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IceJOKER [234]
3 years ago
15

Completely factorize (2x+3)^-2 + 2x(2x+3)^-3

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0
Hello,

\dfrac{1}{(2x+3)^2} + \dfrac{2x}{(2x+3)^3} \\

= \dfrac{(2x+3)+2x}{(2x+3)^3}\\

= \dfrac{4x+3}{(2x+3)^3}
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A person runs 1/8 mile in 1/64 hour.<br> The person's speed is (BLANK) miles per hour.
snow_tiger [21]

Answer: The person's speed is 8 miles per hour.

Step-by-step explanation:

To solve we want to convert the \frac{1}{8} and \frac{1}{64} proportionally for the number of miles per hour. We know that multiplying a fraction by its reciprocal will equal 1. So let's do that for the value of the hour.

\frac{1}{64}×\frac{64}{1} =\frac{64}{64} =1

Since we multiplied that to the number of hours we must also do that for the number of miles.

\frac{1}{8}×\frac{64}{1} =\frac{64}{8} =8

7 0
2 years ago
If f (x) = x and g(x) = 3x + 1 are two real functions. Find (f + g) (x)
romanna [79]

Answer:

4x + 1

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= x + 3x + 1 ← collect like terms

= 4x + 1

4 0
3 years ago
Trent, Linda and Pam paint a poster that is 4 feet long. They each paint an equal amount. How many feet does each student paint
tester [92]
They each paint a part of the poster that is 1.333 or 1 1/3 feet long. Hope this helps:)
7 0
3 years ago
Does anyone know the answer??
vichka [17]

Answer:

100.00

Step-by-step explanation:

x=number of months until the costs are the same

50 + 20x = 25 + 30x

25 = 10x

x = 2.5 months

50 + 2.5(20) =$100.00

7 0
3 years ago
If f(x) = 2x^2 + 2, find f(5)
zlopas [31]

Well, following the order of PEMDAS, I got choice B. 52

For instance, when you plug in 5 for x, you get F(5)=2(5)^2+2.

Moreover, following PEMDAS, you're supposed to solve what's inside the parenthesis, but since there is no operation going on inside the parenthesis, then you simple move on to the exponent.

In this case, you square the number 5, which gives you F(5)=2(25)+2

After that, you Multiply (letter M in PEMDAS). This results in F(5)=50+2.

Finally, you add them, which results in F=52.


By the way, I noticed a mistake in your work. When multiplying 2 by 5, the answer is 10, not 20.

Anyway, hope this helped! :-)  

8 0
4 years ago
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