First, we need to convert all the givens to decimal numbers. This will ease the arrangement process.
0.43 is already given as a decimal
3/7 is equal to 0.428
43.8% is equal to 0.438
7/16 is equal to 0.4375
Now, it has become easy to arrange the givens from smallest to biggest as follows:
0.428 , 0.43 , 0.4375 , 0.438
Changing the decimals back to the given form, we will find that the arrangement from the smallest to the biggest is as follows:
3/7 , 0.43 , 7/16 , 43.8%
Answer:
For a function y = f(x), the range is the set of all the possible values of y.
In the question you wrote:
y = secx - 2
This can be interpreted as:
y = sec(x - 2)
or
y = sec(x) - 2
So let's see each case (these are kinda the same)
If the function is:
y = sec(x - 2)
Firs remember that:
sec(x) = 1/cos(x)
then we can rewrite:
y = 1/cos(x - 2)
notice that the function cos(x) has the range -1 ≤ y ≤ 1
Then for the two extremes we have:
y = 1/1 = 1
y = 1/-1 = -1
Notice that for:
y = 1/cos(x - 2)
y can never be in the range -1 < x < 1
As the denominator cant be larger, in absolute value, than 1.
Then we can conclude that the range is all reals except the interval:
-1 < y < 1
If instead the function was:
y = sec(x) - 2
y = 1/cos(x) - 2
Then with the same reasoning, the range will be the set of all real values except:
-1 - 2 < y < 1 - 2
-3 < y < -1
Answer:
C
Step-by-step explanation:
y coordinates must be at the numerator, while x coordinates at the denominator
Answer:
H.''n is not divisible by 6 and n is not divisible by both 2 and 3.
Step-by-step explanation:
We are given that a statement ''n is divisible by 6 or n is divisible by both 2 and 3.''
We have to write the negation of the given statement.
Negation: If a statement p is true then its negations is p is false.
n is divisible by 6 then negation is n is not divisible by 6.
n is divided by both 2 and 3 then negation is n is not divisible by both 2 and 3.
Therefore, negation of given statement
''n is not divisible by 6 and n is not divisible by both 2 and 3.
Hence, option H is true.
