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3 years ago

Describe the x-values at which f is differentiable.

Mathematics

1 answer:

Sedbober [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Differentiability at a point implies no sudden changes in the slopes from one side to the other; that is, the derivative must have the same value.

Differentiating x^2 - 6 and 6 - x^2, we get 2x = -2x, whose only solution is zero (0). The two halves of the given function have the same slope (0) at x = 0.

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What is 10×10×10+56÷25+50

OleMash [197]

What I would do is break up into part. First do 10*10*10 which is 1,000. Then add 56 and 50 which is 106. after you do that and get 1,106 divded it by 25 which is 42.54. Hope I helped.

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2 years ago

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What is:<br> -6s²+-4.5=?

ddd [48]

Answer:

-6s² + - 4.5

= -6s² +(-4.5)

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2 years ago

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Put the following rational numbers in order from least to greatest.<br><br> -8.2, 0.4, -2.5, 2.4

Lena [83]

Answer:

-8.2,-2.5,.4,2.4

Step-by-step explanation:

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3 years ago

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A researcher takes a simple random sample of 83 homes in a city and finds that the mean square footage is 1628 with a standard d

Anna [14]

Answer: (1583.63, 1672.37)

Step-by-step explanation:

Given : Sample size : n= 83

Sample mean : $\overline{x}=1628$

Sample standard deviation : $\sigma=243$

The population standard deviation $(\sigma)$ is unknown .

The confidence interval for population mean :

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}$

For 90% confidence , significance level = $\alpha=1-0.90=0.10$

Using t-distribution table , Critical t-value = $t_{(\alpha/2, n-1)}=t_{0.05,82}=1.6636$

, where n-1 is the degree of freedom.

Now , 90% confidence interval for the mean square footage of all the homes in that city will be :-

$1628\pm (1.6636)\dfrac{243}{\sqrt{83}}\\\\ 1628\pm (1.6636)(26.672715)\\\\\\\\\approx1628\pm 44.37\\\\=(1628- 44.37,\ 1628+ 44.37)\\\\=(1583.63,\ 1672.37)$

Hence, the 90% confidence interval for the mean square footage of all the homes in that city = (1583.63, 1672.37)

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2 years ago

Which statement about the following system is correct? y=-2x+5 and y=-2x+5

ch4aika [34]

Answer:

Infinite number of solutions

Step-by-step explanation:

Since the equations are both the same, we have an infinite number of solutions! The solutions lie on the graph y = -2x+5.

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3 years ago

Describe the x-values at which f is differentiable.​

Describe the x-values at which f is differentiable.