Answer:
Step-by-step explanation:
From the given information:
Since three sides of the garden need to be enclosed because the fourth side is a building.
The area is xy and the perimeter will be x + 2y
Calculating the perimeter in terms of x; we have:
P = x+2y = 232 ----- (21)
y = (232 - x) / 2
y = 116 - (x/2)
Now; to calculate the area since the value of y in terms of x is known.
A = xy
A = x[116 - (x/2)]
A=116x - (x^2/2) ----- (2)
Taking the derivative of eqaution (2); we have:
A' = 116 - x
Relating it as it is equal to zero, thereby solving for x
; we have:
116 - x = 0
x = 116
From equation (1)
P = 116 +2y = 232
2y = 232 -116
2y = 116
y = 116/2
y = 58
Thus; the area A = xy can be calculated as:
A=xy
A=116(58)
A= 6728
Ok
First factor out the first 2 terms as follows:-
y = 1/2(x^2 - 8x) + 21
Now complete the square on x^2 - 8x:-
y = 1/2[ (x - 4)^2 - 16] + 21
y = 1/2(x - 4)^2 - 8 + 21
y = 1/2(x - 4)^2 + 13 Answer
It should be to the right by 2 and up by 2 i’m not to sure tho :/
Every fraction is a division problem!!
5/8 - you see that line there? It means to divide.
So knowing that 5/8= .625 can help you turn 4 5/8 into a non fraction number really quick
It's simply 4+ 5/8 (which we know is .625)
So it is 4.625!!
4.625=4 5/8
9514 1404 393
Answer:
$890.52
Step-by-step explanation:
The pay for each hour of overtime is ...
1.5 × $19.68 = $29.52
The tech worked 40 hours at $19.68 per hour, plus an additional 3.5 hours at $29.52 per hour. His gross pay is ...
40 × $19.68 +3.5 × 29.52
= $787.20 +103.32 = $890.52
His gross pay for the week is $890.52.
