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1 answer:
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Answer:
y = x + 2
Step-by-step explanation:
As the equation of a line is in the form y = mx + c:
Step 1 - Calculate the y intercept
This can be done by looking at the y coordinate where x = 0:
y = mx + c
In the picture, the y intercept is 2 so:
y = mx + 2
Step 2 - Calculate the slope
This can be calculated by:
Get two sets of coordinates:
(0, 2) and (2, 4)
Calculate the changes by subtracting from one another:
So the gradient is 1, meaning the equation of the line is:
Hope this helps!
The given population models for the trees is given as:
It is required to find which forest will have a greater number of trees after 20 years and by how many.
To do this substitute t=20 in the equations of the models:
Hence, forest A has a greater number of trees after 20 years.
Calculate the difference:
It follows that forest A has a greater number of trees than forest B by 43 trees.
After 20 years, forest A has a greater number of trees than forest B by 43 trees.
Answer:
I. D:
ii. R:
iii. Y-int:
Step-by-step explanation:
i) The given absolute value function is
The domain is all values of x that will make the function defined.
The absolute value function is defined for all real numbers.
The domain is all real numbers.
ii) The range is the values of y for which x is defined.
The given absolute value function is
This function has the vertex at and it is reflected in the x-axis therefore the vertex is the maximum point on the graph.
The y-value of the vertex is the maximum value on the graph.
Hence the range is
iii) To find the y-intercept, we put x=0, into the function to get;
The y-intercept is or (0,-6)
See graph in attachment.
