

Use the fact that integrals are additive on their intervals. Mathematically, if
, then

So we have

Answer:-2
Step-by-step explanation:
(n + 3) 5 = 3 x 1 - n
distribute so 5n + 15= 3 - n
subtract three from both sides
5n - 12 = -n
subtract 5n from both sides
12 = −6n
Divide both sides by -6
n=-2
2.7/3=0.9
it is less than one
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
To answer this question, we would have to use algebra.
Let the unknown number be A.
Now, as per the question, we have the equation ->
2A - 7 > 5 + A
==> 2A - A > 5+7
==> A > 12
So, the final answer is --> A > 12