Answer:
Refer to the diagram in the attachment.
Step-by-step explanation:
There are two events here: the first one is the number on the cube. The second one is the outcome of the coin toss. This tree should contain two columns, one for each event.
Start with the first column. Let be the outcome of the number cube. There are six possible values:
. That corresponds to six branches, one for each outcome.
Continue to the second column. Let be the outcome of the coin toss. No matter which number was obtained for
, there would always be two possible outcomes for
Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2