Answer:
A function is a relation in which no two ordered pairs have the same first element. A function associates each element in its domain with one and only one element in its range. Solution: a) A = {(1, 2), (2, 3), (3, 4), (4, 5)} is a function because all the first elements are different.
Step-by-step explanation:
When the daughter cells split or divide from the parent cell, it is called cytokinesis. :)
Yes, these both are direct relationships and can be written like
, where k is the constant of variation.
For the first equation, k = 10. For the second equation, k = -4/3. You find it by rearranging the equation into the form
, and you use the coefficient of x for k.
Answer:
9/5
Step-by-step explanation:
The slope between the two points can be found by ...
m = (y2 -y1)/(x2 -x1)
m = (-16-2)/(-10-0) = -18/-10
m = 9/5
The slope of the line is 9/5. Perhaps this is a match to choice A.
Answer:
a = 7 and b = - 18
Step-by-step explanation:
If (x - 1) is a factor of f(x) then x = 1 is a root and f(1) = 0, thus
f(1) = 1³ + 10(1)² + a + b = 0 and
1 + 10 + a + b = 0 ⇒ a + b = - 11 → (1)
Similarly if
(x + 2) is a factor then x = - 2 is a root and f(- 2) = 0
f(- 2) = (- 2)³ + 10(- 2)² - 2a + b = 0, thus
- 8 + 40 - 2a + b = 0 ⇒ - 2a + b = - 32 → (2)
Solve (1) and (2) simultaneously
Subtract (1) from (2)
- 3a = - 21 ( divide both sides by 3)
a = 7
Substitute a = 7 in (1)
7 + b = - 11 ⇒ b = - 11 - 7 = - 18
The required polynomial is
f(x) = x³ + 10x² + 7x - 18
