The actual distance between the cities is 50 miles
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.
Answer:
2 and - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 6x + 9 ( divide all terms by 3 )
y = 2x + 3 ← in slope- intercept form
with slope m = 2
(i)
Parallel lines have equal slopes, thus
the slope of line t is 2
(ii)
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - , thus
the slope of line r is -
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
The given graphs model exponential functions are a, b and c.
Option a, b and c are the correct answers.
To choose the graph.
<h3>What is exponential function?</h3>
A relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
Given that:
The three graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
Therefore, the given graphs a, b and c are the correct answers.
Learn more about exponential function here:
brainly.com/question/28189362
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