Pathways lMathAS Assess X Precalculus auestion I Che X C htt

Pathways lMathAS Assess X Precalculus auestion I Che X C https:// mathas rationalreasoning.net/assessment/showtest.php?action skip&to; 14 book ks b rt book Questions Janet bakes a cake in the shape of a cube with side length z (in inches). She makes a vertical cut to parallel one of the sides resulting in a slice with width y where z is 5 times as large as y a. Define a function h that determines the volume of the cake before Janet makes the first cut in terms of the original width of the cake, z Preview b. Define a function g that determines the width of the slice of cake in terms of the original width of the cake, z Q 5 (0.4/1) Preview c. Define a function f that determines the volume of the slice of cake in terms of the original width of the cake, z Q 8 (0.7/1) Preview Q 10 [1/1] d. Using the functions you defined in part (a) and (c) represent the volume of the cake that remains after Janet eats this slice in terms of the original width of the cake, z Q 11 (0.8/1) Q 12 (0/1) h(f(z)) Q 13 (0/1) f(h(a)) Q 14 (0/1) Q 15 (01) h (z) f(z) w Q 16 [1/1] Q 17 (0/1) O f(z) h(z) Q 18 (0/1) f(z) h (z) Grade: 10.9/18 None of the above Print Version e. Define a function k that determines the remaining volume of the cake after Janet eats this slice in terms of the original width of the cake, z Preview f Use the function you defined in part (e) o determine the volume of cake that remains after Janet eats the first slice if the original width of the cake was 10 inches cubic inches Preview 01 PM 4/26/2016

Solution

a) h(f(x)) = x³

b) g(f(x)) = x/5

c) f(x) = x³/5

d) h(f(x)) = 4x³/5

e) k(f(x)) = 4x³/5

f) 800