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Rainbow [258]
3 years ago
10

Factoring completely

Mathematics
1 answer:
Marianna [84]3 years ago
4 0
This is called a difference of squares which always factors according to the rule for factoring the difference of squares....

(a^2+b^2)=(a+b)(a-b)  in this case:

9w^2-16 so

(3w-4)(3w+4)
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An oblique candle with a volume of 270 cubic centimeters is 18 centimeters tall. The width of the triangular candle base is 5 ce
Scorpion4ik [409]
Volume of the candle:
V = B * h ( where B is the base area and h is the height )
270 = B * 18
B = 270 : 18
B = 15 cm²
B = a * b / 2
B = 5 * b / 2
15 = 2.5 b
b = 15 : 2.5
b = 6 cm
Therefore dimensions of the box are: a = 7cm, b = 6 cm, c = 18 cm.
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4 years ago
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3 years ago
Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, as given by the following fun
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Answer:

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Step-by-step explanation:

Given that,

Consumer's willing to buy boxes of nails at p dollars per box:

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(a) Change in price from $2 to $3.

N(2) = 80 - 5(2)^{2}

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N(3) = 80 - 5(3)^{2}

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Therefore, the average rate of change of demand is

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(b) N(p) = 80 - 5p^{2}

Now, differentiating the above function with respect to p,

N'(p) = -10p

Therefore, the instantaneous rate of change of demand when the price is $2 is calculated as follows:

N'(p) = -10p

N'(2) = -10 × 2

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Answer: dang I learned this and forgot

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