Answer: Hi!
First, we should combine like terms:
4b + 5b = 8b − 1 +3b + 15 =
9b = 11b + 14
Now, we should subtract 11b from both sides.
-2b = 14
Now, we should divide both sides by -2.
b = -7
Hope this helps!
Answer:
(x+9)^2 + (y+1)^2 = 100
Step-by-step explanation:
Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.
The center is the midpoint of the two endpoints on a diameter.
Here, it is (-9, -1).
Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.
The radius: sqrt(8^2 + 6^2) = 10
So the equation is (x+9)^2 + (y+1)^2 = 100
Answer:
Option a) Mean
Mean is affected a lot by the change in the last observation as the median remains the same.
Step-by-step explanation:
we are given the following in the question:
Data set A: 64, 65, 66, 68, 70, 71, 72
Data set B: 64, 65, 66, 68, 70, 71, 720
For data set A, the mean and median are 68.
For data set B:
Formula:

Sorted data:
64, 65, 66, 68, 70, 71, 720

Clearly, 720 is the is a outlier.
As seen mean is affected a lot by the change in the last observation as the median remains the same.
Step-by-step explanation:
p<5 that's the answer for the question
we are given

Here,
y is the number of gallons of water in the pool
x is the number of minutes the truck has been filing the pool
now, we will verify each options
option-A:
When x=1
then y=19.75
so, for 1 minute , number gallons =19.75
so, this is FALSE
option-B:
Since, we have

It is similar to equation of line
y=mx+b
But b=0
It means that it passes through origin
so, this is TRUE
option-C:

we can compare it with
y=mx
where m is the rate
so, we get

while we are given
the water in swimming pool increase about 100 gallons by every 5 minutes
so, we get rate as
gallons per minute
this is close to 19.75
so, they are approximately equal
so, this is TRUE
option-d:
x-value and y-value will show relationship
and ratio will always be constant or equivalent
because it has linear relationship
so, this is TRUE
option-e:
We need to check
(8,150) ..so, x=8 and y=150
we can plug this in our equation
and we get


Since, left side is not equal to right side
so, this can not be point
so, this is FALSE