Answer:
10
Step-by-step explanation:
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)
The solution to the given system of linear equations is (3, -1)
<h3>Graph of Linear Equations</h3>
From the question, we are to determine the graph of the system of linear equations
The given system of equations is
x - 2y = 5
3x + 15y = -6
The graph of the given system of equation is shown below
From the graph,
The point of intersection of the lines is at (3, -1)
Hence, the solution to the given system of linear equations is (3, -1)
Learn more on Graph of Linear equations here: brainly.com/question/14323743
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The slope-intercept is y = mx+b. You can use this as a technique for graphing to make the experience easier. The "5" would be the slope or rise/run of the line. The 10 would be where it started on the y-intercept. You could also say it would be (0,10). Since the slope is positive than it would be going in an upward direction. That is why this technique is good for graphing. I hope this helps you and please put me as the brainliest answer. :)
Answer:
Step-by-step explanation:
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