Given:
The expression is
.
To find:
The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.
Solution:
According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then

We have,

It can be written as

Using the rule "multiply by the reciprocal", we get



Therefore, the correct option is D.
Simplify brackets
2/5(x - 4) = 2x
Simplify 2/5(x - 4) to 2(x - 4)/5
2(x - 4)/5 = 2x
Multiply both sides by 5
2(x - 4) = 10x
Divide both sides by 2
x - 4 = 5x
Subtract x from both sides
-4 = 5x - x
Simplify 5x - x to 4x
-4 = 4x
Divide both sides by 4
-1 = x
Switch sides
<u>x = -1</u>
Answer:
<em>The product of an even number of negatives give us a positive number. An odd number of - 1's gives us a negative one, -1. This can be applied to any set of products. The product of an odd number of negatives give us a negative number. </em>
Step-by-step explanation: