5(x-2)(x+4)>0 For this to be true, both parenthetical terms must be both positive or both negative.
x<-4 and x>2
x=(-oo,-4),(2,+oo)
Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The inequality for the red portion is,
slope, m = (-2/-4) = 1/2
y-intercept is 2.
y ≤ (1/2)x + 2
The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2
y-intercept is -1.
y > 2x - 1
Hence, the correct options are 2 and 3.
Learn more about Inequality:
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Answer:
5.02 m/s
Step-by-step explanation:
We are given that
Mass of block,m=8 kg
Initial velocity,u=3.2 m/s
Net force ,F=10 N
Distance,s=6 m
We have to find the approximate final velocity of the block.
We know that 
Using the formula
We know that
Using the formula
Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.
<u>Step-by-step explanation:</u>
As given by the statement in the problem,
Q may be the middle point, which cut the diagonal PA into 2 equal halves.
In rhombus, diagonals meet at right angles.
which means that PQ = QA
x+2 = 3x - 14
Grouping the terms, we will get,
3x -x = 14+ 2
2x = 16
dividing by 2 on both sides, we will get,
x = 16/2 = 8
8+2 = 3(8) - 14 = 10 = PQ or QA
