Answer:
m = - 3
Step-by-step explanation:
a³ + 27 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9)
comparing a² - 3a + 9 to a² + ma + 9, then
m = - 3
Assume (a,b) has a minimum element m.
m is in the interval so a < m < b.
a < m
Adding a to both sides,
2a < a + m
Adding m to both sides of the first inequality,
a + m < 2m
So
2a < a+m < 2m
a < (a+m)/2 < m < b
Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.
Answer:
The answer is 135
Step-by-step explanation:
We can use formula: 162...120% since the price was increased by 20% which means it is 120%
So: 162...120%
x.... 100%
120x = 16200 => x = 135
Answer:
<h2>(A) 9</h2>
Step-by-step explanation:
Let’s put the number of the set 6, 10, 2, 7, 13, 15 in order from least to greatest :
2 , 6 , 7 , 10 , 13 , 15
we know that the median is the central value of the number set
then
if the median is 10
then x should be placed between 10 and 13 or 13 and 15
which means
x ≥ 10
therefore
9 could NOT be the value of x
