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3 years ago

Consider the division of 3b2+9b+4 by 3b.

Mathematics

1 answer:

miv72 [106K]3 years ago

3 0

Answer:

$b + 3 + \frac{4}{3b}$

Step-by-step explanation:

$\frac{3b^2 + 9b + 4}{3b}$

=> 3b²/3b = b

=> 9b/3b = 3

=> 4/3b = 4/3b

Therefore the final answer would be;

$b + 3 + \frac{4}{3b}$

Hope this helps!

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The product of two consecutive integers is 420

Olenka [21]

(a) * (a+1) = 420
a^2 + a = 420
a^2 + a - 420 = 0
(a+21)(a-20) = 0
a = -21 OR 20

The two integers can be -21 and -20, OR 20 and 21.

6 0

4 years ago

If m(x) =x+5/x-1 and n(x) =x-3 which function has the same domain as (m.n)(x)

Travka [436]

Answer:

Step-by-step explanation:

m (x) = (x+ 5) / (x -1) and n(x) = x - 3.

$m(x) = \dfrac{x+5}{x-1}$

Hence

$m(n) = \dfrac{n+5}{n-1}$

but n is a function and n = x-3. Now, replace value of n on m (n)

$(m(n))= \dfrac{(x-3)+5}{(x-3)-1}$

simplify it

$(m\bullet n)(x) =\dfrac{x+2}{x-4}\\$

since (m . n) (x) is a fraction function, its domain will be all x such that the denominator is NOT 0. That is

$x-4\ne 0\rightarrow x\ne 4$

among options, only C has the same denominator with $(m\bullet n)(x)$

Hence their domains are the same.

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3 years ago

What is 0.3 repeating as a fraction in simplest form

NeTakaya

The answer is 3/9 or 1/3 in its simplest form

4 0

3 years ago

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How many positive integers less than 500 are equal to 5 times an even integer?

arlik [135]

Answer:

490/10=49

Every 10 numbers is one number. I divided by 490 because it says less then 500

Step-by-step explanation:

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3 years ago

1 + x = 7 − 2x solve the equation

ser-zykov [4K]

Answer:

x = 2

Step-by-step explanation:

Given

1 + x = 7 - 2x ( add 2x to both sides )

1 + 3x = 7 ( subtract 1 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

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3 years ago