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:
16
Step-by-step explanation:
12+4=16
Problem 1
Answers: Choice A, choice D
The formula you use is
a & c/d = (a*d+c)/d
To convert from mixed number form to improper fraction form.
So,
6 & 2/3 = (6*3+2)/3 = (18+2)/3 = 20/3
And also,
8 & 1/5 = (8*5+1)/5 = (40+1)/5 = 41/5
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Problem 2
Answer: Reflection
Think of how mirrors cause a reflection and this should help you remember the term better. If we reflect point A over some line L, to get point A', then the distance from A to L is the same from A' to L also.
A verb form that functions as a noun is called a gerrund. :)
<u>-2.3 x = 0.46</u>
Step 1:
Divide each side by -2.3 : x = - 0.46 / 2.3
Step 2:
To simplify the fraction,
divide -0.46 by 2.3 : <em>x = - 0.2
</em>
