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GarryVolchara [31]
3 years ago
9

What is the root of the polynomial equation x(x-2)(x+3)=18

Mathematics
2 answers:
Stells [14]3 years ago
8 0

Answer:

The root of the polynomial is 3

Step-by-step explanation:

To find the root of the polynomial x(x-2)(x+3)=18

We can use a graphing utility and the system of equations.

We can have the equations;

y = x(x-2)(x+3) ......(i)

Therefore, from the initial equation;

y = 18 ..................... (ii)

We can then plot the graph using the equations, and the x-coordinate of the point of intersection will be the root of the equation.

From the graph, the x-coordinate is 3, since the intersection point is (3,18).

Therefore; <u>the root of the equation is 3.</u>

Marina86 [1]3 years ago
6 0

Answer: D the answer is 3

Step-by-step explanation: just took the test

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What is the value of x
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Answer:

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Step-by-step explanation:

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3 years ago
The prices of all college textbooks follow a bell-shaped distribution with a mean of $113 and a standard deviation of $12. Using
Soloha48 [4]

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

  • 68.27% of the data lies within one standard deviation of the mean.

  • 95.45% of the data lies within two standard deviations of the mean.

  • 99.73% of the data lies within three standard deviations of the mean.

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

                             \Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})

where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution N(113, \ 12),

                \Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

5 0
2 years ago
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