Since the second equation gives a value for a, we can substitute it into the other equation to find a value for B.
Let's substitute b-2 into the first equation wherever there is an a.
a - 3b = 4
(b-2) - 3b = 4
b - 2 - 3b = 4
-2 - 2b = 4
-2b = 6
b = -3
Now let's find a by substituting -3 into either of the equations to find the value of a.
a = b - 2
a = -3 - 2
a = -5
So your solution set is (-5, -3)
Answer:
24 Outcomes
Step-by-step explanation:
The sample space of an event is <em>the set of all possible outcomes.</em>
A jar contains 6 marbles numbered 1 through 6
Sample Space of Selecting a Marble from the Jar =6
A standard deck contains 4 Suits
Sample Space of Selecting a Card and Observing the Suit = 4
Theorem(The Fundamental Counting Principle)
If there are “x” ways for one event to happen, and “y” ways for a second event to happen, then there are “x * y” ways for both events to happen.
Therefore the Sample Space of randomly selecting a marble from the jar, observing the number drawn, and then randomly selecting a card from a standard deck and observing the suit of the card is given as:
Sample Space of Selecting a Marble X Sample Space of Selecting a Card and observing the Suits
= 6 X 4
=24
There are 24 Outcomes in this experiment.
Answer:
remainder = 122
Step-by-step explanation:
Using the remainder theorem to evaluate the remainder
Division by x - 3 , thus evaluate f(3) for remainder
f(3) = 3³ + 14(3)² - 7(3) - 10
= 27 + 126 - 21 - 10
= 122 ← remainder
Okay so you would do 90 / 3 which would be feet / three=yards and then minus it. because 3 feet are in 1 yard