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2 years ago

What is the sum? StartFraction 3 Over x squared minus 9 EndFraction StartFraction 5 Over x 3 EndFraction.

1 answer:

6 0

The sum of the two fractional number, which consist in the variable <em>x</em> is in the polynomial function,

$f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

<h3>What is the sum of fraction number?</h3>

Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator.

Fraction number are written as,

$\dfrac{a}{b}$

Here (a) is the numerator and (b) is the denominator.

To find the sum of two fraction numbers, cross multiply both the numbers or find the least common factor as denominator.

The first fraction number given in the problem is,

$\dfrac{3}{x^2+9}$

The second fraction number given in the problem is,

$\dfrac{5}{x+3}$

Let the sum of these number is f(x). Thus,

$f(x)=\dfrac{3}{x^2-9}+\dfrac{5}{x+3}\\f(x)=\dfrac{3}{(x+3)(x-3)}+\dfrac{5}{x+3}\\$

Solve it further as,

$f(x)=\dfrac{3+5(x-3)}{(x+3)(x-3)}\\f(x)=\dfrac{3+5x-15}{(x+3)(x-3)}\\f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

Thus, the sum of the two fractional number is,

$f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

Learn more about the fraction number here:

brainly.com/question/78672

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Think about tossing two coins.

ankoles [38]

Given:

Two coins are tossed.

To find:

1. P(H on first coin)?

2. P(H on second coin)?

3. List the paired outcomes for tossing two coins.

4. How many ways are there for two coins to land?

5. What is P(HH)?

Solution:

If a a coin is tossed, then we have to possible outcomes, i.e., heads (H) and tails (T).

It is given that two coins are tossed.

1. The probability of getting a heads on first coin is:

$P(H \text{ on first coin})=\dfrac{1}{2}$

2. The probability of getting a heads on second coin is:

$P(H \text{ on second coin})=\dfrac{1}{2}$

3. If two coins are tossed, then the total possible outcomes are:

$\{HH,HT,TH,TT\}$

4. The number of ways for two coins to land is 4.

5. The probability of the heads on both tosses is:

$P(HH)=\dfrac{1}{4}$

Therefore, the required solution are:

1. $P(H \text{ on first coin})=\dfrac{1}{2}$

2. $P(H \text{ on second coin})=\dfrac{1}{2}$

3. List of possible outcomes is $\{HH,HT,TH,TT\}$ .

4. Number of possible outcomes is 4.

5. $P(HH)=\dfrac{1}{4}$

5 0

3 years ago

Triangle ABC is similar to triangle DEF. What is the value of x ?

Delicious77 [7]

48382939392838338383839

5 0

3 years ago

I need help with this q8

lbvjy [14]

Answer:

y=5x

Step-by-step explanation:

From (2,10) you rise 25 in the y direction and run 5 in the x direction to get to the next known point (7,35).

Thus, the slope is y=25/5x AKA y=5x

8 0

4 years ago

Researches notice a grey whale cruising at a depth of 233 feet below sea level. It rises 73 feet and then comes up another 40 fe

musickatia [10]

Answer:

The whale is at a depth 120 feet below the sea level.

Step-by-step explanation:

A grey whale is cruising at a depth of 233 feet below sea level. The depth below the sea level has the negative position, thus the initial position of the whale is -233.

It rises 73 feet, the position of the whale becomes 73 feet higher. This means we should add 73.

Then it comes up another 40 feet, so we need to add 40.

Mathematically,

$-233+73+40=-160+40=-120$

The whale is at a depth 120 feet below the sea level.

3 0

3 years ago

What is the area of the triangle?<br> 10,6,8

Ivenika [448]

Answer:

multiply then divide then multiply again

4 0

3 years ago