So subsitue and try so
f(g(x))=2(7x+1)+2
g(f(x))=7(2x+2)+1
multiply them out
f(g(x))=2(7x+1)+2=14x+2+2=14x+4
g(f(x))=7(2x+2)+1=14x+14+1=14x+15
14x+15>14x+4
therefor
g(f(x))>f(g(x))
the answer is D g(f(x)) produces the greatest output
Answer:
The equation of the line would be y = -3/2x + 7/2
Step-by-step explanation:
In order to find this, we must first use the slope formula with the two point to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - -1)/(-1 - 3)
m = 6/-4
m = -3/2
Now that we have the slope, we can use that and either point in point-slope form. Then we solve for y.
y - y1 = m(x - x1)
y + 1 = -3/2(x - 3)
y + 1 = -3/2x + 9/2
y = -3/2x + 7/2
Answer:
(a) V = 51200 cubic cm
(b) V' = 38912 cubic cm
(c) V'' = V - V' = 12288 cubic cm
Step-by-step explanation:
side of the square base, s = 32 cm
height, h = 50 cm
height of cake mixture, h' = 38 cm
(a) The capacity of the tin is the volume.
Capacity of tin, V = s x s x h = 32 x 32 x 50 = 51200 cubic cm
(b) The volume of the cake mixture is
V' = s x s x h'
V' = 32 x 32 x 38 = 38912 cubic cm
(c) Volume of unoccupied space is
V'' = V - V' = 51200 - 38912 = 12288 cubic cm
Answer:
Step-by-step explanation:
SA = bottom rectangle area+side rectangle area + slant rectangle area + 2 triangles
= 26(36) + 10(36)+36(28) +2(0.5)(10)(26) = 2564 cm2
