Warm up, main activity and __________ three main parts of an exercise session. * a) running b) cooling down c) sitting
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Using it's definition, it is found that the function f(x) has a point of inflection at:
A. x = 8 only.
<h3>What are the points of inflection of a function?</h3>- The critical points of a function are the <u>values of x</u> for which:
- Additionally, there has to be a change in the sign of
Researching the problem on the internet, it is found that:
- For 0 < x < 5,
.
- For x = 5,
is undefined.
- For 5 < x < 8,
.
- For x = 8,
.
- For 8 < x < 12,
- For x = 12,
- For 12 < x < 16,
The two conditions, and a change in the signal of
are only respected at x = 8, which is the lone inflection point.
You can learn more about points of inflection at brainly.com/question/10352137
By rewriting the equation from step 1 substituting the value of k into it, the value of x is 22.5
A direct variation is a type of variation that has two types of variables in which a variable can be expressed in terms of the other with its constant.
For example;
If x varies directly as y
<h3>Step 1:</h3>Then
- x
y
- x = ky ; where k is constant
The original question says:
- if x varies directly as y, and x = 9 when y = 6, find x when y = 15
∴
x = ky
9 = k × (6)
k = 9/6
k = 1.5
<h3>Step 3:</h3>Now, we can rewrite the equation from step 1 substituting the value of k into it:
∴
x = ky
- when y = 15 and k = 1.5
The value of (x) will be:
x = 1.5 (15)
x = 22.5
Learn more about Direct variation here: