The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
Example
Is (1, 2) a solution to the inequality
2x+3y>1
2⋅1+3⋅2>?1
2+5>?1
7>1
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Example
Graph the inequality
y≥−x+1
picture44
Answer:
12.5% of the day
Step-by-step explanation:
There are 24 hours in 1 day
3/24 = 1/8
.125 = 12.5%
Answer:
2
Step-by-step explanation:
The Fundamental theorem of algebra states that a polynomial of degree n has n roots. These can be real or complex.
A quadratic is of degree 2 and has 2 roots.
Answer:
32
Step-by-step explanation:
0.5x = 16
divide 0.5 from both sides to get variable by itself since it is the inverse operation of 0.5x
x=32
H= -8. H-2h= 9-1; -h=8; h= -8
