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3 years ago

What is the simplified form of 3abc/abc, when abc does not equal zero? Explain using the properties of real numbers.

Mathematics

2 answers:

In-s [12.5K]3 years ago

8 0

Answer:

The answer is 3 and the explanation is below:

Step-by-step explanation:

The simplified form of $\frac{3abc}{abc}$ is 3, when abc does not equal zero.

We can write $\frac{3abc}{abc}$ as $3*\frac{a}{a} *\frac{b}{b} *\frac{c}{c}$

This becomes $3*\frac{1}{1} *\frac{1}{1} *\frac{1}{1}$

= $3*1*1*1=3$

elixir [45]3 years ago

4 0

3abc / abc
= 3 ( abc ) / abc
= 3

because the real numbers did not have zero. the real number are starting from positive 1 to positive infinity number.
If we suppose a = 1, b = 2, c = 3
abc / abc = 1.

I hope that i helped you :)

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1 year ago

Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.

docker41 [41]

3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =

factoring with leading coefficient:

for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b

3x^2 - 2x - 8
a=3, b=-2, c=-8
a*c = 3*(-8) = -24
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replace bx with mx + nx and factor by grouping

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answer:
3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)

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3 years ago

What is the solution to 2logg(x) = logg8+log,(x-2)? x=-4 x=-2 X=4 X= 8

astra-53 [7]

Answer:

x = 4

which agrees with the third listed answer among the given options

Step-by-step explanation:

We can re-write the logarithmic equation using the properties of logarithms:

$2\,log(x)=log(8)+log(x-2)\\log(x^2)=log(8*(x-2))\\log(x^2)=log(8x-16)$

Therefore, the arguments of the log functions must also be equal (and we can solve for "x" by noticing that this expression is the perfect square of a binomial:

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and for this equation to verify, x must be 4

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3 years ago

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Solve the equation. 3 = n + 4 Question 3 options: 7 1 -1 12

zysi [14]

Hey!

------------------------------------------------

Steps To Solve:

~Subtract n to both sides

3 - n = n + 4 - n

~Simplify

3 - n = 4

~Subtract 3 to both sides

3 - n - 3 = 3 - 4

~Simplify

n = -1

------------------------------------------------

Answer:

$\large\boxed{n~=~-1}$

------------------------------------------------

Hope This Helped! Good Luck!

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3 years ago

A triangle has one angle that measures 23 degrees, one angle that measures 47 degrees, and one angle that measures 110 degrees.

blsea [12.9K]

Answer:

B) Scalene Triangle

Step-by-step explanation:

This must be a scalene triangle because:

If it were a right triangle, there would be a right angle so A is out

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If it were an isosceles triangle, 2 angles would be equal to each other so D is out

A scalene triangle consists of angles that add up to 180 degrees, but none of them are equal to each other. Therefore B is right.

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3 years ago

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