f(x) + g(x) = 3x³ + 8x - 24
that is 3x³ + 7x - 26 + x + 2 = 3x³ + 8x - 24
Answer: 160.
Step-by-step explanation:
Use the formula V=whl to find the volume of a rectangular prism. 4x5x8= 160.
Answer:
-3q
Step-by-step explanation:
-q is actually -1q so you just divide 3 by -1 and get -3q
Answer:
x = 20 * s / 300
Step-by-step explanation:
In this case, it is solved by means of a rule of three, that is, we know that 20 of 300 answered yes, but in the case of the strata sample, since it is a value that is not mentioned in the problem, we will assume it as " s "and the people who were selected as" x ". would:
20 x
300 s
Therefore, x:
x = 20 * s / 300
and thus they would give us the number of people that would be selected.
For example, if "s" were 240, it would be:
x = 20 * 240/300
x = 16
that is, 16 people would be selected
Answer:
x³ - 5x² + 81x - 405 = 0
Step-by-step explanation:
Complex roots occur in conjugate pairs.
Thus given x = - 9i is a root then x = 9i is also a root
The factors are then (x - 5), (x - 9i) and (x + 9i)
The polynomial is the the product of the roots, that is
f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors
= (x - 5)(x² - 81i²) → note i² = - 1
= (x - 5)(x² + 81) ← distribute
= x³ + 81x - 5x² - 405, thus
x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation
