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tangare [24]
2 years ago
6

Mathematical Statement Justification

Mathematics
2 answers:
olya-2409 [2.1K]2 years ago
6 0

Answer:

B

Step-by-step explanation:

1. Given mathematical statement

4x+3=x+5-2x

So,

\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}

2. Rewrite it as

4x+3=x-2x+5

So,

\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}

3. Combine like terms x and -2x:

4x+3=-x+5

So,

\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}

4. Add x to both sides:

4x+3+x=-x+5+x\\ \\5x+3=5

So,

\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}

5. Subtract 3 from both sides:

5x+3-3=5-3\\ \\5x=2

So,

\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}

6. Divide both sides by 5:

x=\dfrac{2}{5}

So,

\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}

Nata [24]2 years ago
3 0

Answer:

B.  Combine Like Terms; Addition Property of Equality; Subtraction Property of Equality; Division Property of Equality

Step-by-step explanation:

I took the quiz and got it right

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8 square root 2<br><br>6 square root 18<br><br>14 square root 2<br><br>8 square root 18
True [87]
Work: 5√2 + √18
First you must find the largest perfect square in √18:
The perfect square happens to be 9
√18 => 9√2
You must then simplify 9 since it is a perfect square:
9√2 => 3√2
Then you must add both terms together:
5√2 + 3√2 = 8√2
Answer: 8√2 or 8 square root 2

I hope this helps you!
4 0
3 years ago
An introductory psychology class with n=44 students has 9 freshman males, 15 freshman females, 8 sophomore males, and 12 sophomo
andrezito [222]

Answer:

0.61

Step-by-step explanation:

Pr (female) =  total number of females(n')/Total number of students(n)

Where P(female) = probability of selectinga female

Pr(female) = n'/n................. Equation 1

Given: n = 44 students, n' = 15+12 = 27 females

Substitute into equation 1

Pr(female) = 27/44

Pr(female) = 0.61.

Hence the probability of selecting a female is 0.61

3 0
3 years ago
What is the common denominator of (5/x^2-4) - (2/x+2) in the complex fraction (2/x-2) - (3/x^2-4)/(5/x^2-4) - (2/x+2)
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9514 1404 393

Answer:

  • common denominator: (x² -4)
  • simplified complex fraction: (2x +1)/(9 -2x)

Step-by-step explanation:

It is helpful to remember the factoring of the difference of squares:

  a² -b² = (a -b)(a +b)

__

Your denominator of (x² -4) factors as (x -2)(x +2). You will note that one of these factors is the same as the denominator in the other fraction.

It looks like you want to simplify ...

  \dfrac{\left(\dfrac{2}{x-2}-\dfrac{3}{x^2-4}\right)}{\left(\dfrac{5}{x^2-4}-\dfrac{2}{x+2}\right)}=\dfrac{\left(\dfrac{2(x+2)}{(x-2)(x+2)}-\dfrac{3}{(x-2)(x+2)}\right)}{\left(\dfrac{5}{(x-2)(x+2)}-\dfrac{2(x-2)}{(x-2)(x+2)}\right)}\\\\=\dfrac{2(x+2)-3}{5-2(x-2)}=\boxed{\dfrac{2x+1}{9-2x}}

3 0
2 years ago
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