Answer:
Direct Variation Use y=kx. Means “y varies directly with x.” k is called the constant of variation. “y varies inversely with x.” k is the constant of variation.
Ok sorry but there is no picture :(
Answer: y = 2000x + 89000
Step-by-step explanation:
Given that;
initial purchase amount = $89,000
price after 6 years = $ 101,000
years = 6
now
slope = ( 101000 - 89000) / 6
slope = 12000 / 6
slope = 2000
therefore the linear equation that models the value of the house after x years will be;
y = 2000x + 89000
The domain of the graph is
while the range of the graph is
.
- The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.
For the graph, the domain will be the values of the graph along the x-axis.
- Domain =
(Note that -8 is not included)
- For the range, the interval is given as:
. Note that the value of 4 is not included since it is opened.
Learn more on domain and range here: brainly.com/question/1942755
Answer:

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel
And the anfle is approximately 
Step-by-step explanation:
For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.
a=[1,2,-2], b=[4,0,-3,]
The dot product on this case is:

Since the dot product is not equal to zero then the two vectors are not orthogonal.
Now we can calculate the magnitude of each vector like this:


And finally we can calculate the angle between the vectors like this:

And the angle is given by:

If we replace we got:

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel
And the anfle is approximately 