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.
Answer:
x + 2
Step-by-step explanation:
If we know one of the factors, we should be able to use long division.
We can divide the trinomial by the binomial and find the other factor.
<u>x + 2</u><u> </u>
x² + 4x + 3)x³ + 6x² + 11x + 6
<u>x³ + 4x² + 3x</u>
2x² + 8x + 6
<u>2x² + 8x + 6</u>
0
Thus,
You take away the 4 from the 8 which is equal to 4 then you have to barrow from the 2 to make the 4 to 14 and when you wait you are basically right your calculation is right
Answer:
4.5 minutes
Step-by-step explanation:
first convert 3/4 to a decimal so you can multiply it which would be .75
so then .75 times 6=
4.5
Answer:
4x+5y-34=0
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.
My goal is to put in in this form first. Then I will aim to put it in general form, ax+by+c=0.
So let's give it a go:
m is the change of y over the change of x.
To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference. Like this:
( 1 , 6)
-(6 , 2)
----------
-5 4
So the slope is 4/-5 or -4/5.
So m=-4/5.
Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].
6=-4/5 (1)+b
6=-4/5 +b
Add 4/5 on both sides:
6+4/5=b
30/5+4/5=b
34/5=b
So the y-intercept is 34/5.
The equation in slope-intercept form is:
y=-4/5 x + 34/5.
In general form, it is sometimes the goal to make all of your coefficients integers so let's do that. To get rid of the fractions, I'm going to multiply both sides by 5. This clears the 5's that were on bottom since 5/5=1.
5y=-4x+34
Now add 4x on both sides:
4x+5y=34 This is standard form.
Subtract 34 on both sides:
4x+5y-34=0
