Supporting claim :
75% of 100 = 0.75 * 100 = 75
50% of 100 = 0.50 * 100 = 50
0.75(100) > 0.50(100) <== ur inequality
counter claim :
75% of -100 = 0.75 * -100 = -75
50% of -100 = 0.50 * -100 = -50
0.75(-100) < 0.50(-100) <== ur inequality
9514 1404 393
Answer:
a) 4
b) 3
Step-by-step explanation:
a. The total number of real and complex zeros is equal to the degree of the polynomial. That total is (1 negative real) + (3 positive real/complex) = 4 total zeros. The degree of the polynomial is 4.
The even degree is confirmed by the answer to part b, and by the end-behavior shown in the table, which has a tendency to -∞ for |x|→∞.
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b. The intermediate value theorem tells you there will be zeros in the intervals (0, 1), (1, 2), and (2, 3) according to the values in the table. (The function changes sign in those intervals.) Thus there are 3 positive real zeros.
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<em>Additional comment</em>
Stanley cannot tell anything about Descartes' rule of signs by analyzing the table of function values. To use that rule, he must have terms of the polynomial. If he has those terms, he already knows the degree of the polynomial.
Using derivatives, it is found that the best estimate of f '(2) based on this table of values is of 10.
The rate of change <u>from x = 0 to x = 2</u> is given by:
From <u>x = 2 to x = 4</u>, it is given by:
The average of these rates is:
Hence, the best estimate of f '(2) based on this table of values is of 10.
To learn more about derivatives, brainly.com/question/18590720
If we let x be his hourly rate, his basic pay is equal to 20x. The equation that would best described the given above is expressed as,
20x + (1500 - 20x)(0.16) = 1500
The value of x from the equation is 75. Therefore, Piper's hourly rate is $75.
