. The washer costs $37 more than the dryer. What is the cost of the dryer
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Step-by-step explanation:

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2 years ago
(3/5)^2 + 4 x 3 - 2<br><br><br><br><br> Please help :)
Molodets [167]

Answer:

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Step-by-step explanation:

\bigg(  \frac{3}{5} \bigg)^{2}  + 4 \times 3 - 2 \\  \\  =  \frac{9}{25}  + 12 - 2 \\  \\  =  \frac{9}{25}  + 10 \\  \\  =  \frac{9 + 10 \times 25}{25}  \\  \\  =  \frac{9 + 250}{25}  \\  \\  =  \frac{259}{25}  \\  \\  = 10 \frac{9}{25}

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