Answer:
5n(2n^2-7n+5)
Step-by-step explanation:
A stem and leaf plot (histogram) shows the mode as the longest list of "leaves." It is the easiest to use for finding mode.
A box-and-whisker plot tells you nothing about relative frequencies.
A scatter plot or line graph would require careful re-interpretation to determine the mode. If the amount of data is large and there are many data values with about the same high frequency, these charts may be unhelpful, too.
Answer:
B) x = (-5 + √10)/3 and (-5 - √10)/3 is the answer.
Step-by-step explanation:
3x² + 10x + 5 = 0
a = 3
b = 10
c = 5
Finding the Discriminant (D),
D = b² - 4ac
D = 10² - 4 × 3 × 5
D = 100 - 60
D = 40
√D = 2√10
Using quadratic formula,
x = (-b ± √D)/2a
x = (-b + √D)/2a
x = (-10 + 2√10)/2 × 3
Taking out the common factor 2,
x = (-5 + √10)/3
Similarly,
x = (-b - √D)/2a
x = (-10 - 2√10)/2 × 3
x = (-5 - √10)/3
The side lengths 10.5 cm, 20.8 cm, and 23.3 cm create a right scalene triangle.