The key features of the above given functions are correctly matched to their corresponding definition.
<h3>Definition of terms</h3>
- Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.
- End behaviour: This is what happens to the graph on the far left or far right. That is option E.
- Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.
- Intercepts: This is the points where the graph crosses an axis. That is option B
- Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.
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Answer:
We conclude that the rule for the table in terms of x and y is:
Step-by-step explanation:
The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.
We know the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept.
Taking two points
Finding the slope between (-2, -4) and (-1, -1)




We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.
Taking another point (0, 2) from the table.
It means at x = 0, y = 2.
Thus, the y-intercept b = 2
Using the slope-intercept form of the linear line function
y = mx+b
substituting m = 3 and b = 2
y = 3x+2
Therefore, we conclude that the rule for the table in terms of x and y is:
Answer:
a=6.9
Step-by-step explanation:
Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get
, which after cross multiplying yields
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Answer: False.
Values that are in common with both circles will be inside both circles. These values will be in the overlapping region of the two circles.
Answer:
the answer is 12
Step-by-step explanation:
Simplify both sides of the equation.
12(b−10)+2b=25
(12)(b)+(12)(−10)+2b=25(Distribute)
12b+−5+2b=25
(12b+2b)+(−5)=25 (Combine Like Terms)
52b+−5=25
52b−5=25
add 5 to both sides.
52b−5+5=25+5
52b=30
multiply both sides by 2/5.
(25)*(52b)=(25)*(30)
b=12