Provide an appropriate response.The cost C of processing exhaust gases so that you remove all but x percent of the pollutants is given by  Find the values of x for which C < 0. Discuss the meaning of the results.

What will be an ideal response?


C < 0 for x > 100 or x < 0. Neither one of these answers makes sense because the amount of pollutants can't be more than 100% or less than 0%.

Mathematics

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You want a linearization that will replace the function over an interval that includes the point x0. To make your subsequent work as simple as possible, you want to center the linearization not at x0 but at a nearby integer x = a at which the function and its derivative are easy to evaluate. What linearization do you use?f(x) = , x0 = 5.9

A.  + x
B.  + x
C.  + x
D.  + x

Mathematics

Use an integer or rational number to express the number representing change.This year corn production increased 56,000 pounds from last year on Steve's farm.

A. 56,000 B. -56,000

Mathematics

Factor completely.4x9 + 12x7 + 8x5 - 10x4

A. x4(4x5 + 12x3 + 8x - 10) B. 2x(2x8 + 6x6 + 4x4 - 5x3) C. 2(2x9 + 6x7) + x4(8x - 10) D. 2x4(2x5 + 6x3 + 4x - 5)

Mathematics

Determine whether the argument is valid or invalid.If Ann so wishes, then Bill will be the president. Manuel is a public defender or Bill will be the president. Manuel is not a public defender. Therefore, Ann does not so wish.

A. Invalid B. Valid

Mathematics