<span>The correct answer is that y does not vary directly with x.
Explanation<span>:
If y varies directly with x, this means that it would fit the equation y=kx for every point in the set.
For the first point, we would have 11=7k; this would mean that k=11//7.
For the second point, we would have 13=8k; this would mean that k=13/8.
Checking using proportions shows us that 11/7 does not equal 13/8:
cross multiply, and you have 11*8=7*13, or 88=91.
This is not true, so k is not a constant, and y does not vary directly with x.</span></span>
Answer:
Dilation
Step-by-step explanation:
Given
Main function: f(x)
Resulting function: 5f(x)
Required
Which transformation exists between both functions
The general explanation is that:
When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).
Mathematically, if the following relationship exists between f(x) and g(x)
g(x) = k.f(x)
Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio
In this case:
g(x) = 5f(x)
So, the transformation that answers the question is dilation.
Answer:
41.5 units
Step-by-step explanation:
Given the data :
Month : J F M A M J J A S O N D
Inflow : 3 4 5 3 4 10 28 17 7 6 3 2
Outflow : 7 8 7 11 6 8 21 12 5 4 5 9
The unit of water in reservoir at the middle of August :
Initial unit = Unit of water at the start of the year = 50
Middle of August :
Inflow = 17 /2 = 8.5
Outflow = 12 /2 = 6
Unit of water at the middle of August :
Initial unit + Inflow - Outflow
Inflow till mid-August = (3+4+5+3+4+10+28+8.5) = 65.5
Outflow till mid-August = (7+8+7+11+6+8+21+6) = 74
50 + 65.5 - 74 = 41.5
C) Muscles in the iris control the amount of light that enters the eye
