Answer:
24 x 4 = k x 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²
Answer:
-2a³+9a²+45a+6ab²+18b²
Step-by-step explanation:
(a+3)(-2a²+15a+6b²)
Distribute the a:
-2a³+15a²+6ab²
Then distribute the 3:
-6a²+45a+18b²
Now add both of the results together:
-2a³+15a²+6ab²-6a²+45a+18b²
Combine like terms:
-2a³+9a²+45a+6ab²+18b²
Answer:
3/4 or 9/12
Step-by-step explanation:
Since there are 12 movies in total. The possible chance of picking a drama movie is a 1 out of 4 chance (3/12 = 1/4), the possible of picking a movie without a drama is a 3 out of 4 chance (9/12 = 3/4)
12/12 - 3/12 = 9/12 = 3/4
