Answer:
B: 4^1
Step-by-step explanation:
I've attached an image showing the data relationship.
Answer:
1) y does not change based on changes in x: no-correlation
2) y tends to increase as x increases: positive correlation
3) y tends to decrease as x increases: negative correlation
Step-by-step explanation:
1) y does not change based on changes in x: This means that there is no correlation between y and x since change in x doesn't affect y.
2) y tends to increase as x increases: This implies positive correlation because the output increases with increase in input.
3) y tends to decrease as x increases: This implies negative correlation because the output decreases with increase in input values.
Step-by-step explanation:
First we need to get his speed:
speed = distance / time
If he travelled 24 miles in 20 mintues, his speed is 24 / 20 = 1.2 miles per minute
If he travelled 18 miles in 15 minutes, his speed is 18 / 15 = 1.2 miles per minute
Those two should give us the same answer since it says that the distance varies linear with time, which means that his speed is constant.
Then after 30 minutes he will have traveled: 1.2 x 30 = 36 miles
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Answer:
( x+1)^2 + (y+2)^2 = 25
The center is (-1, -2) and the radius is 5
Step-by-step explanation:
x^2 + 2x + y^2 + 4y = 20
Complete the square
2/2 =1 1^2 =1 so add 1 for x 4/2 =2 2^2 = 4 so add 4 for y
x^2 +2x +1 +y^2 +4y+4 = 20 +1 +4
( x+1)^2 + (y+2)^2 = 25
(x+1) ^2 + (y+2)^2 = 5^2
(x - -1) ^2 + (y - -2)^2 = 5^2
This is in (x-h)^2 + (y-k)^2 = r^2 form where (h,k) is the center and r is the radius
The center is (-1, -2) and the radius is 5
