The graph and the equation show the relationship between gas price and amount of gas purchased for two different stations. Which
gas station charges less per gallon?
A. Gas Station #1
B. Gas Station #2
C. The costs per gallon are equal for both gas stations.
D. The answer varies according to how much gas is being purchased.
A. Gas Station #1
B. Gas Station #2
C. The costs per gallon are equal for both gas stations.
D. The answer varies according to how much gas is being purchased.
2 answers:
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Answer:
2 is the correct option.
Step-by-step explanation:
We have the equation .
We will plot the graphs of the function and
.
Then, the intersection points of both the graph will be the solution of the equation .
From the graphs, we see that,
The intersection points of the graphs are (0,1) and (2.337,10.347).
The solution of the equation is the value of 'x' co-ordinate where they intersect.
So, we get, x = 2 is the correct option.
We have that
2sin²<span>x - sinx - 3 = 0
</span>
Let
A------> sin x
so
2A²-A-3=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solutions are
A=-1
A=1.5------> is not solution because sin x <span>can not be 1.5
the solution is
A=-1
therefore
sin x=-1
x=arc sin(-1)=-90</span>°
the answer is
sin x=-1
x=-90° or 270°
2sin²<span>x - sinx - 3 = 0
</span>
Let
A------> sin x
so
2A²-A-3=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solutions are
A=-1
A=1.5------> is not solution because sin x <span>can not be 1.5
the solution is
A=-1
therefore
sin x=-1
x=arc sin(-1)=-90</span>°
the answer is
sin x=-1
x=-90° or 270°