Answer:
3. [1, −2]
2. [−3, 3]
1. [−7, 10]
Step-by-step explanation:
3.
{7⁄2x - ½y = 9⁄2
{3x - y = 5
-6⁄7[7⁄2x - ½y = 9⁄2]
{−3x + 3⁄7y = −3 6⁄7 >> New Equation
{3x - y = 5
_________________
-4⁄7y = 1 1⁄7
-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x
__________________________________________________________
2.
{−3x + 9y = 36
{4x + 12y = 24
¾[4x + 12y = 24]
{−3x + 9y = 36
{3x + 9y = 18
______________
18y = 54
___ ___
18 18
y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x
__________________________________________________________
1.
{4x − y = −38
{x + y = 3
_____________
5x = -35
___ ____
5 5
x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y
I am joyous to assist you anytime.
Answer:
see the prime factors
Step-by-step explanation:
24= 6*4=3*2*2*2
=2*3*4
Given that o<span>ne Friday night,
Roman and Malou are busy studying for their Logic exam. Meanwhile,
Hadji just tweeted a picture of himself eating crispy pata and sisig.
Jeff is sound asleep in his dorm room.
Part A:
The truth value of </span>"Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is obtained as follows:
From the scenario, the truth value of the individual statements are as follows:
<span>Roman has a date with Malou is True
</span>
<span>Jeff is sleeping is True
</span>
<span>Hadji is eating is True
Thus, the truth value of "True" or "True" or "True" is True.
Therefore, the truth value of "</span><span>Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is True.
Part B:
</span>The truth value of "Either Jeff is sleeping or Hadji is not eating" is obtained as follows:
From the scenario, the truth value of the individual statements are as follows:
<span>Jeff is sleeping is True
</span>
<span>Hadji is not eating is False
Thus, the truth value of "True" or "False" is True.</span>
Therefore, the truth value of "Either Jeff is sleeping or Hadji is not eating" is True.
Part C:
The truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is obtained as follows:
From the scenario, the truth value of the individual statements are as follows:
Roman and Malou are on a date is True
<span>Jeff is sleeping is True
</span>
<span>Hadji is not eating is False
The truth value of "True" and "True" is True.
The truth value of "True" or "False" is True.
Thus, the truth value of ("True" and "True") or "False" is True.
</span>
Therefore, the truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is True.
The x value is the domain
