Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?
2 answers:
The average rate of change is defined as:
For AVR to be negative, it must comply with:
Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.
Among the options given, this interval is:
1 to 2.5
Answer:
An interval on the x-axis that has a negative rate of change is:
D. 1 to 2.5
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Please find the attached file for a better understanding of the explanation given here.
the attached diagram is a generated image of the first fifteen rows of a pascal's triangle. As can be seen from the image, the least four-digit number in the first fifteen rows of pascal's triangle is 1001.
In the diagram attached that number is present in the very last row and is highlighted using a yellow rectangle.
For this case we have to:
x: Let the variable representing the unknown number
We algebraically rewrite the given expression:
Twice a number plus 10, is represented as:
Three times that number less 4. is represented as:
Thus, the complete expression is:
Subtracting 3x from both sides of the inequality:
Subtracting 10 from both sides of the inequality:
Equal signs are added and the same sign is placed:
We multiply by -1 on both sides, taking into account that the sense of inequality changes:
The solution is given by all values of "x" less than 14.
Answer: