Answer:

Step-by-step explanation:
An arithmetic sequence that is described by the explicit formula ...

can also be described by the recursive formula ...

Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...

The given equation has no solution when K is any real number and k>12
We have given that
3x^2−4x+k=0
△=b^2−4ac=k^2−4(3)(12)=k^2−144.
<h3>What is the condition for a solution?</h3>
If Δ=0, it has 1 real solution,
Δ<0 it has no real solution,
Δ>0 it has 2 real solutions.
We get,
Δ=k^2−144 here Δ is not zero.
It is either >0 or <0
Δ<0 it has no real solution,
Therefore the given equation has no solution when K is any real number.
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Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of males on the elevator
y ----> the number of females on the elevator
we know that
The inequality that represent this situation is

The solution of the inequality is the shaded area below the solid line 
The slope of the solid line is negative
The y-intercept of the solid line is (0,18)
The x-intercept of the solid line is (15,0)
see the attached figure
The solution is the triangular shaded area
The maximum number of females is 18 (when the number of males is zero)
The maximum number of males is 15 (when the number of females is zero)
Well it's giving you what the cost is (42.3), so plug that in for

:

And now you need to solve for the number of visits (

)!


So you can visit the museum a maximum of 2 times!
You have to separate the 2 and p so divide 60 by 2 which will leave p=30 and now if you plug it in you see 2 times 30 equals 60 :)