4x-2y=8 ==> y=2x-4 (to better show you what I mean)
2 lines are parallel if they have the same slope (m the coefficient of x).
So y=mx + b // y =2x-4 means m=2 & y=mx + b, becomes y=2x + b.
Moreover they are telling us that this function passes by (-2,1), where -2 represents x & 1, represents y. To calculate b , replace x & y by their values:
y=2x+b ==> 1 = 2(- 2) + b==> 1 = -4 + b ==> b= 5. Finally the equation is
y=-2x+5
Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of
are
and
, respectively.
Plugging these values into the first inequality,
, gives us
, which simplifies to
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality,
, gives us
, which simplifies to
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore,
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!
Answer:
x=-5
Step-by-step explanation:

Answer:
1000
Step-by-step explanation:
The theory is that <em><u>"experimental probability goes closer and closer in value to the theoretical probability as the number of trials increase."</u></em>
So <em>more trials means more they are closer and equivalent.</em>
So out of the answer choices, the largest number of trials is 1000.
1000 is the correct answer.
Answer:
20 pencils
Step-by-step explanation:
4 pens (4) = 16 pens
5 pencils (4) = 20 pencils
This works because 4/5 and 16/20 are the same ratio, 16/20 isn't simplified..