Answer:
y=-3/2x+6
Step-by-step explanation:
You can find the slope by taking two points on the graph, and making the one that occurs earlier in the graph (from left to right) the first point (x1, y1) and the one that occurs later in the graph the second point (x2, y2). The equation is m (or slope)=(y2-y1)/(x2-x1). I took the first two points in the table for this. m=(12-18)/-4-(-8)
the double negative on the bottom becomes an addition=> (12-18)/(-4+8)
the top simplifies to be -6 and the bottom simplifies to 4=>-6/4
this fraction can be reduced to -3/2, which is the slope of the graph.
Now, use point slope form (y-y1=m(x-x1)) to find the equation of the graph. Plug any coordinate on the graph in for x1 and y1 here. It should be correct as long as it is a point on the graph, but I am using the point (-8, 18) here.
=>y-18=-3/2(x-(-8))
the double negative in the parentheses becomes a positive=> y-18=-3/2(x+8)
distribute the -3/2 to every term in the parentheses=> y-18=-3/2x-12
add 18 to both sides, cancelling out the -18 on the left side of the equation=>y=-3/2x+6 (-12+18=6 to get 6 for b).
Therefore, the equation is y=-3/2x+6
Answer:
Step-by-step explanation:gsgsbwbw
Hshsh
All we have to do here is divide how much she paid ($1.15) by how many pounds of dried fruit she bought (2.5 pounds)
1.15 ÷ 2.5 = 0.46
Therefore each pound costs $0.46
Hope this helps
-AaronWiseIsBae
Step-by-step explanation:
This is actually a very old riddle, but it is two guards and two doors life death .
So let's apply the same logic to this one.
You only meet one villager and you don't know if he is one of the ones who only tells the truth or always lies, to answer this riddle, the question is actually to an hypothetical third party, another villager, not present, this is a little convoluted so bear with me:
(Pointing to one of the roads): If I asked another villager if this road would lead me to the ruins, would he be correct?
If the villager is a truth one, the true-villager, would tell you that the liar-villager would say no (thus leading you to the jungle).
- Let's analyze this one, so the villager always tells the truth, and you happen to be pointing to the right direction (ruins), he is answering, that if you would ask another villager whether that is the correct road, that villager would say yes, since you are pointing at the right direction, a liar would tell you no, because the liar would point you to the other road as the correct (jungle), so the true-villager will say no
- If you happen to be pointing to the wrong direction (jungle), he is answering, that if you would ask another villager whether that is the correct road, that villager would say yes, since you are pointing at the wrong direction, the truth-villager would tell you no, because the liar would point you to the wrong road as the correct (jungle), so the villager will say no
Therefore, no matter what villager you run into, the question will always lead you to the jungle, and therefore you pick the other road.
Answer:
the remaining money is $1189.22
Step-by-step explanation:
