the answer is:
A. slope: 9, y-intercept: -6
Answer:
Second option is the correct answer.
Step-by-step explanation:
Assume that each material in each category has an equal chance of being selected.
Categories:
(a) Type of wood used to make the cabinet: birch, maple, cherry.
Each type of wood has a probability of 1/3 to be selected.
(b) Type of finish: transparent, semi-transparent.
Each type of finish has a probability of 1/2 to be selected.
(c) Knob: bronze, steel, wood.
Each material has 1/3 probability to be selected.
Each event (selecting material for the cabinet, for the finish, and for the knob) is an independent event.
Therefore
Probablity(birch wood AND bronze knob) = (1/3)*(1/3) = 1/9
Probability(wood knob) = 1/3
Probability(transparent stain) = 1/2
Probability(cheryy wood AND semi-transparent stain) = (1/3)*(1/2) = 1/6
Answer:
The value of x that makes the equation equal to 0 is -2.
Step-by-step explanation:
In order to find this, we first must create the composite function using the designated operation. The operation is addition, so we just add them together.
f(x) + g(x) = (f+g)(x)
(x^2 - 2x) + (6x + 4) = (f+g)(x)
x^2 + 4x + 4 = (f+g)(x)
Now, in order to find when this is equal to 0, we need to factor.
x^2 + 4x + 4 = 0
(x + 2)(x + 2) = 0
When it is fully factored, we can set each parenthesis equal to 0 in order to find the value. Since the parenthesis are exactly the same, we only have to do this once.
x + 2 = 0
x = -2
