Answer:
Step-by-step explanation:
Suppose the dimensions of the playground are x and y.
The total amount of the fence used is given and it is 780 ft. In terms of x and y this would be 3x+2y=780 (we add 3x because we want it to be cut in the middle). Therefore, y= 780/2-3/2x. Now, the total area (A )to be fenced is
A=x*y= x*(390-3/2x)=-3/2 x^2+390x
Calculating the derivative of A and setting it equals to 0 to find the maximum
A'= -3x+390=0
This yields x=130.
Therefore y=780/2-3/2*130=195
Thus, the maximum area is 130*195=25,350ft^2
Answer:

✑ Question :
- Is ( 11 , 9 ) , ( 11 , 5 ) , ( 9 , 3 ) a function ?
No , it's not a function.
✎ Reason :
This is not a function because one element 11 of set A is associated to elements 9 and 5 of set B.
♨ Explore about function :
↪ Function is a special type of relation. It is the refinement of relation. In a relation from A to B , every element of set A should have only one ( distinct ) image in B to be a function. In other words , if no two different ordered pairs have the same first component , then it is a function.
Hope I helped!
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Answer:
x = 4
Step-by-step explanation:
(6x - 3)° = (2x + 13)° are vertical angles that equal each other get x by itself and solve for x.
(6x - 3)° = (2x + 13)°
6x - 2x = 13 + 3
4x = 16
x = 4
Substitute x for the angles.
(6x - 3)° = ?
(6*4 - 3)° = ?
(24 - 3)° = 21°
(2x + 13)° = ?
(2*4 + 13)° = ?
(8 + 13)° = 21°
Just by simply adding the two quantities you can get the net change. $67.12 +(addition sign because we want the net change) $2.56= $69.68. The last number is the net change!
1. X = 14
2. X = 120
3. X = 9.24
4. X = 16
5. X = 193.6
6. X = 11
7. X = 7.8
8. X = 446.4
9. X = 26.25
10. X = 6.6
11. X = 9
12. X = 2.01