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4 years ago

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

Mathematics

1 answer:

kompoz [17]4 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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A local RadioShack store wants to buy a new line of plasma TVs. Manufacturer A offers chain discounts of 18/12, and Manufacturer

andrezito [222]

Given that a<span> local RadioShack store wants to buy a new line of plasma TVs. Manufacturer A offers chain discounts of 18/12, and Manufacturer B offers terms of 17/13.

Let the list price of the plasma TVs be x, then after a chain discount of 18/12 by Manufacturer A, the selling price of the plasma TVs will be (1 - 0.18)(1 - 0.12)x = 0.82(0.88)x = 0.7216x

Also, after the discount of 17/13 by manufacturer B, the selling price of the plasma TVs will be (1 - 0.17)(1 - 0.13)x = 0.83(0.87)x = 0.7221x

Thus, the final selling price after discount by manufacturer A is 0.7216 and the final selling price after dscount by manufacturer B is 0.7221x.

Therefore, Manufacturer A offers a </span><span>single equivalent discount rate that is the best deal.</span>

7 0

3 years ago

someone please help :( a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Ore

Volgvan

Answer:

Oregon:

Median: 467.5

Mean: 451.33

Standard Deviation: 113.6

Washington:

median: 380

Mean: 396.6

Standard deviation: 56.3

Step-by-step explanation:

To calculate the median, we need to organize the price and select the value that is in the middle position.

To calculate the mean, we need to sum all the values and divide them by the number of values

To calculate the standard deviation, we need to square the distances between every price and the mean, sum it all and divide them by the number of values less 1 and finally calculate the square root.

So, for Oregon, the organized values are:

$295, $345, $460, $475, $538, $595

The median is a value between $460 and $475. it is calculated as:

$\frac{460+475}{2}=467.5$

The mean is:

$\frac{295+475+345+595+538+460}{6}=451.33$

The standard deviation is:

$\sqrt{\frac{(295-451.3)^2+(475-451.3)^2+(345-451.3)^2+(595-451.3)^2+(538-451.3)^2+(460-451.3)^2}{6-1}}=113.6$

At the same way, we can calculate the median, mean, and standard deviation for Washington and get:

median: 380

Mean: 396.6

Standard deviation: 56.3

3 0

3 years ago

Match each inequality to the number line that represents its solution

vlada-n [284]

the first one that is x-99....... goes to the second answer box

the second that is x-51......... goes to the first answer box

the third that is 150+x......... goes to the fourth answer box

the fourth that is 69-x......... goes to the third answer box

3 0

3 years ago

Read 2 more answers

X^2+11x+30 ?????????????????????

kari74 [83]

Solution:

X^2+11x+30

=X^2+(6+5)x+30

=X^2+6x+5x+30

=X(x+6)+5(x+6)

=(X+6)(x+5).

So,the answer is (x+6)(x+5).

4 0

3 years ago

5x=2x-2+2x is true for

Svet_ta [14]

X=-2 is the answer to your question.

3 0

3 years ago