The area of a rectangular pool is given by the trinomial 2y2 + 5y – 42. What are the possible dimensions of the pool? Use factor
1 answer:
You might be interested in
In point-slope form, the equation of the line is
.. y -k = m(x -h) . . . . . . for slope m and point (h, k)
You have m = -7/2 and (h, k) = (8, -28), so the point-slope equation is
.. y -(-28) = (-7/2)*(x -8)
.. y +28 = (-7/2)x +28 . . . . simplify
.. y = (-7/2)x . . . . . . . . . . . . subtract 28
To put this into standard form, we can multiply by 2, then add 7x.
.. 2y = -7x
.. 7x +2y = 0 . . . . . . . . . . . the standard form equation you want
.. y -k = m(x -h) . . . . . . for slope m and point (h, k)
You have m = -7/2 and (h, k) = (8, -28), so the point-slope equation is
.. y -(-28) = (-7/2)*(x -8)
.. y +28 = (-7/2)x +28 . . . . simplify
.. y = (-7/2)x . . . . . . . . . . . . subtract 28
To put this into standard form, we can multiply by 2, then add 7x.
.. 2y = -7x
.. 7x +2y = 0 . . . . . . . . . . . the standard form equation you want
Answer:
The exact cost of producing the 21st food processor is $38.52.
The marginal cost to approximate the cost of producing the 21st food processor is $38.24
Step-by-step explanation:
Consider the provided function.
(A) Find the exact cost of producing the 21st food processor
The exact cost producing 21st food processor is C(21)-C(20)
Substitute x=21 in above function.
Substitute x=20 in above function.
The exact cost producing is:
Hence, the exact cost of producing the 21st food processor is $38.52.
Part (B) Use the marginal cost to approximate the cost of producing the 21st food processor,
To find the marginal cost first differentiate the function with respect to x.
Now substitute x=21 in above function.
The marginal cost to approximate the cost of producing the 21st food processor is $38.24