Uh, I don't really understand Part 1.
Part B: 5% of the survey respondents did not like either beef or chicken.
Part C: The survey results show a greater dislike of beef. 20 people dislike beef but like chicken. 15 people like beef, but not chicken.
5 don't like both.
See the image above for explanation.
All done!
Solved!
:-)
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:
27/35
Step-by-step explanation:
(f/g)(5) means f(5)/g(5).
So we will need to find both f(5) and g(5).
f(5) means replace x with 5 in f. This gives us 7+4×5.
Let's simplify 7+4×5:
7+4×5
7+20
27.
g(5) means replace x with 5 in g. This gives us 7×5.
Simplifying 7×5 gives us 35.
(f/g)(5)=f(5)/g(5)=27/35.
Answer:
11.25
Step-by-step explanation:
19*5=95 43*10=430