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Zanzabum
3 years ago
10

In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 1)3 + 5. The turning point of the gr

aph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function. (10 points)
Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0
If it is a calculus question then you can find the derivative dT/dx, set it to zero and solve for x.  If this is a pre-calculus question, then you can answer is it as follows: 

The function T = x^3 has a turning point at x = 0. We can determine this simply by looking at the graph T = x^3. Therefore, (0,0) is the turning point for the graph T = x^3. The function T(x) = (x - 4)^3 + 6 will be the graph T = x^3 shifted to the right by 4 units and shifted up by 6 units. Therefore, the turning point will also shift from (0,0) to 4 units to the right and 6 units up. The turning point will be (4,6) for the function T(x) = (x - 4)^3 + 6.

You're welcome :)


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3 years ago
Kenny reads 4/9 page in 3/5 min. what is Kenny's unit rate? <br><br> Step by step.
il63 [147K]

Answer:

The unit rate is \frac{27}{20}\text{ page/minute}

Step-by-step explanation:

Given : Kenny reads \frac{4}{9} page in \frac{3}{5} min.

To find : What is Kenny's unit rate?

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Kenny reads \frac{4}{9} page in \frac{3}{5} minute

This can be written as,

\frac{4}{9}\text{ page}=\frac{3}{5}\text{ minute}

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\frac{4}{9}\times \frac{9}{4}\text{ page}=\frac{3}{5}\times \frac{9}{4}\text{ minute}

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I have no idea what 6/x = 8/19 is help bruv
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