In a certain state the maximum speed permitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum.(a) Complete the expressions in the following piecewise defined function, where x is the speed (in mi/h) at which you are driving.if 0 < x< 4oF(x) = {if 40 65(b) Find F(20), F(45), and F(85).F(20) =F(45) =F(85) =(c) What do your answers in part (b) represent?O The maximum speed one can drive without paying a fine.O The awards for obeying the speed limits on the freeway.O The initial speed at which a fine will be incurred.O The fines for violating the speed limits on the freeway.O The minimum speed one can drive without paying a fine.

Given : Maximum speed = 65 mi/h Minimum speed = 40 mi/h Fine is $15 for every mile above or below…

in a certain state the maximum speed permitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum. (a) Complete the expressions in the following piecewise defined function, where x is the speed (in mi/h) at which you are driving. if 0 65 (b) Find F(20), F(45), and F(85). F(20) = F(45) = F(85) = (c) What do your answers in part (b) represent? O The maximum speed one can drive without paying a fine. O The awards for obeying the speed limits on the freeway. O The initial speed at which a fine will be incurred. O The fines for violating the speed limits on the freeway. O The minimum speed one can drive without paying a fine.

in a certain state the maximum speed permitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum. (a) Complete the expressions in the following piecewise defined function, where x is the speed (in mi/h) at which you are driving. if 0 65 (b) Find F(20), F(45), and F(85). F(20) = F(45) = F(85) = (c) What do your answers in part (b) represent? O The maximum speed one can drive without paying a fine. O The awards for obeying the speed limits on the freeway. O The initial speed at which a fine will be incurred. O The fines for violating the speed limits on the freeway. O The minimum speed one can drive without paying a fine.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

ChapterA: Appendix: Review Topics

SectionA.3: Introduction To Functions

Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....

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Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Question

In a certain state the maximum speed permitted on freeways is 65 mi/h, and the minimum is 40 mi/h. The fine F for violating these limits is $15 for every mile above the maximum or below the minimum.
(a) Complete the expressions in the following piecewise defined function, where x is the speed (in mi/h) at which you are driving.
if 0 < x< 4o
F(x) = {
if 40 <xS 65
if x > 65
(b) Find F(20), F(45), and F(85).
F(20) =
F(45) =
F(85) =
(c) What do your answers in part (b) represent?
O The maximum speed one can drive without paying a fine.
O The awards for obeying the speed limits on the freeway.
O The initial speed at which a fine will be incurred.
O The fines for violating the speed limits on the freeway.
O The minimum speed one can drive without paying a fine.

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