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zavuch27 [327]
3 years ago
15

How do you simplify this equation

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

\bf \cfrac{\quad2-\frac{4}{x+2} \quad }{5+\frac{10}{x+2}}\implies \cfrac{\stackrel{LCD~of~x+2}{\frac{2(x+2)-4}{x+2}}}{\stackrel{LCD~of~x+2}{\frac{5(x+2)+10}{x+2}}}\implies \cfrac{\stackrel{distributing}{\frac{2x+4-4}{x+2}}}{\stackrel{distributing}{\frac{5x+10+10}{x+2}}}\implies \cfrac{\quad\frac{2x}{x+2} \quad }{\frac{5x+20}{x+2}} \\\\\\ \cfrac{2x}{\underline{x+2}}\cdot \cfrac{\underline{x+2}}{5x+20}\implies \cfrac{2x}{5x+20}\implies \cfrac{2x}{5(x+4)}

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Can anyone help please????
Nesterboy [21]

Answer:

Option A. (f_of^{-1})(-2)=-2

Step-by-step explanation:

Point to remember while solving the question of function,

(f_of^{-1})(x)=x

Here, 'f' is the parent function and f^{-1} is the inverse of the function 'f'.

So for the given function,

f(x) = 2x - 2

(f_of^{-1})(x)=x

For x = -2

(f_of^{-1})(-2)=(-2)

Therefore, Option A will be the correct answer.

6 0
3 years ago
11/12 divided by 4 as a fraction
otez555 [7]

Answer: 11/48

Step-by-step explanation:

(11/12) / 4 = 11/12 * 1/4 = (11*1)/(12*4) = 11/48

4 0
2 years ago
Read 2 more answers
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp
Maksim231197 [3]

Answer:

36547

Step-by-step explanation:

4 0
3 years ago
Amy had 23 blocks she gave 7 blocks to isabela and 5 blocks to alexa here are the choices A. (23-7)+5 and B.23-(7+5) and C. 23-7
Semmy [17]

Answer:

C seems right

Step-by-step

seems more work then needs be but 7+5= 12 and she originally had 23. so the equation of adding the 7+5 would just be adding up the ones removed together then adding the -23 to the equation is how many Amy had to begin with. so it would be <u><em>23-7+5 </em></u>= 12. others dont seem right since when you add () to an equation that means your multiplying and you wouldn't be multiplying here and for D to be right it needs to be switched around or you'd end up with a - number and she wouldn't have a - number of blocks. just divide up a problem if need be and break it down to smaller parts to make it easier to deal with.

6 0
3 years ago
What is the sum of all even numbers between 1 and 1000
weeeeeb [17]
There are 500 even numbers from 1 to 1000 starting with 2 and ending with 998. The sequence of even numbers is an arithmetic sequence with a common difference of 2. Using the equation for the arithmetic series,

                                       S = (a1 + an)(n/2)
and substituting, 
                                     
                                        S = (2 + 998)(500/2)
we get, 

                                        S = 250,000

Therefore, the sum of all even numbers between 1 and 1000 is 250,000.

4 0
3 years ago
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