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MaRussiya [10]
3 years ago
6

-3(2x + 8) = A) -6x + 8 B) 6x + 24 C) -6x + 24 D) -6x - 24

Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0
3 years ago
Need to know answer please
makvit [3.9K]

Answer:

IDK

Step-by-step explanation:

Sorry

3 0
3 years ago
6000 lb/day = how many t/wk
zavuch27 [327]

Answer:

21

Step-by-step explanation:

6000lbs x 7 days = 42000lbs

42000lbs / 2000lbs = 21 tons

3 0
3 years ago
Read 2 more answers
Give the intervals where f(x) is concave up. (enter your answer using interval notation. if an answer does not exist, enter dn
Kipish [7]
Concave up is U-shaped.
There will be a inflection/critical point f'(x) =0 then a negative slope f'(x) = neg then another inflection/critical point f'(x) =0 at the bottom of the U-shape then a positive slope to last inflection/critical point. The interval for the Concave Up shape is the first and last inflection points.
6 0
3 years ago
Can anyone help with this?
4vir4ik [10]
SAS is the true answer
6 0
3 years ago
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