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3 years ago

Solve the equation using the quadratic formula.

Mathematics

2 answers:

vitfil [10]3 years ago

7 0

Answer:

$x=\frac{-3\pm\sqrt{17}}{2}$

Step-by-step explanation:

We have been given an equation $x^2+3x-2=0$ . We are asked to solve the given equation.

To solve our given equation, we will use quadratic formula.

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Substitute the values:

$x=\frac{-3\pm\sqrt{3^2-4(1)(-2)}}{2(1)}$

$x=\frac{-3\pm\sqrt{9+8}}{2}$

$x=\frac{-3\pm\sqrt{17}}{2}$

Therefore, option D is the correct choice.

gayaneshka [121]3 years ago

5 0

The last one is the answer

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3 years ago

If 2a+b=6 and a−6=b, what is the value of a?

earnstyle [38]

Step-by-step explanation:

Given

2a + b = 6......equation 1

a - 6 = b

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3 years ago

Read 2 more answers

The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standar

Serggg [28]

Answer:

The 95% confidence interval is given by:

3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

s=4.798 represent the sample standard deviation

$\bar x$ represent the sample mean

n=10 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=10-1=9$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical values.