G^2 - 28g + 196 = g^2 - 14g - 14g + 196 = (g^2 - 14g) + (-14g + 196) = g(g - 14) - 14(g - 14) = (g - 14)(g - 14)
Therefore, one of the factors of g^2 - 28g + 196 is g - 14
Step-by-step explanation:
I will do the first one as an example.
To find the inverse of y = f(x), simply switch x and y, then solve for y.
y = 3 + 2 ln x
x = 3 + 2 ln y
x − 3 = 2 ln y
(x − 3) / 2 = ln y
y = e^((x − 3) / 2)
So the inverse function is:
f⁻¹(x) = e^((x − 3) / 2)
The original function told us the amount of water as a function of time.
The inverse function tells us the time as a function of the amount of water.
Linda will both water & feed her plants on the same day on the 21st day.
Answer: See below
Step-by-step explanation:
<u>Let A represent</u> an adult who visited a therapist
<u>Let B represent</u> an adult who used a non-prescription antidepressant
<u>Given:</u>
P(A) = 0.28 P
P (B) = 0.43
P(A Intersection B) = 0.22
a) P(B ∩ A) = P (B ∩ A) / P(A) = 0.22/0.27
P(B | A) = 0.79 or 79%
b) P(A ∩ B) = P (A ∩ B) / P(B) = 0.22/0.4.3
P(A | B) = 0.51 or 51%
