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Phoenix [80]
3 years ago
6

(04.01 MC) A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 10 inches. Part A: Writ

e a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 10) would represent a height of 10 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points) Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points) Part C: If the rate at which the candle burned was 0.75 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
Mathematics
1 answer:
olganol [36]3 years ago
6 0

Answer:

Part A: (0,9) (2,8) (4,7) (6, 6) (8, 5) (10, 4) i figured out how many hours it would take to burn one inch.

Part B: yes, because i can figure out the rate of change of the candle.

Part C: yes it would be in 0.9 hours it would go down one inch

hopw this helps! :)

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Sonja [21]

Answer:

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Step-by-step explanation:

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set you equation: 0.015x = 60

divide both sides by 0.015: x = 4000

6 0
3 years ago
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Find the absolute maximum and minimum values of the following function in the closed region bounded by the triangle with vertice
alukav5142 [94]

f(x,y)=2x^2-8x+y^2-8y+2

f_x(x,y)=4x-8=0\implies x=2

f_y(x,y)=2y-8=0\implies y=4

There is one critical point at (2, 4), but this point happens to fall on one of the boundaries of the region. We'll get to that point in a moment.

Along the boundary x=0, we have

f(0,y)=y^2-8y+2=(y-4)^2-14

which attains a maximum value of

f(0,4)=-14

Along y=44, we have

f(x,44)=2x^2-8x+1586=2(x-2)^2+1578

which attains a maximum of

f(2,44)=1578

Along y=2x, we have

f(x,2x)=6x^2-24x+2=6(x-2)^2-22

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8 0
2 years ago
The miles-per-gallon obtained by the 1995 model Z cars is normally distributed with a mean of 22 miles-per-gallon and a standard
AlekseyPX

Answer:

0.42074

Step-by-step explanation:

In this question, we are asked to calculate the probability that a car will get less than 21 miles per gallon.

This is P(x < 21)

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Therefore the probability of getting less than 21 miles per gallon will be;

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4 0
3 years ago
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Akimi4 [234]

Answer:

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3 years ago
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scZoUnD [109]

Answer:

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5 0
3 years ago
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