This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Hope it helps, despite being this long!
For this case we have the following expression:
The terms are not similar, so they cannot be added.
<em>Examples of similar terms:</em>
Then, the expression given can only be rewritten as:
This is taking common factor 2 to both terms.
Answer:
Answer:
x=-12
Step-by-step explanation:
You're trying to solve for x. So, to get x by itself, you need to divide by 9 on both sides and when you divide -108 by 9, you end up with x equaling -12.
-108/9=-12
x=-12
Okay so for the first one all you have to do is divide 4.90 by 2.5 and get 1.96. So your answer for the first on is $1.96.
For the second one you just have to divide 416 by 13 and you get 32. So each friend gets 32 crayons.
Hope this helped you (;