Answer:
Table 3
Step-by-step explanation:
In a proportional relationship there must be a constant rate of change.
The first table:
6-5 / 9-7 = 1/2
5-3 / 7-4 = 2/3
These are not equal so it is not proportional.
The second table:
10-8 / 150-120 =2/30
8-5 / 120-75 = 3/45
These are not equal so it is not proportional
The third table:
10-8 / 12-10 =2/2 = 1
8-6 / 10-8 =2/2 = 1
These are equal so this table is proportional.
The fourth answer is correct, the rest are incorrect.
You express the values in which the teacher or tutor or whatever assigned you.
First, move x variable to the other side of the equation. (5y+3x-3x=10-3x)
Simplify. (5y=10-3x).
Now to get the y value alone, we divide all the variables by 5. (5y/5=10/5-3x/5)
Simplify. (y=2-3/5x)
Y=2-3/5x is your final answer.
Hope this helped!
Let f(x) = sqrt(x). Use linear approximation about x = 25, since 24 is close to 25, and since it is easy to take the square root of 25.
Note that f ' (x) = 1/[2sqrt(x)] from the power rule.
About x = 25, f(x) is approximately f(25) + f ' (25)(x - 25).
So sqrt(24) = f(24) is approximately
f(25) + f ' (25)(24 - 25) = sqrt(25) + {1/[2sqrt(25)]}(-1) = 5 - 1/10 = 4.9 .