3x+8y=15 , 2x−8y=10
2 answers:
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The given functions are
Now these are exponential curves and the bases for the functions are 3.5 & 1.5
Also the graph of g(x) is between f(x) & h(x)
Hence the value of base called the scale factor must be between 3.5 & 1.5.
4 & 5 are more than 3.5
0.9 is smaller than 1.5
But π = 3.14 lies between 3.5 & 1.5.
Hence the only option which can represent the graph of g(x) is
Option D) is the right answer
y = 8
using the ' gradient formula' m = (y₂ - y₁)/(x₂ - x₁)
with (x₁, y₁) = (3, 3), (x₂, y₂) = (- 5, y) and m = -
(y - 3)/( - 5 - 3) = -
(y - 3)/(-8) = -
multiply both sides by - 8 to eliminate fractions
y - 3 = 5
add 3 to both sides
y = 5 + 3 =8