Step-by-step explanation:
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
These are examples of exponential equations:
y = a bˣ
If b > 1, the equation is exponential growth.
If 0 < b < 1, the equation is exponential decay.
So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.
Also, 2/3 is the inverse of 3/2, so:
g(x) = (3/2)^(-x)
So more specifically, f(x) and g(x) are reflections of each other across the y-axis.
<span>x²-x-30=0
factor this equation first
(x-6)(x+5) = 0
x - 6 = 0
x + 5 = 0
x = 6 , x = -5
</span>
Baker's Flour in kg
Y x x
A x x
X x x x x x x
I -----------------------------------------------------------
S 2 1/2 3 1/4 4 4 1/4 4 1/2 5
X axis
It would be 3.5 in each bag after the baker redistributes the flour. This is because the total flour would be 35 kg. 35 divided by 10 is 3.5 kg of flour in each bag.
The median of the triangle is a segment that connects the vertex of the triangle to the midpoint of the side opposite to the vertex. <span>The altitude of the triangle is a segment that connects the vertex of the triangle to the side opposite to the triangle, which intersects that side at exactly 90°.</span>