X 5,10,15,20,25 , Y 25,50,75,100,125 Based on the information in the table, what is the constant of proportionality?
Trava [24]
Answer:
5
Step-by-step explanation:
because its counting up by 5
Answer:
x=-3
Step-by-step explanation:
The quadratic function 
determines the parabola which has the vertex at point (-3,5). The axis of symmetry passes through the vertex and is parallel to the y-axis. Hence, its equation is x=-3 (see attached diagram).
According to your text first equation is
y = 3x+2
second equation is
y = Ix-1I + 1
Definition of our absolute value Ix-1I is
1) we take x-1 with condition x-1≥0 => x≥1
2) we take -(x-1) = -x+1 with x<1
Let's form the first system with condition x≥1
y= 3x+2 and y=x-1+1=> y=x
If the left sides of the equations are equal, than the right sides are equal too
3x+2=x => 3x-x=-2 => 2x=-2 => x=-1
This solution we can't accept because it does not meet the condition
x≥1
Lets's form the second system with condition x<1
y=3x+2 and y= -x+1+1 =. y = -x+2
In the same way as previous the right sides are equal =>
3x+2=-x+2 => 3x+x = +2-2 => 4x=0 => x=0
We accept this solution bacause its meet with condition x<1
When we replace this solution in equation y=3x+2 we got
y=3*0+2=2 Only one solution is (x,y) = (0,2)
Good luck !!!!!
I'm not at my desk and can't check it out right now.
But I think you should try 10 and -42 .
Answer:
D. All of the above
Step-by-step explanation:
Samples may be classified as:
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this problem:
Two random samples are selected and combined. The combination is a random sample. So A. is correct.
They are not balanced. More male professors than female are chosen. So B. is correct.
The teachers are divided into groups(male and female). And some members of each group are selected. So C. is correct.
So the correct answer is:
D. All of the above
