A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.
The value of the fractions will be:
1. 8 13/20
2. 2 4/5
3. 5/6
<h3>How to explain the fraction?</h3>
1. 6 1/4 + 2 2/5
LCM of 20
6 1/4 + 2 2/5.
6 5/20 + 2 8/20
= 8 13/20
2. 1 1/5 × 2 1/3
= 6/5 × 7/3
= 42/15
= 14/5
= 2 4/5
3. 3 1/3 - 2 1/2
= 3 2/6 - 2 3/6.
= 5/6
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Answer:
210.
Step-by-step explanation:
Combination formula is

Then, we have that n = 10 and r=6:


To simplify calculus, we are going to use that n! = (n-1)!n = (n-2)!(n-1)n and so on.





Answer:
Equation of line in slope-intercept form is: y = -8x-39
Step-by-step explanation:
Given points are:
(-4, -7) and (-6, 9)
The slope-intercept form is given by the equation

Here m is the slope of the line and b is the y-intercept.
m is found using the formula

Here
(x1,y1) = (-4-7)
(x2,y2) = (-6,9)
Putting the values in the formula

Putting slope in general equation

Putting (-6,9) in the equation

Putting the value of b we get

Hence,
Equation of line in slope-intercept form is: y = -8x-39
What are the options uh??