Which of the tables represents a function ? Table P 8,3 1,7 5,4 Table Q 9,3 9,5 4,2. Table R 7,2 8,6 7,3. Table S 1,7 1,5 9,2 Ta
babymother [125]
Table P because it is a one-to-one relation.
The other 3 are one-to-many relations (eg table Q maps 9 on to 3 and 9 on to 5)
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
There are 2 ways to do this. I'm going to do it the way that I think is most simple.
You have to find their LCM which is 40. Now times 40 to 1/4 v and 7/10
The equation then becomes 10+40v=28
You simplify it: 40v=18
v= 9/20
Answer:
x = -7
Step-by-step explanation:
5x+8=3x-6
Subtract 3x from each side
5x-3x+8=3x-3x-6
2x+8 = -6
Subtract 8 from each side
2x+8-8 = -6-8
2x = -14
Divide by 2
2x/2 = -14/2
x = -7
