Answer:
y is 8/5 when x = -4.
Step-by-step explanation:
If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.
If "y=-8,when x=20," then we can find k: -8 = 20k, or k = -2/5.
Then y = (-2/5)x.
If x = -4, then y = (-2/5)(-4) = 8/5
y is 8/5 when x = -4.
Answer: The relative frequency of column A in group 1=
The relative frequency of column B in group 1=
The relative frequency of column A in group 2=
The relative frequency of column B in group 2=
Step-by-step explanation:
The relative frequency is the ration of each frequency by the total value in particular group.
For group 1 : Total =102+34=136
The relative frequency of column A in group 1=
The relative frequency of column B in group 1=
For group 2 : Total =18+14=32
The relative frequency of column A in group 2=
The relative frequency of column B in group 2=
It has one solution that is the answer
Answer:
A = 32
Step-by-step explanation:
A = ½ (a + b) h
A = ½ (3 + 10) 4
A = (3+5)4
A = (8)4
A = 32
For this case we have the following expression:
We follow the steps below:
We subtract 4x on both sides of the equation:
We subtract 10 from both sides of the equation:
Now, we must complete squares.
When we have an equation of the form:
, if we want to complete squares we must subtract c on both sides of the equation obtaining:
The square is completed by adding to both sides of the equation:
So, we have left:
In the given expression we have:
And to complete the square we have:
Rewriting we have:
We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:
So, we have:
Answer:
The intermediate step is to complete squares