Josiah takes a multiple-choice quiz that has three questions. Each question has five answer options. If he randomly chooses his
2 answers:
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Answer:
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if and
vary inversely, their product will be the same for all values of
and
.
Let and
as given in the problem. Substitute values:
Hence, the maintained product is .
Thus, we have the following equation:
Substitute to find the value of
when
:
Answer:
Domain: -5 x < 1
Range: -4 y < 7
Step-by-step explanation:
The domain is the x-values for which the function exists. It starts off at x=-5, and since the dot is closed it includes it, and finishes at x = 1, where the dot is open.
The range is the y-values for which the function exists. It starts at y= -4, and since the dot is closed there, it includes his value. Then, it finishes at y = 7, where the dot is open meaning it doesn't include it.
Answer:
n=37
Step-by-step explanation:
Two lines intersect and create vertical angles.
The vertical angles are
We know that vertical angles (also called vertically opposite angles) are equal. Therefore: