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4 years ago

Which of the following best describes the graph above?

Mathematics

1 answer:

Assoli18 [71]4 years ago

4 0

Answer:

Option C

Step-by-step explanation:

To test a graph whether it represents a function or relation we conduct a vertical line graph.

If the vertical line intersect the graph at two different points, graph represents a relation only.

By analyzing the given graph with the vertical line test,

Since, a vertical line (x = -4) intersect the graph at two points (y = -1 and y = 5),

Given graph represents a relation only.

Option C is the answer.

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Hey, I need help with this math problem FAST!

Pani-rosa [81]

Answer: No, No, Yes, Yes, Yes

<u>Step-by-step explanation:</u>

At 2:15 the temperature is 7°

It decreases 3° every 15 minutes ⇒ -3

Here is a table:

time | temperature

2:15 | 7

2:30 | 7 - 3 = 4

2:45 | 7 - 3 - 3 = 1

3:00 | 7 - 3 - 3 - 3 = -2

3:15 | 7 - 3 - 3 - 3 - 3 = -5

3:30 | 7 - 3 - 3 - 3 - 3 - 3 = -8

Do you see a pattern? This can be written as:

7 + (-3) + (-3) + (-3) + (-3) + (-3) + (-3)

7 - (3)(5)

7 + 5(-3)

3 0

3 years ago

The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min

Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

$T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75$

$T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3$

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3 years ago

Are the following rational or irrational?

Scilla [17]

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3 years ago

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Kay [80]

The answer is 2-3-5-7-9.

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3 years ago

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dangina [55]

So I drew a picture
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3 years ago

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