Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find f(0)
we know that
Looking at the data in the table
When the value of x increases by 1 unit, the value of y increases by 3 units
therefore
When the value of x decreases by 1 unit from 1 to 0, the value of y would decreases 3 units from 5 to 2
thus
This value represent the y-intercept
Part 2) Find the equation of the given linear
Find the slope
take the points (1,5) and (2,8)
The equation of the line in slope intercept form is equal to
we have
substitute
<h3>
Answer: Choice D</h3>
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Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.
This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
The equation is 7=1x and answer x=7
<h3>
Answer: (2,0)</h3>
Explanation:
The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).
When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).
If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.
