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3 years ago

What is the difference of the rational expression below? 3x/x+1 - 5/x

Mathematics

1 answer:

emmainna [20.7K]3 years ago

8 0

Answer:

3x%x+1-5/5

3× 5x

Step-by-step explanation:

3x-5x

35yx 53yx

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ella [17]

8208 total tickets / 12 concerts =
684 tickets per concert.

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3 years ago

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In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur

miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = $^{18}C_{2}$

$^{18}C_{2} = \frac{18!}{(18-2)!2!}$

$^{18}C_{2} = \frac{18!}{16!2!}$

$^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}$

$^{18}C_{2} = \frac{18\times17}{2\times1}$

$^{18}C_{2} = \frac{306}{2}$

$^{18}C_{2} = 153$

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

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2 years ago

A new surgery is successful 75% of the time. if the results of 10 such surgeries are randomly sampled, what is the probability t

valentinak56 [21]

$\text{Binomial Distribution: } P(X = r) = \binom{n}{r}(p)^{r}(1 - p)^{n - r}$
$P(X < 9) = 1 - P(X = 9) - P(x = 10)$

$P(X = 9) = \binom{10}{9}(0.75)^{9}(0.25)$
$P(X = 10) = \binom{10}{10}(0.75)^{10}$

$P(X < 9) = 1 - \binom{10}{9}(0.75)^{9}(0.25) - \binom{10}{10}(0.75)^{10}$
$\approx 0.755974769...$

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3 years ago

The revenue from selling x shirts is f(x) = 15x.

Virty [35]

Answer:

p(x) = 8x - 20

Step-by-step explanation:

revenue from selling x shirts is f(x) = 15x

The cost of buying x shirts is c(x) = 7x + 20

p(x) = f(x) - c(x)

To solve this, we need to substitute value of f(x) and c(x) in formula for p(x)

p(x) = f(x) - c(x)

p(x) = 15x -( 7x + 20)

=> p(x) = 15x - 7x -20

=> p(x) = 8x -20

Thus, profit is p(x) = 8x - 20.

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3 years ago

X + 1 > 3 how many solutions are there?

vagabundo [1.1K]

Answer:

its infinite

Step-by-step explanation:

Given equation is 2x+1=x−3

That is 2x−x=−3−1

⇒x=−4

Thus there is only one point on the number line that satisfies the equation x=−4, but on cartesian plane i.e. X-Y plane , there are infinite number of solutions as x=−4, and y can have any real value.

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3 years ago