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USPshnik [31]
3 years ago
6

HELP PLEASSSEEEEEE I NEED THIS

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0
I'm pretty sure it's 11%
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Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4
steposvetlana [31]

f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}


\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}

6 0
3 years ago
Read 2 more answers
the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression sho
blondinia [14]

Answer:

x = s/2

Step-by-step explanation:

● s states have joined the union in 1788

● half of s have joined in 1889

Let x be the number of states that have joined in 1889

● x = (1/2)× s

● x = s/2

3 0
3 years ago
Persevere with Problems Suppose an online store has an item that costs $50. The item is on sale for 10% off the original price.
ollegr [7]

Answer:

$5

Step-by-step explanation:

To find 10% of $50 we will use 50*0.10 since 10%=.10

the result of this is 5/ $5

5 0
3 years ago
The function <img src="https://tex.z-dn.net/?f=y%20%3D%20x%5E%7B3%7D%20%2B2mx%5E%7B2%7D%20%2B%20%283m-1%29x%20%2B%202" id="TexFo
Lera25 [3.4K]

Answer:

This is not correct question

6 0
2 years ago
Read 2 more answers
A party tent is used for an outdoor event. Ropes of equal length support each tent pole. The angle the rope makes with the floor
Virty [35]
Law of sines can be used to solve this problem:

(note - let x represent the missing side length.)

1. set up proportion.
sin 90°/25 = sin 55<span>°/x

2. solve.
(x) sin 90</span>° = (25) sin 55<span>°

(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5 
8 0
3 years ago
Read 2 more answers
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