What is the reason for each step in the solution of the equation?

2 answers:

6 0

<span>2x-1=4(x+1) Given. This is the expression you were originally given. 2x-1=4x+4 Distributive Property You distributed the 4 in the subexpression 4(x + 1) to make 4x + 4 2x=4x+5 Addition or Subtraction Property of Equality You added 1 to both sides of the equation. â’2x=5 Addition or Subtraction Property of Equality You subtracted 4x from both sides of the equation. x=-5/2 Multiplication or Division Property of Equality You divided both sides by -2.</span>

Mkey [24]3 years ago

4 0

Answer:

2x - 1 = 4(x + 1) Given

2x - 1 = 4x + 4 Distributive Property

2x = 4x + 5 Addition or Subtraction Property of Equality

-2x = 5 Addition or Subtraction Property of Equality

x = -5/2 Multiplication or Division Property of Equality

- I took the test, these should be right.

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A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff

lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

$nCr = \frac{n!}{(n-r)!r!}$

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

$7C2 * 9C2$

$7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36$