Alright, so we start off my subtracting 4a from both sides, separating the x and getting 10-4a=2x. Next, we divide both sides by 2, getting that 5-2a=X
There are no decimal points, and there are 2 numbers. Therefore, the first number will be a "10s" number, and the second will be a "1s" number.
For
to be continuous at
, you need to have the limit from either side as
to be the same.
If
and
, then the limit from the right would be
, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation
.
Part (c) is done similarly to part (1). This time, you need to limits from either side as
to match. You have
So,
and
have to satisfy the relation
, or
.
Part (4) is done by solving the system of equations above for
and
. I'll leave that to you, as well as part (5) since that's just drawing your findings.
No, the height wouldn't be 70 feet, it would be 80 feet.
You would get this answer by using the equation h= A/b (h meaning height)
A = area ( or 20,000)
b= base ( or 250)
Then you divide A by b:
20,000/ 250 =
80
I hoped this helped! :)
It's 8 because the number in front of the variable is the slope, while the past 30 is the y intercept