All categories

3 years ago

Please help and show step by step pls

Mathematics

1 answer:

Brut [27]3 years ago

3 0

First notice that

x ² + 5x + 6 = (x + 3) (x + 2)

so you can rewrite everything with a common denominator:

5 / (x ² + 5x + 6) + 7 / (x + 2) = 6 / (x + 3)

5 / (x ² + 5x + 6) + 7 (x + 3) / ((x + 2) (x + 3)) = 6 (x + 2) / ((x + 3) (x + 2))

5 / (x ² + 5x + 6) + 7 (x + 3) / (x ² + 5x + 6) = 6 (x + 2) / (x ² + 5x + 6)

(5 + 7 (x + 3)) / (x ² + 5x + 6) = 6 (x + 2) / (x ² + 5x + 6)

As long as x ≠ -3 or x ≠ -2, the denominators are never zero, so we can cancel them and be left with

5 + 7 (x + 3) = 6 (x + 2)

Solving for x is easy from here:

5 + 7x + 21 = 6x + 12

7x - 6x = 12 - 5 - 21

x = -14

You might be interested in

How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the pl

klio [65]

Using the combination formula, it is found that there are 47,040 ways to form a soccer team.

<h3>What is the combination formula?</h3>

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

$^mC_k = \dfrac{m!}{k! \times (m-k)!}$

A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players

Since they are independent of each other, the total number of combinations will be;

$^mC_k = \dfrac{8!}{3! \times (5)!} \times \dfrac{6!}{4! \times (2)!} \times \dfrac{8!}{3! \times (5)!} \\\\^mC_k =47,040$

Hence, There are 47,040 ways to form a soccer team.

More can be learned about the combination at brainly.com/question/25821700

#SPJ1

7 0

2 years ago

This is confusing and i dont understand it

kifflom [539]

Answer:

2/3

Step-by-step explanation:

The slope of the graph is positive.

Slope = rise / run

Hope this helps

-Amelia The Unknown

6 0

3 years ago

I need help with this question

Mamont248 [21]

Answer:

100 because yeah I don't know what else to put

4 0

3 years ago

1/3a = −5 What does a equal?

Natali5045456 [20]

1/3 ⋅ = −5

1. Combine multiplied terms into a single fraction
1/3 = −5
1a/3 = -5

2. Multiply by 1
1a/3 = -5
a/3 = -5

3. Multiply all terms by the same value to eliminate fraction denominators
a/3 = -5
3 • a/3 = 3 (-5)

4. Cancel multiplied terms that are in the denominator
3 • a/3 = 3 (-5)
a = 3 (-5)

5. Multiply the numbers
a = 3(-5)
a = -5

3 0

3 years ago

Please help me I don’t get this?

Gekata [30.6K]

Answer:

Step-by-step explanation:

ok so the domain is the 1st number in a set of coordinates and the range is the 2nd number in a set of coordinates. the domains are (-1,1,2,4) and the ranges are (-2,1,3,-2). this is a function because each domain has exactly one range.

8 0

3 years ago

Read 2 more answers