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3 years ago

What is the solution to 3/5x+2/3+x= 1/2-1/5

Mathematics

1 answer:

oee [108]3 years ago

4 0

The correct answer is exactly <span>-0.229166666667.</span>

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Please show your work and explain it.

Maru [420]

Answer:

$f(x)=\dfrac{x+2}{2(x-2)}$

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

$\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}$

Next we factor what we can so we can further simplify the rest of the equation:

$=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\$

We can now cancel out (x+2)

$=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}$

Next we factor out even more:

$=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}$

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

$=\dfrac{(x+2)(1)}{(x-2)(2)}$

And we can now simplify it to:

$=\dfrac{x+2}{2(x-2)}$

6 0

3 years ago

Name the intersection of plane acg and plane bcg

cestrela7 [59]

Please attach a photo so I may help you.

8 0

3 years ago

Read 2 more answers

9 centimeters y'all it grows .7 centimeters each day what is the function

emmasim [6.3K]

9 + .7d

Should be your answer!

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3 years ago

Patrick has a $1000 bond with a 6% coupon. Howmuch interest will Patrick receive for this bond every 6 months?

alexandr1967 [171]

Its either 300 or 12

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3 years ago

Noah started with a number, x. He took the difference of four times the number and three and cubed the result. Write the express

Oksi-84 [34.3K]

Answer:

The expression representing Noah’s new number is $(4x-3)^3.$

Step-by-step explanation:

Noah started with a number, x.

Four times the number x is 4x

The difference of four times the number and three is 4x - 3

The difference of four times the number and three cubed is $(4x-3)^3$

Thus, the expression representing Noah’s new number is $(4x-3)^3.$

4 0

3 years ago