The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²
<h3>How to find area of a rectangle?</h3>
The pen is rectangular. Therefore,
area of a rectangle = lw
where
Therefore,
perimeter = 2w + l
perimeter = 2w + x
130 = 2w + x
130 - x = 2w
w = 65 - 1/ 2 x
A = xw
A = x(65 - 1/ 2 x)
A = 65x - 1 / 2 x²
Therefore, the function that represents A, the area of the pen is as follows:
A = 130x - x²
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Answer:
GCF = 5
Step-by-step explanation:
15x² - 10x + 5
x is not contained in all 3 terms thus is not a factor
15 has factors 1, 3, 5, 15
- 10 has factors ± 1, ± 2, ± 5 , ± 10
5 has factors 1, 5
The common factors are 1, 5
Then GCF = 5
Answer:
$1 per lb
Step-by-step explanation:
If you divide the cost by the amount you are getting, then you get the unit rate. So, since 7 divided by 7.00 is 1.00, then the cost per pound is $1.00
Answer:
2.5 minutes per quesiton
Step-by-step explanation:
75 minutes to take 30 quesitons means you divide the time equally so
75/30
Answer:
(a-b) *(a-b) *(a-b)
=(a*a*a) -3*(a*a*b)+3*(a*b*b)-(b*b*b)
34000*(1-7%)*(1-7%)*(1-7%)
=34000*(1-0.07)*(1-0.07)*(1-0.07)
=34000*[(1*1*1)-3*(1*1*0.07)+3*(1*0.07*0.07)-(0.07*0.07*0.07)]
=34000*(1-0.21+0.0147-0.000343)
=34000*(0.804357)
=34*1000*(804.357/1000)
=34*804.357
=<u>27348.138</u>
<u>=</u><u>27348</u>