Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
Answer:Scott is over 3 times older that Kate
Step-by-step explanation:
Kate is 3 years old. Her brother, Scott is 10 years old.
A) The ratio of Scott's age to Kate's age would be Scott's age divided by Kate's age. It becomes
10/3
B) To determine how many times older than Kate is Scott, we would express the ratio of their ages in decimal. Therefore
10/3 = 3.33
Therefore, Scott is over 3 times older that Kate
Answer:
rjeov oke eieie
Step-by-step explanation:
To determine the answer, we need to express the fractions into its decimal counterparts. 3/5 is equal to 0.6 therefore it is closest to 0.5 while 1/10 is equal to 0.1 therefore it is the last option. Hope this answers the question. Have a nice day.
