Answer:
x = -2
Step-by-step explanation:
From x = -2 to x = 5, f' is negative. That means f is decreasing.
From x = 5 to x = 6, f' is positive. That means f is increasing.
The negative area (between x = -2 and x = 5) is larger than the positive area area (between x = 5 and x = 6). That means f decreases more than it increases.
So f is an absolute maximum at x = -2.
The data has been properly arranged in tabular form and is shown below in the image.
First we need to find the mean and median of scores of both students.
1) For Amo:
Mean =

Median = Middle Value when data is arranged in ascending order = 90
2) For Javier:
Mean =

Median = Middle Value when data is arranged in ascending order = 92
For both the students, value of Median is larger then the mean. So in order to give the best possible grade Mr. Malloy should use the median score for both students.
S = 180° ( n - 2 )
The equation for n is:
n = s / 180° + 2
s = 1,260°
n = ( 1,260° : 180° ) + 2 = 7 + 2 = 9
Answer:
A polygon has 9 sides.
Answer: 1/4
Step-by-step explanation:
Let the volume of mixture (6%fat) in cup is 100cc
x cc be the volume of cream (18% fat) in the mixture.
∴
(100−x) cc be the volume of milk (2% fat) in the mixture.
x * 0.18+(100−x) * 0.02=100
⋅0.06 or 0.18x − 0.02x = 6−2 or 0.16x
= 4 or x=25 cc = 25%
H represents the height of the ball at a given time, symbolised as t.
Thus, we just need to find when h = 0 so that we find when it hits the ground.
0 = -4.9t² + 19.6t + 58.8
0 = 4.9t² - 19.6t - 58.8
0 = 49t² - 196t - 588
0 = t² - 4t - 12
0 = (t - 6)(t + 2)
So, t = 6 or -2, but t ≠ -2, since time cannot be negative in this instance.
Hence, at 6 seconds, the ball will strike the ground.