Answer:
y=1
Step-by-step explanation:
y = 11x + 1
11x + 12y = 12
Take the right side of the first equation, which is 11x + 1,
since y equals it, put it in parentheses like this (11x + 1)
and put it in place of y in the second equation.
The second equation is
11x + 12y = 12
Take out the y and put in (11x + 1) in place of the y:
11x + 12(11x + 1) = 12
Remove the parentheses by using the distributive principle:
11x + 132x + 12 = 12
Combine like terms on the left
143x + 12 = 12
Subtract 12 from both sides
143x = 0
Divide both sides by 143
x = 0
Now go back and get the very first equation:
y = 11x + 1
And substitute (0) for x:
y = 11(0) + 1
y = 0 + 1
y = 1
Answer:
1
Step-by-step explanation:
Answer:
robability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B. - If P(A) = P(B) then events A and B are equally likely to occur.
Step-by-step explanation:
Answer:
y = 2|x| - 3
Step-by-step explanation:
We'll start with our parent function which is y = |x|. Notice that graph is translated down by 3 units. So, we'll add that:
Also notice that the ordered pair (1, -1) is on the graph. |1| = 1, so a translation of -3 should take it to -2 and it should have been (1, -2). But, it's not so it must be that the graph is stretched/compressed. If you multiply every point by 2, it gives us the result we want. Say for example, f(1) = 2|1| - 3 = 2 - 3 = -1. We get the point (1, -1) which is exactly what we want. We write compressions as (where a is the compression/stretching constant):
Our compression constant is 2, so our final answer is:
<em>y = 2|x| - 3</em>.
