1.2x+y>1
2.y=3x-6
3.y-5<7x
4.
5.x+5y=10
As per bartleby guidelines only the first three subparts are to be solved. Please upload other parts separately.
Given:
The objective is to find which of the equations are linear inequality and linear equations.
2x+y>1
y=3x−6
y−5<7x
An equation which contains the symbols <,>,
Similarly, an equation which contains the symbol = is called linear equation.
Consider the first equation, 2x+y>1.
As the first equation contains the symbol >, it is a linear inequality.
Consider the third equation, y=3x−6.
As the second third equation contains the symbol =, it is a linear equation.
Consider the second equation, y−5<7x.
As the second equation contains the symbol <, it is a linear inequality.
Hence, option (1) and option (3) are LI and option (2) is LE.
Find the area of the region bounded by the graphs of the given equations
During a test by the editors of an auto magazine, the stopping distance s (in metres) of the MacPherson X-2 racing car conformed to the rule
a. Find an expression for the car's velocity v at any time t.
b. What was the car's velocity when the brakes were first applied?
c. What was the car's stopping distance for that particular test? Hint: The stopping time is found by setting v=0.