Solve the following system of equations express your answers as an ordered pair in the format (a,b) with no spaces between the n
2 answers:
Answer:
(-4,1)
Step-by-step explanation:
Solve the equations for x and y
To solve this equation, we use elimination method. we try to eliminate x
Multiply the first equation by -2
(add both equations)
---------------------------------
Divide both sides by -17
y=1
Plug in y=1 in first equation and solve for x
, subtract 7 on both sides
Divide both sides by 2
x=-4
Solution (x,y) is (-4,1)
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Answer:
0 < t <
After 1.67 days the stocks would be sold out.
Step-by-step explanation:
The price of a certain computer stock after t days is modeled by
p(t) = 100 + 20t - 6t²
Now we will take the derivative of the given function and equate it to zero to find the critical points,
p'(t) = 20 - 12t = 0
t =
t = days
Therefore, there are two intervals in which the given function is defined
(0, ) and (
, ∞)
For the interval (0, ),
p'(1) = 20 - 12(1) = 20
For the interval (, ∞),
p'(2) = 20 - 12(2) = -4
Positive value of p'(t) in the interval (0, ) indicates that the function is increasing.
0 < t <
Since at the point t = 1.67 days curve is showing the maximum, so the stocks should be sold after 1.67 days.
Working together three workers would take 1 hour 36 minutes to finish the job
<em><u>Solution:</u></em>
Given that first worker can finish the job in 8 hours
So in one hour, first worker can do th of the work
The second worker can finish the job in 4 hours
So in one hour, second worker can do th of the work
The third worker can also finish the job in 4 hours
So in one hour, third worker can do th of the work
<em><u>The three workers working together in 1 hour can do:</u></em>
The three worker can thus do th of the work in one hour
Hence the three of them together can finish the work in hours
hours
Thus working together three workers would take 1 hour 36 minutes to finish the job