Answer:
369
Step-by-step explanation:
g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).
and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).
f(6) = 8×6 + 5 = 48 + 5 = 53
and now
g(53) = 7×53 - 2 = 371 - 2 = 369
to check we do the general functional substitution :
g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33
g(f(6)) = 56×6 + 33 = 336 + 33 = 369
correct
Volume of sphere = 1766.25 cm^3
Step-by-step explanation:
The radius of sphere = 7.5 cm
Volume of sphere = ?
The formula used is:
Putting values:
So, Volume of sphere = 1766.25 cm^3
Keywords: Volume of sphere
Learn more about Volume of sphere at:
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68= 4x-2+30 (notice they are vertical angles)
68= 4x+28
40=4x
10=x
68+y= 180 (forms a straight angle)
y=112
Final answer: x=10, y=112
Answer:
r = 11/2
Step-by-step explanation:
m = slope
slope, m = (y2 - y1)/(x2 - x1)
-4 = (7 - 9)/(r - 5)
cross multiply
-4(r - 5) = 7 - 9
clearing brackets
-4r + 20 = -2
-4r = -22
r = 22/4 = 11/2
Answer:
reciprocal means inverse:
