Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
2 answers:
The solution set to the inequality is C) (–2.5, ∞)
More details
Solving linear equations involves figuring out the unknown variable from the equation.
Let’s consider the linear equation: y = mx + c
Graphing this equation in Cartesian Coordinates will result in a straight line featuring:
m → slope of the line
( 0, c ) → y - interceptThe line's slope can also be determined using two arbitrary points on the line ( x₁, y₁ ) and ( x₂, y₂ ) with the formula:
With point ( x₁, y₁ ) lying on the line with slope m, the line's equation will be:
Let’s resolve the problem step by step.
Given:
→ using the distributive property of multiplication
→ rearranging terms
Answer detailed information
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear, Equations, 1, Variable, Line, Gradient, Point
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Answer:
(A)(12, 9)
Step-by-step explanation:
Provided:
The starting point of the stencil's left edge is at (2, -1).
A designated point, referred to as Q on the stencil, is located at (4, 1).
Point Q divides the stencil in a 1:4 ratio.
We are tasked with determining the endpoint of the stencil.
Mathematically, Point Q segments the stencil internally in a 1:4 ratio.
For calculating the internal division of a line segment with initial point and end point
in the ratio m:n, we apply the formula
,
, Q(x,y)=(4,1), m:n=1:4
Consequently:
The selected choice is A.