If Fx) = x - 7 and G(x) = x^3, what is G(F(x))?
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Answer:
Step-by-step explanation:
a). Since starting point of the line is (0, 50),
Therefore, I started with the saving of $50.
b). Since endpoint of the segment is (5, 175),
Money with me after 5 weeks will be $175.
c). Let the equation of the line given in the graph is,
y - y' = m(x - x')
Where (x', y') is a point lying on the graph.
And 'm' is the slope of the line.
Slope of the line =
m =
m = 25
Since, the line passes through (0, 50),
y - 50 = 25(x - 0)
y = 25x + 50
y = 25x + 50
For x = 6,
y = 25×6 + 50 = 200
For x = 7,
y = 25×7 + 50 = 225
For x = 8,
y = 25×8 + 50 =250
d). For x = 10 weeks,
y = 25×10 + 50 = $300
e). For x = 15 weeks
y = 25×15 + 50 = $425
f). For x = 50 weeks,
y = 25×50 + 50 = $1300
g). Equation of the line is,
y = 25x + 50