Answer:
{ 1,2,3,4}
Step-by-step explanation:
The domain of a function is all the inputs
The inputs are { 1,2,3,4}
The domain is { 1,2,3,4}
Answer:
x=3
Step-by-step explanation:
if the equation is 2x=6 then you'd do 6/2 and 2x/2 to cancel out the 2 and get x=3
Answer:
Formula to find height when given diameter and slanted height

First find the radius
24÷2=12
Next square the radius
12²=144
Next square the slanted height
20²=400
Now find the square root of both

=16ft
Answer:
Height: 3/2 inches
Length: 12 inches
Width: 4 inches
Step-by-step explanation:
Let x is the side length of the square
The height of the box by cutting squares off :x
- The new length of the cardboard = 15 -2x (because we cut from 4 corners)
- The new width of the cardboard = 7 -2x (because we cut from 4 corners)
The new volume of it is:
V = (15 -2x) (7 -2x) x
<=> V =
To maximum volume, we use the first derivative of the volume
<=> 
<=> 
<=> 2x -3 = 0 or 6x -35 = 0
<=> x = 3/2 or x = 35/6
To determine which value of x gives a maximum, we evaluate
= 24x -88
= 24(3/2) -88 = -52
= 24(35/6) -88 = 52
We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.
So the dimensions (in inches) of the box is:
Height: 3/2 inches
Length: 15-2(3/2) = 12 inches
Width: 7 - 2(3/2) = 4 inches