Which expression can be used to determine the slope of the linear function represented in the table?
2 answers:
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Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3
Before inserting the values of the variables, I recommend writing the equation in its simplest form.
First, use the distributive property and distribute 4:-
8x+4y-2y+z
Simplifying,
8x+2y+z
Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.
First, write -2 in lieu of x:-
8(-2)+2y+z
-16+2y+z
Now, write 4 in lieu of y:-
-16+2(4)+z
-16+8+z
-8+z
Final step:-
write -3 in lieu of z:-
-8+(-3)
-8-3
-11
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Answer:
Outcomes: S = {1, 2, 3, 4, 5, or 6}
The outcomes of rolling a single die are equally likely.
Step-by-step explanation:
A single fair die has six faces. Each face has dots on it, numbered {1, 2, 3, 4, 5, or 6}.
On rolling the die the possible outcomes are:
S = {1, 2, 3, 4, 5, or 6}
Thus, there are a total of 6 possible outcomes.
Equally likely events are events that has the same probability of happening.
For example, if events <em>A</em> and <em>B</em> are equally likely then <em>P </em>(<em>A</em>) = <em>P </em>(<em>B</em>).
The outcomes of rolling a die are equally likely because the probability of any of the 6 faces showing up are same, i.e.
Thus, the outcomes of rolling a single die are equally likely.