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kiruha [24]
3 years ago
10

The cost per pound is described as the unit price. If 2 lbs of meat cost $4.88, what is the unit price for (cost for 1 lb of mea

t)?
Enter your answer as a decimal with two decimal places.
Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
The unit Price is $2.44 per pound
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How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t
Zarrin [17]

By first principles, the derivative is

\displaystyle\lim_{h\to0}\frac{(x+h)^n-x^n}h

Use the binomial theorem to expand the numerator:

(x+h)^n=\displaystyle\sum_{i=0}^n\binom nix^{n-i}h^i=\binom n0x^n+\binom n1x^{n-1}h+\cdots+\binom nnh^n

(x+h)^n=x^n+nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

The first term is eliminated, and the limit is

\displaystyle\lim_{h\to0}\frac{nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n}h

A power of h in every term of the numerator cancels with h in the denominator:

\displaystyle\lim_{h\to0}\left(nx^{n-1}+\dfrac{n(n-1)}2x^{n-2}h+\cdots+nxh^{n-2}+h^{n-1}\right)

Finally, each term containing h approaches 0 as h\to0, and the derivative is

y=x^n\implies y'=nx^{n-1}

4 0
3 years ago
in the diagram, a building casts a 35-ft shadow and a flagpole casts a 10-ft shadow. if the flagpole is 22tall, how tall is the
8_murik_8 [283]

Let, the height of the building be x ft.

Given the building casts 35ft shadow.

The height of the flagpole given which is 22ft and casts a shadow of 10ft.

Now to find the height of the building we have to equate the ratio of height and shadow of the building and the flagpole.

So we can write,

x/35 = 22/10

To find x, we have to get rid of 35 from the left side and have to move it to right side. As 35 is divided there, we will multiply 35 to both sides.

(x/35)× 35 = (22/10)×35

x = (22×35)/10

x = 770/10

x = 77

So, the height of the building is 77 ft which is the required answer here.

8 0
3 years ago
 which equation represents the function in the table?
Snowcat [4.5K]

Answer:

D

Step-by-step explanation:

Substitute the value of x in each function and check if it's equal to it's corresponding value of y.

Correct me if I'm wrong. I hope it helps.

8 0
3 years ago
What is sum of -3x^2 - 7x + 9 and - 5x^2 + 6x - 4 ​
valkas [14]
-8x2-x +5 hope this helps
8 0
2 years ago
PLS HELPP ITS URGENT
WITCHER [35]

Answer:

Step-by-step explanation:

The angles between the parallel sides add up to 180 degrees.

So 180-70 = 110 degrees.

8 0
2 years ago
Read 2 more answers
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