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Y_Kistochka [10]
2 years ago
15

How do you solve x2 – 4 = 5 by graphing the related function

Mathematics
1 answer:
vova2212 [387]2 years ago
5 0

Answer:

  see attached

Step-by-step explanation:

The related function we like to graph is the one that has the solutions as its zeros.

__

Subtract 5 from both sides.

  x² -9 = 0

This is now in the form ...

  f(x) = 0

The related function is then ...

  f(x) = x² -9

and its zeros are the solutions to the original equation. The zeros (x-intercepts) of f(x) are x = -3 and x = 3.

__

<em>Additional comment</em>

The second attachment shows a graph of the given equation. Essentially, its graph is two points on the number line: x = -3 and x = 3.

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Answer:

61 and -87

Step-by-step explanation:

If the numbers are x and x - 148, we can write the following equation:

x + x - 148 = -26

2x - 148 = -26

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3 years ago
A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e
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Answer:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

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The p value for this case would be given by:

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Step-by-step explanation:

Information given

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\alpha=0.05 represent the confidence level  

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System of hypothesis

We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 25

Alternative hypothesis: \sigma^2

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And replacing we got:

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df = n-1 = 15-1=14

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p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

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