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kirza4 [7]
3 years ago
15

What is the correct justification for the first step in solving this

Mathematics
2 answers:
Studentka2010 [4]3 years ago
7 0

Answer:

Distributitive Property

Step-by-step explanation:

Bas_tet [7]3 years ago
4 0

The correct justification for the first step in solving the provided equation is that the first step should be distributive Property

<h3>What is the property of equality?</h3>

Property of equality says that by performing any mathematical operation, of both sides of a expression does not change the original value of the equation.

The equation given in the problem is,

3(x - 4) + 1 = 12x

To solve the above equation, we need to open the brackets of the equation. To do this, we need to use the distributive property of the equality.

This can be done by multiplying the number 3 inside the bracket (x-4). This operation simplify the equation, to solve it further. Therefore,

3x - 3\times4 + 1 = 12x\\3x - 12 + 1 = 12x

Hence, the correct justification for the first step in solving the provided equation is that the first step should be distributive Property.

Learn more about the property of equality here;

brainly.com/question/1601404

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Find the nonpermissible replacement for y in this expression y-7/y+9
Vesnalui [34]

Answer:

y ≠ - 9

Step-by-step explanation:

the denominator of the expression cannot equal zero as this would make the expression undefined. Equating the denominator to zero and solving gives the value that y cannot be

solve y + 9 = 0 ⇒ y = - 9 ← not permissable


5 0
3 years ago
15 points Composition of Functions
Paul [167]

Answer:

last option

Step-by-step explanation:

8 0
3 years ago
Find the LCD of the given rational equation: -3/x+2 + 5x/x-1 = x+2/x^2-3x+2
Natali [406]
Answer:

(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.

Explanation:

1) Given equation:

    3             5x            x + 2
- ------- +  -------- =  ---------------
 x + 2        x - 1       x² - 3x + 2

2) So, the denominators are x + 2, x - 1, and x² - 3x + 2

3) The LCD is the product of the common and non common factors raised to the greatest power.

4) x + 2, and x - 1 are already prime factors

5) Factor x² - 3x + 2

x² - 3x + 2 = (x - 2)(x - 1)

6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)

7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.



5 0
3 years ago
2/3+1/6???????????????????
kupik [55]

Answer:

5/6

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Find the horizontal and vertical intercepts for
allsm [11]

Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.

The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

According to the question;

  • the r-axis is the horizontal axis.
  • the s-axis is the vertical axis.

Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).

  • i.e s = 0
  • the equation r⁴ + s² − r s = 16, then becomes;
  • r⁴ = 16
  • Therefore, r = ±2.

Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).

  • i.e r = 0.
  • the equation r⁴ + s² − r s = 16, then becomes;
  • s² = 16.
  • Therefore, s = ±4.

Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

Read more:

brainly.com/question/18466425

3 0
3 years ago
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