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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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<u>It's not given a scatter plot not the characteristics of the variables, but it can be safely assumed as shown below</u>

Answer:

<em>The diver's depth will be -42.9 after 30 minutes</em>

Step-by-step explanation:

The equation of the trend (or best fit line) for the scuba diver's depth in the ocean is:

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3 years ago
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4 years ago
Find all solutions to 6x^4+13x^3–71x^2+67x=15​
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Refer the attachment for steps

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3 years ago
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</span>
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3 years ago
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