A tortoise is walking in the desert. It takes 4 minutes to walk 6.4 meters. What is its speed?
1 answer:
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Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:
Taking first derivative
Now the first derivative has to be put equal to zero to find the critical value
The function has only one critical value which is 5.
Taking 2nd derivative
As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function
Hence,
<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Answer:
The rate of change between (1, 5) and (0, -3) would be 8.0.
Step-by-step explanation:
"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".
We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:
where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.
Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:
8 = 8.0, so the answer would be 8.0.
The rate of change between the two points would be 8.0.
I hope you find my answer helpful. :)