Answer:
The function f(x) = IxI works as follows:
if x ≤ 0, then IxI = -x
if x ≥ 0, then IxI = x
notice that if x = 0, then I0I = 0 = -0
Now, we want that:
IxI = x
Then we have that x must be greater or equal than zero:
x ≥ 0.
To represent it in the number line, you should use a black dot in the zero an shade all the right region:
__-2__-1__0__1__2__3__4__5__6__....
The unit for area is unit^2. You area for a rectangle is one of the easiest formula in math. A = LW
There’s a few ways to do this. But you essentially want to find the area for each rectangle and add them together.
We can do the two rectangles on the left, bedroom 1 and 3, by doing 3.5 x (4.25+3.75) = 31.5 in^2
Now do bedroom 2, we have to do 7.5 - 3.5 to get the width of the room since it wasn’t given directly. The width is 4 and we have the length of 3.5. Do 4 x 3.5 to get 14 in^2
31.5 + 14 = 45.5 in^2
We’re not done yet because they want it in ft^2 and we’re given 1 inch = 4 feet
Just do 45.5 x 4 to get 182 ft^2
Let
, so that
and
. The integral is then equivalent to
So,
All we have to do is multiply the amount of water Andy carried by the fractional amount he drank.
1/2 * 2/3
This is pretty simple. To halve TWO-thirds, just halve the numerator, since it's such a nice number.
Presto. Half of two is one.
Therefore,
1/2 * 2/3 = 1/3
Andy drank 1/3 gallons of water on his hike. That's 5 1/3 cups of water. I would estimate his hike to be about 3 miles. Easy peasy.
