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n200080 [17]
2 years ago
5

Prove that for a triple element x, y, z the distributive law is always satisfied if one of the elements equals 0 or 1, or if two

of the elements are equal.
Mathematics
1 answer:
solmaris [256]2 years ago
3 0

The distributive law is satisfied if the numbers 1,2, and 3 are used as multyplying factors.

<h3>What is the distributive law?</h3>

This is basic mathematical law that states:

  • A multiplied by (b+c) equals (a x b) + (a x c)

<h3>Is this law satisfied if there are three numbers involved?</h3>

The law is always satisfied if one of the numbers is 1. Here is an example

  • 2 x (1+2+3) = 2 x 6 = 12

or

  • (2x1) + (2x2) + (2x3)
  • 2+4+6 = 12

Learn more about mathematical laws in: brainly.com/question/15190681

#SPJ1

You might be interested in
A card is selected at random from a deck of 52 playing cards, the probability that a face card selected is ______________
ratelena [41]

Answer:

A

Step-by-step explanation:

There are 12 face cards in a deck out of 52, so 12/52 would be the probability

hope this helps :)

7 0
3 years ago
Complete the problem to represent the situation given by the equation 0.40e + 10 + 15 = 0.20e + 5 + 25. At one store a trophy co
olganol [36]

Answer: The number of letters that must be engraved for the costs to be the same is 125.

Step-by-step explanation:

Since we have given that

0.4e+10+15=0.20e+5+25

We need to find the number of letters.

0.4e+25=0.2e+30\\\\0.4e-0.2e=30-25\\\\0.2e=25\\\\e=\dfrac{25}{0.2}\\\\e=125

Hence, the number of letters that must be engraved for the costs to be the same is 125.

8 0
3 years ago
Read 2 more answers
F(x)= x + 3 find f(-5)​
sesenic [268]

Answer:

f(-5) = -2

Step-by-step explanation:

f(-5) = -5 + 3

       = -2

*Have to replace x with -5 and then solve

3 0
3 years ago
If using the method of completing the square to solve the quadratic equation x^2-10x-13=0, which number would have to be added t
Maru [420]

Answer: The solution to the problem is based on the solutions

from the subproblems.

x = {8.464101615, 1.535898385}

Step-by-step explanation:  

x^2-10x+13=0

Simplifying

x2 + -10x + 13 = 0

Reorder the terms:

13 + -10x + x2 = 0

Solving

13 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.

13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:

13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0

0 + -10x + x2 = 0 + -13

-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13

-10x + x2 = -13

The x term is -10x.  Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -13 + 25

Reorder the terms:

25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12

25 + -10x + x2 = 12

Factor a perfect square on the left side:

(x + -5)(x + -5) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting  

(x + -5) equal to 3.464101615 and -3.464101615.

6 0
3 years ago
Drag the correct steps into order to solve the equation -3x – 6 = 18 for x.
BlackZzzverrR [31]

- 3x - 6 = 18

      + 6    + 6

-3x = 24

Divide both sides by -3

-3x/-3 = 24/-3

x = - 8

7 0
3 years ago
Read 2 more answers
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