Answer:
The required probability is, 
Step-by-step explanation:
P(A sandwich is made of roast beef) = 
P(A snack is made of popcorn) = 
Since, the two events, i. e., 'A sandwich is made of roast beef' and 'A snack is made of popcorn' are independent, so,
P(Gretchen will get a roast beef sandwich and popcorn in her box)
= 
= 
Step-by-step explanation:
1. convert the equation to its y = mx + b format. remember m is the slope (rise/run) and b is the y-intercept.
2. equation given: x + 2y = -6
bring x over to other side
3. now its looks like 2y = -6 - x
to get y by itself we need to divide by 2
4. now equation looks like y = -6/2 -x/2
we can reduce it so the final equation is
5. y = -1/2x - 3
this is in y=mx+b format. now its much easier to graph
6. the slope is -1/2 and the y-intercept is -3. put a point at (0,-3) and use the slope (-1/2) rise over run to get each point.
7. you move to the left because its negative
SU will be 14 is the answer
Answer:
yes
Step-by-step explanation:
well im going to assume that the original equation is y = -3/2x - 2
if that is the case, then if you plug in the numbers
4 = -3/2(-4) - 2
4 = 6 - 2
4 = 4
so yes when x is -4, y is 4; (x, y) (-4, 4)
I'm thinking this is what the problem looks like:

. The first thing to do is to move the

over to the other side because it has a common denominator with the other side. Doing that and at the same time combining them over their common denominator looks like this:

. The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4). Distributing through the parenthesis is 12 - 3x = -4x + 16. Solving for x gives us x = 4. Of course when we sub a 4 back in for x we get real problems, don't we? Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.