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3 years ago

Solve the rational equation 2x^2 + 1/x-1 + x = 3 + 3/x -1 A. X= 1/3, x= 1 B. X=1/3 C. X=1 D. There is no solution

Mathematics

2 answers:

serious [3.7K]3 years ago

7 0

Answer:

There is no solution

Step-by-step explanation:

Given the rational equation 2x^2 + 1/x-1 + x = 3 + 3/x -1

We are to find the value of x

Collect like terms

2x²+x-3 = 3/x-1 - 1/x-1

2x²+x-3 = 2/x-1

Cross multiply

(2x²+x-3) (x-1) = 2

2x³-2x²+x²-x-3x+3-2 = 0

2x³-x²-4x+1 = 0

Since we cannot factor the polynomial, hence there is no solution

Pachacha [2.7K]3 years ago

3 0

Answer:

1/3

Step-by-step explanation:

a p e x

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An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

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A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

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3 years ago