Which graph might represent a polynomial function of degree 5 with a negative leading coefficient?
1 answer:
Answer:
A
Step-by-step explanation:
The graph of a 5th-degree polynomial with a negative leading coefficient will start at (-∞, +∞) and end at (+∞, -∞). That is, it will have the overall shape \, <em>downward from left to right</em>. Along the way, it may change direction 0, 2, or 4 times, and may intersect the x-axis up to 5 times.
Only one of the graphs shown has the described end behavior. All of the others have the general shapes ...
B: /
C: ∩
D: U
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We have the following points and their coordinates:
We must compute the distance ST between them.
The distance ST between the two points is given by:
where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.
Replacing the coordinates of the points in the formula above, we find that:
Answer: ST = √50
Answer:
D
Step-by-step explanation:
Probability of falling NOT in the shaded region is "area of white region" <em>divided by</em> "area of whole rectangle (big one)".
<u>Area of whole rectangle:</u>
Area of rectangle = length * width = 10 * 5 = 50
<u>Area of White Region:</u>
First, area of shaded region = length * width = 4 * 2 = 8
Now,
Area of white region = area of whole rectangle - area of shaded rectangle
Area of white region = 50 - 8 = 42
Hence, probability is
0.84 = 84%
Answer choice D is right.