Answer:
The volume is: 
cubic units
Step-by-step explanation:
Volume of a solid:
The volume of a solid, given by the function f(x), over an interval between a and b, is given by:
y = x, y =1, x = 0
This means that the upper function is y = 1, and the lower function is y = x. So
The lower limit of integration is x = 0.
The upper limit is y = x when y = 1, so x = 1.
Then
Answer:
the price is 250
Step-by-step explanation:
let cp be x.
the marked price is 116x/100=1.16x.
25x/100=6250/100
x=250
Answers:
So the solution is (x,y) = (4, -1)
=============================================================
Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
------------------------
To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
If you rotated the box 90º, the orrientation would not be the same, so it is not D or B.
After rotating 180º, the box will be in the 1st quadrant. If it moved along the x-axis, it wouldnt be there anymore, and the after-picture shows it in the first quadrant still, so the only answer it can be is C.
