Answer:
Step-by-step explanation:
Give expression is,
Since L.C.M ( 12, 8 ) = 24
Inequalities help us to compare two unequal expressions. (-6, 3) is not the solution to the system of inequalities.
<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 graph of y ≥ −3x + 3 will be a solid line with the equation y=−3x + 3, this solid line signifies that the value on this line is also included in the solution. Since the symbol is '≥' therefore the area above the line will have the solutions.
The graph of y<(3/2)x -6 will be a dashed line with the equation y=(3/2)x - 6, this dashed line signifies that there is no solution on the line. since the inequality symbol is '<' therefore, the area under the dashed line will have all the solutions.
The area where both shaded areas meet is the area that will have all the possible solutions.
PartB:
y ≥ −3x + 3
3 ≥ -3(-6) + 3
3 ≥ 18 + 3
Since the above inequality is not satisfied, (-6, 3) is not the solution to the system of inequalities.
Learn more about Inequality:
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.600 >
.020 > Expanded Form
<u>+ .004 </u> > <u>
</u> .624
Answer:
a ) R(x) = 0,2933*e∧0,2387*t
b) 5,9042 billions of dollars
Step-by-step explanation:
The rate of change in revenue dR/dt for Priceline Group is
dR/dt = 0,07*e∧0,2387*t
dR = (0,07*e∧0,2387*t ) * dt
∫dR = ∫ (0,07*e∧0,2387*t ) * dt between 2004 to 2013 ( t = 4 stands for 2004 and t = 13 stands for 2013 )
R(x) = (0,07/ 0,2387)*e∧0,2387*t )
R(x) = 0,2933*e∧0,2387*t
Then
R(4) = 0,2933*e∧0,2387*4
R(4) = 0,2933*2,5981
R(4) = 0,7602 billions of dollars
R(12) = R(4) + 0,2933*e∧0,2387*12
R(12) = 0,7602 + 5,1440
R(12) = 5,9042 billions of dollars