Answer:
Hence the function which has the smallest minimum is: h(x)
Step-by-step explanation:
We are given function f(x) as:
- f(x) = −4 sin(x − 0.5) + 11
We know that the minimum value attained by the sine function is -1 and the maximum value attained by sine function is 1.
so the function f(x) receives the minimum value when sine function attains the maximum value since the term of sine function is subtracted.
Hence, the minimum value of f(x) is: 11-4=7 ( when sine function is equal to 1)
- Also we are given a table of values for function h(x) as:
x y
−2 14
−1 9
0 6
1 5
2 6
3 9
4 14
Hence, the minimum value attained by h(x) is 5. ( when x=1)
- Also we are given function g(x) ; a quadratic function passing through (2,7),(3,6) and (4,7)
so, the equation will be:
Hence on putting these coordinates we will get:
a=1,b=3 and c=7.
Hence the function g(x) is given as:

So,the minimum value attained by g(x) could be seen from the graph is at the point (3,6).
Hence, the minimum value attained by g(x) is 6.
Hence the function which has the smallest minimum is h(x)
80%, 1000-200 = 800/1000 or 80%
Number 1 is 0.2 and 0.4
number 2 is 0.53 and 0.56
number 3 is on the 0.3
number 4 is 1/3
number 5 is a little bit before the 0.7 mark
number 6 is 62/100
Answer:
-33 or 33
Step-by-step explanation:
The seventh term of an AP is written as:

The eleventh term of an AP is written as:

If the 7th term is 11 times the 11th term, then;

Expand to get:





We must have a=-52 and d=5
Or
a=52 and d=-5
For the first case, the 18th term is :

For the second case,

D. works because if you work it out that means 2n=140 and then divide by 2 which means n=70 and the other number is 71