<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:
Taking the constant 4 to the side where x is to get:
Multiplying the denominator 3 to the other side of the equation to get:
Isolating y to make it the subject:
To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values.
Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123
Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70
Dividing the answers will give us 0.352
The correct answer for the question that is being presented above is this one: "A. The total of Raul’s numbers is not 0."<span>During Raul’s exercise program, he recorded how much weight he lost or gained each week. After 5 weeks, Raul had collected the data shown in the chart.</span>
Answer:
sum of products expression = x₁x₂x₃' + x₁x₂'x₄ + x₁x₂x₄
Step-by-step explanation:
Given function ( f ) = x₁x₂'x₃' + x₁x₂x₄ + x₁x₂'x₃x₄'
using algebraic manipulation
f = x₁ [ x₂'x₃' + x₂x₄ + x₂'x₃x₄' ]
= x₁ [ x₂'( x₃' + x₃x₄') + x₂x₄ ]
next apply Boolean rules
a + bc = ( a + b )(a + c )
a' + a =1
hence
minimum sum-of-products expression = x₁x₂x₃' + x₁x₂'x₄ + x₁x₂x₄
