Answer:
Step-by-step explanation:
using sin formula

Answer:

Step-by-step explanation:
y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.
4 =
(3) + b
-2/3 times 3 is -2 so you can fill that in place.
4 = -2 + b
<u>+2 +2 </u>
6 = b
So the y-intercept is 6 now we can complete the equation.

Hope that helps and have a great day!
Hello,
Shall we begin?
Minutes of hour = 60
Hours per day = 24
Days = 5.4
= 24 * 60 * 5.4
= 7,776
<span>Answers: a) 7,776</span>
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)