Answer:
Maximum area possible
f(max) = 3906,25 ft²
Dimensions:
a = 62,5 ft
w = 62,5 ft
Step-by-step explanation:
Perimeter of the rectangular fencing P = 250 feet
And sides of the rectangle a and w (width of rectangle)
Then
A = a*w
2a + 2w = 250 ⇒ a = (250 -2w)/ 2 ⇒ a = 125 - w
f(w) = (125 - w ) *w f(w) = 125w - w²
Taking derivatives both sides of the equation
f´(w) = 125 - 2w f´(w) = 0 125 - 2w = 0
w = 125/2
w = 62,5 ft ⇒ a = 125 - 62,5
a = 62,5 ft
f(max) = ( 62,5)²
f(max) = 3906,25 ft²
Answer:
C. 48x = 32
Step-by-step explanation:
For which equations does the fraction 2/3 make the equation true? Choose all that apply
Solving
A. 35x =20
x = 20/35
x = 4/7
B. 26x=18
x = 18/26
x = 9/13
C. 48x = 32
x = 32/48
x = 2/3
D. 22x =14
x = 14/22
x = 7/11
The correct Option is Option C
Step-by-step explanation:
Given the equation:
y = 0.09x where:
- x: represents the cost of the item before tax is added.
- y: represents the amount of sales
=> On a coordinate plane, the x-axis is labeled Cost of Item (in dollars) and the y-axis is labeled sales tax (in dollars)
We create a table of values
x y
0 0
10 0.9
=> the line go through two points (0, 0) and (10, 0.9)
Hence tow dwaw a graph, we just connect two points together.
Please have a look at the attached photo.
x=3 and x= -2
Step-by-step explanation:
we could simplify it to x*2 + x -6 = 0
then 2 numbers whose sum is 1 and product is -6
the numbers are 3 and -2
