Your work appears to be correct.
The results from a graphing calculator are in agreement.
Answer:
[-1,3]
Step-by-step explanation:
|2x|<x+3
calculate the absolute value
2*|x|<x+3
move < to left
2*|x|-x<3
split into possible cases
2x-x<3, x<0
2*(-x)-x<3, x<0
solve inequalities
[0,3]
[-1,0]
find union
[-1,3]
Answer:
<u>First question answer:</u> The limit is 69
<u>Second question answer:</u> The limit is 5
Step-by-step explanation:
For the first limit, plug in
in the expression
, that's the answer for linear equations and limits.
So we have:

The answer is 69
For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value
into the simplified expression to get the correct answer. Shown below:

<em>Now putting 1 in
gives us the limit:</em>

So the answer is 5
8 1/2 or 8.5 x11 = 93.5 square inches thus,
1000 square inches divided by 93.5 square inches
1000/93.5 ~10.695
that mean that Jodi can cut out about 10 pieces of paper measuring 8 1/2 x 11 inches.
Answer:
x=4
Step-by-step explanation:
4x - 3 = 2x + 5
4x - 2x = 5 + 3
2x = 8
x = 8/2
x = 4