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)
Answer:
Step-by-step explanation:
Week 1 = 78
Week 2 = 100
Week 3 = 122
Week 4 = 154
Week 5 = 173
Week 6 = 194
Week 7 = 213
Week 8 = 131
1 ton (US) is defined as 2,000 pounds.
That would be more than 100 pounds.
The answer is X less than or equal to 1
Answer:
A. -1,2
Step-by-step explanation:
take point B move it 7 units (positive) across the x axis then from there 5 units (negative) down. That point lands on (-1,2) so B’ has the new point of that