Answer:
f(x) = x³ + x² - 5x + 3
Step-by-step explanation:
The cubic polynomial has zeros at 1, 1, - 3.
Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.
Hence, we can write the polynomial as a function of x as
f(x) = (x - 1)(x - 1)(x + 3)
⇒ f(x) = (x² - 2x + 1)(x + 3)
⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3
⇒ f(x) = x³ + x² - 5x + 3
So, this is the cubic polynomial function in standard form. (Answer)
Answer:
====================
Total number of outcomes is 16, count of all outcomes.
Number of outcomes with 3 or more tiles is 5:
- HTTT, THTT, TTHT, TTTH, TTTT
The probability is:
- P = favorable outcomes / total outcomes
- P(at least 3 tails) = 5/16 = 0.3125
Correct choice is D.
A. Yes
B. Because the three inside angles of both triangles would be identical.
C. Set up a ratio:
121/22 = AB/30
Solve for AB:
AB = (121 * 30) / 22
AB = 3630 / 22
AB = 165 ft.
Answer:
$100.11
Step-by-step explanation:
6.5% = 0.065
94 * 0.065 = 6.11
94 + 6.11 = $100.11
