Answer:
= 15x +30y -220
Step-by-step explanation:
We can easily get another expression if we multiply each individual term, and
add together the result
30(1/2x-2)+40(3/4y-4)
= 15x-60 +30y-160
= 15x +30y -220
See attached picture below
What is equivalent to the following expression 2x + 3x + 4 (x-2)
2 answers:
You might be interested in
Answer:
1
Step-by-step explanation:
The average rate of change is measured as
in the closed interval [ a, b ]
here [ a, b ] = [ - 5, 5 ]
f(b) = f(5) = - 5² + 5 + 3 = - 25 + 8 = - 17
f(a) = f(- 5) = -(- 5)² - 5 + 3 = - 25 - 2 = - 27
Hence
average rate of change = =
= 1
Answer:
(a)Therefore the volume of the box is 361.19 cubic ft.
(b)Therefore the volume of the box is 361.19 cubic ft.
Step-by-step explanation:
Given that,
Squares with sides length x are cut out from of each corner of a rectangular piece of cardboard measuring 23 ft and 13 ft.
Now the length of the box is =(23-2x) ft
The width of the box is =(13-2x) ft
The height of the box is= x
The volume of the box is = Length×width×Height
=(23-2x)(13-2x)x cubic ft
= 299x-72x²+4x³ cubic ft
Let,
V=299x-72x²+4x³
Differentiating with respect to x
V'= 299-144x+12x²
Again differentiating with respect to x
V''= -144+24x
To find the maximum volume, we set V'=0
∴299-144x+12x²=0
Applying quadratic formula , here a=12,b= -144 and c=299
For x= 9.33 , the width of the box will negative which is impossible.
So, x= 2.67
So, at x=2.67, the volume of the box will be maximum.
Therefore the volume of the box is
=(299x-72x²+4x³) cubic ft
=361.19 cubic ft
(b)
The value of s will same with the value of x
so the volume of the box also remains same.
Therefore the volume of the box is 361.19 cubic ft