The table shows the results of (p ^ q) and results of (p ^ r) for all possible outcomes. We have to tell which of the outcomes of union of both these events will always be true.
(p ^ q) V (p ^ r) means Union of (p ^ q) and (p ^ r). The property of Union of two sets/events is that it will be true if either one of the event or both the events are true i.e. there must be atleast one True(T) to make the Union of two sets to be True.
So, (p ^ q) V (p ^ r) will be TRUE, if either one of (p ^ q) and (p ^ r) or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.
Therefore, the answer to this question is option 2nd
Answer:
B.-2x = 6
Step-by-step explanation:
3x - 4 = 5x + 2
3x-5x = 2+4
-2x=6
Y = -2x + 5 y =3x - 2
Since both equations are equal to 'y' you can set them equal to each other to solve.
-2x + 5 = 3x - 2 Subtract 3x from both sides
-5x + 5 = -2 Subtract 5 from both sides
-5x = -7 Divide -5 on both sides
x = 7/5
Plug 7/5 back in for x and solve for y.
y = -2(7/5) + 5
y = (-14/5) + (25/5)
y = 11/5
(7/5, 11/5) OR (1.4, 2.2)
Answer:
The X and Y intercepts to the equation -3x - 7y = 84 is
x-intercept (s): (−28,0)
y-intercept (s): (0,−12)
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x
−3x−7⋅0=84
Solve the equation.
x=−28
x-intercept(s) in point form.
x-intercept (s): (−28,0)
To find the y-intercept(s), substitute in 0 for x and solve for y .
−3⋅0−7y=84
Solve the equation.
y=−12
y-intercept(s) in point form.
y-intercept (s): (0,−12)
Hope this helps.
Answer:
26; the cheetah's rate in miles per hour
Step-by-step explanation:
