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3 years ago

Solve by completing the square with working out -6x-x^2-8

Mathematics

1 answer:

horrorfan [7]3 years ago

4 0

Answer:

x = -3 +/- sqrt(17)

Step-by-step explanation:

-6x - (x^2) - 8 = 0

-((x^2) + 6x + 8) = 0

(x^2) + 6x + 8 = 0

(x + 3)^2 - 1 = 0

(x + 3)^2 = 1

x + 3 = +/- sqrt(1)

x + 3 = +/- 1

x = -3 +/- 1

x = -4, -2

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Find the missing segment in the image below

Bogdan [553]

Answer:

Step-by-step explanation:

Intercept theorem

DE // CB ⇒ $\frac{AD}{AC} = \frac{AE}{AB}$

⇒ $\frac{6}{6+?} =\frac{4}{4+2}$

⇒ ? = 3

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3 years ago

A population has a standard deviation of 5.5. What is the standard error of the sampling distribution if the sample size is 81?

VladimirAG [237]

Answer:

$\sigma = 5.5$

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution $\bar X$ and for this case we know that the distribution is given by:

$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error would be:

$\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611$

Step-by-step explanation:

For this case we know the population deviation given by:

$\sigma = 5.5$

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution $\bar X$ and for this case we know that the distribution is given by:

$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error would be:

$\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611$

4 0

3 years ago

Multiplying Powers with different Bases Picture Attached please help I’m on a quiz so I need the answer right

stira [4]

Answer:

12800

Step-by-step explanation:

(8 * 8 * 8) * (5 * 5)

512 * 25

12800

7 0

3 years ago

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Zanzabum

Answer:

36.8 minutes or 36 minutes 48 seconds

Step-by-step explanation:

8 percent of 40 is 3.2

(.08 times 40)

40 minus 3.2 is 36.8 :)

(.8 times 60 is 48)

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3 years ago

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xxMikexx [17]

Let x = the minutes that Tom has remaining before exceeding 500 minutes.

Because he has already used 230 minutes, the total minutes he has is
x + 230
We want this total to be less than or equal to 500 minutes.
Therefore
x + 230 ≤ 500

Answer: x + 230 ≤ 500

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3 years ago

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