Answer:
y = 3x + 62
Step-by-step explanation:
Trend line equation in the form :
y = mx + b
m = slope
b = intercept
Using the points :
(0, 62) ; (6, 80)
Slope, m = Rise / Run = (y2-y1) / (x2 - x1)
y2 = 80 ; y1= 62 ; x2 = 6 ; x1 = 0
m = (80 - 62) / (6 - 0)
m = 18 / 6
m = 3
Intercept, b = value of y when x = 0
(0, 62) ; hence, b = 62
y = 3x + b
y = 3x + 62
The probability that a child with a speaking part is chosen randomly would be 2:5.
(9^x) - 3 = 2*3^x
(9^x) - 3 - (2*3^x) = (2*3^x) - (2*3^x)
(9^x) - (2*3^x) - 3 = 0
(3^2)^x - 2*(3^x) - 3 = 0
3^(2x) - 2*(3^x) - 3 = 0
3^(x*2) - 2*(3^x) - 3 = 0
(3^x)^2 - 2*(3^x) - 3 = 0
z^2 - 2*z - 3 = 0 ............ let z = 3^x
(z - 3)(z + 1) = 0
If z-3 = 0, then z = 3 when we isolate z
If z = 3, and z = 3^x, then
z = 3
3^x = 3
3^x = 3^1
x = 1
which is a solutin in terms of x
If z+1 = 0 then z = -1
If z = -1 and z = 3^x, then there are NO solutions for this part of the equation
The quantity 3^x is never negative no matter what the x value is
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Answer: x = 1
