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DiKsa [7]
3 years ago
13

1.00

Mathematics
1 answer:
jenyasd209 [6]3 years ago
6 0

Answer:

6

Step-by-step explanation:

Plug in 3 into both expressions

Then add those results

2(3)+21=6+21=27

3-24             =-21

                    -------

                         6  is the sum of 27 and -21

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Morgarella [4.7K]

Answer:

=5x+1          or          =5x-1

Step-by-step explanation:

One is given the following equation:

5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation.  Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

(a-b)^2=a^2-2ab+b^2

=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}

=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}

=5x-\frac{|3x-1|}{-(3x-1)}

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

|a-b|\\=a -b           or           (-a-b) = b-a

=5x-\frac{|3x-1|}{-(3x-1)}

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

=5x-\frac{3x-1}{-(3x-1)}          or          =5x-\frac{-(3x-1)}{-(3x-1)}

=5x-(-1)          or          =5x-(1)

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

=5x-(-1)          or          =5x-(1)

=5x+1          or          =5x-1

6 0
2 years ago
What does Draw and shade a figure that represents 100%. Label your 100%. Then describe the figure in words.
enot [183]
<span><span>In most statistical models to represent easy percentages, circle is mostly preferred. It is purposefully designed or rather allotted for functions that included 100%. A pie chart in technical terms. Imagine an uneaten cake would represent a 100%. </span></span>In most case scenarios, when you eat one slice of the cake. You take a portion that decreases it 100% or a whole presentation, for instance you took 25% slice of cake, what’s left will be 75% and then when you put back again, the 25% slice will present the whole 100%. In words, 25% slice of a cake you take, what’s left will just a portion 75% and unless you put it back it will be whole again.




6 0
3 years ago
What is the slope of the line that contains points (3,-9) and (-2,16)
Elena L [17]
The slope would be -5

Hope this helps

Have a great day/night
6 0
3 years ago
Is 2 yards greater than 5 feet?
Gelneren [198K]
Hey there!

The correct answer to your question is yes.

1 yard = 3 feet

2 yards = 6 feet (since 3 x 2 = 6)

6>5

2 yards is greater.

Hope this helps you.
Have a great day!
8 0
3 years ago
A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would h
Cerrena [4.2K]

Answer:

21

Step-by-step explanation:

6 0
3 years ago
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