Given:
Consider the given function is:
To find:
The average rate of change of the function over the interval 
.
Solution:
The average rate of change of the function f(x) over the interval [a,b] is:
We have,
At 
,
At 
,
Now, the average rate of change of the function f(x) over the interval is:
Therefore, the average rate of change of the function f(x) over the interval is -3.
(x+4)^2
Expanded it is (x+4)(x+4)
To solve you need to distribute.
So x^2 +4x +4x +16
Then combine like terms..
x^2 +8x +16
Answer: The width of the playing field = 45 ft
length of playing fiels = 86ft
Step-by-step explanation:
Step 1
Perimeter of rectangular field is given as 2 ( L+ b)
Let the width be represented as x
such that the length = 41 ft longer than the width be x+ 41
To find the length and breadth
Step 2
Perimeter = 2( L+ b)= 2l + 2b
Perimeter = 2 (x+41 ) + 2 x = 262
2x + 82 + 2x= 262
4x+ 82= 262
4x= 262 - 82
4x= 180
x= 180/4
x= 45
width= 45 ft
length = x+ 41= 45+ 41= 86ft
Answer:
b= 6/5
b = 1 1/5
Step-by-step explanation:
We can solve this using cross products
(3b-4) (b-2)
--------- = ---------
4 8
8* (3b-4) = 4*(b-2)
Distribute
24b -32 = 4b -8
Subtract 4b from each side
24b-4b -32 = 4b-4b-8
20b -32 = -8
Add 32 to each side
20b -32+32 = -8 +32
20b =24
Divide each side by 20
20b/20 = 24/20
b= 24/20
Dividing the top and bottom by 4
b = 6/5
b = 1 4/20
=1 1/5
Answer:
We are given that Joel has 24 sports trophies, of the 24 trophies there are 1/8 soccer trophies.
1/8 of 24 is 3.
24 divided by 8 = 3 soccer trophies
There are 3 soccer trophies all the rest of the trophies, which is 21 trophies, will be other sports. 21 trophies + 3 soccer trophies = 24 trophies in total
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
