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3 years ago

NEED HELP ASAP i need to simplify (f+g)(x) if f(x) = x+4 and g(x) = 3x^2-8

Mathematics

1 answer:

kogti [31]3 years ago

5 0

We can also think of this problem as f(x) + g(x). Therefore, all we need to do is add the two functions together.

x + 4 + 3x^2 - 8 || Write it out!

3x^2 + x + 4 - 8 || Rearrange in order of decreasing exponents. No need to combine and rearrange all at once!

3x^2 + x - 4 || Combine like terms!

Hope this helps!! :)

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A small town has 3500 families. The population mean (mu) number of children per family is = 3, with a population standard deviat

natita [175]

Answer:

Let X the random variable that represent the variable of interest of a population, and for this case we know the following info:

Where $\mu=3$ and $\sigma=0.6$

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

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

And the mean of this distribution is:

$\mu_{\bar X}= \mu= 3$

And the deviation is:

$\sigma_{\bar X}= \frac{0.6}{\sqrt{100}}= 0.06$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the following info:

Where $\mu=3$ and $\sigma=0.6$

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

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

And the mean of this distribution is:

$\mu_{\bar X}= \mu= 3$

And the deviation is:

$\sigma_{\bar X}= \frac{0.6}{\sqrt{100}}= 0.06$

4 0

3 years ago

this table shows input and output values for a linear function f(x). What is the difference of outputs for any two inputs that a

Solnce55 [7]

The answer is 0.5.

X is the input and f(x) is the output. Between -3 and -2 the difference is 0.5. Because it goes from -0.5 to 1

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3 years ago

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Blizzard [7]

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3 years ago

Erica filled 2/5 of a page of her notebook on Monday. She filled 5/6 of a page on Tuesday. How many pages did Erica fill in her

SOVA2 [1]

2/5 + 5/6

Start with the denominator

To compare or combined they must be the same kind. Basically the bottom numbers have to be the same.

5 x 6 = 30

Now go across from the bottom number to the top

5 x 5 = 25
6 x 2 = 12

12/30 + 25/30 = 37/30

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4 years ago

Si un gramo de chocolate vale$38.25¿cuánto costarán 750 gramos?

Anna007 [38]

Answer:

28687.5

Step-by-step explanation:

Un gramo equivale a $38,25, por lo que si tenemos 750 de esos gramos, tendríamos que multiplicarlos para obtener el costo total.

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2 years ago