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3 years ago

If f(x)= x2/x+3, find f(x+h)?

Mathematics

1 answer:

kompoz [17]3 years ago

6 0

f(x+h) = $\frac{x^{2}+2xh+h^{2} }{x+h+3}$

Step-by-step explanation:

Given,

f(x) = $\frac{x^{2} }{x+3}$

To find the value of f(x+h) we need to replace x by x+h

Hence,

f(x+h) = $\frac{(x+h)^{2} }{x+h+3}$

= $\frac{x^{2}+2xh+h^{2} }{x+h+3}$

[Here, we apply the formula of $(a+b)^{2}= a^{2} +2ab+ b^{2}$ ]

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Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she exp

Amanda [17]

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

<h3>What are Units conversions?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

= €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

$\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72$

The amount that is left with Kari,

$\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)$

$= \$585-\$580.72\\\\=\$4.28$

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

$\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72$

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

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2 years ago

If the level of significance of a hypothesis test is raised from 0.005 to 0.2, the probability of a type ii error will:_________

LiRa [457]

The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.

<h3 /><h3>What is a type II error?</h3>

A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.

It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.

<h3>How the type II error is related to the significance level?</h3>

The relation between type II error and the significance level(α):

The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
Thus, if the significance level increases, the type II error decreases and vice-versa.

From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.

Learn more about type II error of a hypothesis test here:

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2 years ago

The main mast of a fishing boat is supported by a sturdy rope that extends from the top of the mast to the deck. If the mast is

ArbitrLikvidat [17]

25
a^2+b^2=c^2
20^2+15^2=c^2
400+225=c^2
625=c^2
**square root both sides**
c=25

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3 years ago

If an angle measuring 20 is bisected to form two new angles, what is the measure of each new angle

alexgriva [62]

Answer:

10 degrees

Step-by-step explanation:

Bisection means dividing into two equal parts

So, if we bisect an angle measuring 20 degrees

It will divide into 2 equal parts and:

=> 20/2 = 10 degrees

Two angles of 10 degrees will be formed.

4 0

3 years ago

How do i find the standard deviation of test scores

user100 [1]

Answer:

Step-by-step explanation:

Solve for the mean (average) of the five test scores.

Subtract that mean from each of the five original test scores. Square each of the differences.

Find the mean (average) of each of these differences you found in Step 2.

Take the square root of this final mean from #3. This is the standard deviation.

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3 years ago

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