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Extra info for Glencoe Advanced Mathematical Concepts: Precalculus with Applications
C (0, 7) 9b ϩ four. 5c ϭ 36 (2, four) 15b ϩ 10c ϭ 70 (4, zero) O b The vertices are at (0, 7), (2, 4), (4, 0), and (0, 0). Write an expression. because revenue on each one bookcase is $60 and the revenue on each one cupboard is $40, the revenue functionality is P(b, c) ϭ 60b ϩ 40c. replacement values. P(0, zero) ϭ 60(0) ϩ 40(0) or zero P(0, 7) ϭ 60(0) ϩ 40(7) or 280 P(2, four) ϭ 60(2) ϩ 40(4) or 280 P(4, zero) ϭ 60(4) ϩ 40(0) or 240 resolution the matter has exchange optimum options. the store will make the matter. an identical revenue in the event that they produce 2 bookcases and four cupboards because it will from generating 7 cupboards and no bookcases.
To graph a functionality or relation and its inverse, you turn the x- and y-coordinates of the ordered pairs of the functionality. This leads to graphs which are symmetric to one another with recognize to the road y ϭ x. f Ϫ1(x) instance 1 2 1 Graph f(x) ϭ Ϫ ᎏᎏxϩ three and its inverse. To graph the functionality, allow y ϭ f(x). To graph f Ϫ1(x), interchange the x- and y-coordinates of the ordered pairs of the functionality. y 1 f(x) ϭ Ϫᎏᎏ x ϩ three f Ϫ1(x) 2 word that the area of 1 relation or functionality is the variety of the inverse and vice versa.
Joint edition instance y varies together as x n and z n if there's a few nonzero consistent okay such that y ϭ kx nz n, the place x zero, z zero, and n Ͼ zero. five GEOMETRY the quantity V of a cone varies together because the top h and the sq. of the radius r of the bottom. locate the equation for the quantity of a cone with peak 6 centimeters and base diameter 10 centimeters that has a quantity of fifty cubic centimeters. learn the matter and use the recognized values of V, h, and r to discover the equation of joint version. 192 bankruptcy three the character of Graphs r h ϭ V и okay · · · · · the amount varies together because the top and the sq. of the radius.
Locate the refunds due on vehicle condo costs of $423. 18, $225. sixty four, and $797. 05. combined overview The formulation for the easy curiosity earned on an funding is I ϭ prt, the place I is the curiosity earned, p is the imperative, r is the rate of interest, and t is the time in years. think that $5000 is invested at an annual rate of interest of eight% and that curiosity is further to the relevant on the finish of every 12 months. (Lesson 1-1) a. locate the volume of curiosity that might be earned every year for 5 years. b. country the area and variety of the relation.
Y ϭ ᎏᎏ x2 23. g(x) ϭ (x Ϫ 3)2 Ϫ 1 1 25. f(x) ϭ Ϫᎏᎏ ϩ2 x3 Graph each one functionality. ascertain the interval(s) for which the functionality is expanding and the interval(s) for which the functionality is lowering. 26. y ϭ x3 ϩ 3x2 Ϫ 9x 27. y ϭ Ϫx3 Ϫ 2x ϩ 1 1 28. f(x) ϭ ᎏᎏ Ϫ four xϩ1 x2 ϩ five 29. g(x) ϭ ᎏᎏ xϪ2 30. y ϭx2 Ϫ four 31. y ϭ (2xϪ 3)2 ϩ 1 32. Physics GmM r The gravitational capability power of an item is given by means of U(r) ϭ Ϫᎏᎏe , the place G is Newton’s gravitational consistent, m is the mass of the article, Me is the mass of Earth, and r is the space from the item to the guts of Earth.