Answer:
13.8
Step-by-step explanation:
the required constant can be calculated as:
according to the formula above:
Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:
h(t) = 10 - 0.75t
The height will be of 0.25 inches when h(t) = 0.25, hence:
0.25 = 10 - 0.75t
0.75t = 9.75
t = 9.75/0.75
t = 13 hours.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
Segment 1: 16
Segment 2: 9
x=12
Step-by-step explanation:
25=16+ segment 2
Subtract 25-16 and you get 9 and that is your Segment 2
Now, cross multiply
* 
9*16=144
Now simplify it.
144/12
And there is your x=12
I can confirm this is right because I just turned it in and it came out correct.
Commutative property :
-8 + 14 + 22 + 9 = -8 + 22 + 14 + 9
it basically means u can " commute " the numbers...move them around...and it does not change the result...u see how the 14 and 22 were " moved around "....and it did not change the result
