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kykrilka [37]
3 years ago
14

A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x)

Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

f(x) = 5x^2 - 40x + 64

Step-by-step explanation:

f''(x) = 10

f'(x) = 10x + a

f'(4) = 0 = 10*4 + a

a = -40

So f'(x) = 10x - 40

f(x) = 5x^2 - 40x + b

f(2) = 4 = 5*2^2 - 40*2 + b

4 = 20 - 80 + b

b = 64

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A town has a population of 13,000 and grows at 5% every year what will the population be after 11 years to the nearest whole num
scoray [572]
This question is based on the concept of
amount of interest. Therefore, 22,234 would be
the population after 11 years, to the nearest
whole number.
Given:
A town has a population of 13000 and grows at
5% every year.
We need to determined the population after 11
years, to the nearest whole number.
We know that,
Formula =A = P(1+ r)
Where, p be the population. r is the rate and t is
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P= 13000,
r= 5%
†= 11
Now put all these values in formula.
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5
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5 0
2 years ago
Sandy has 28 pencils and 72 erasers. She wants to make the greatest number of bags that have the same number of pencils and eras
aalyn [17]

Answer:

she can make a maximum of 4 bags.

peach bags containing 7 pencils and 18 erasers.

Step-by-step explanation:

find all the factors each numbers are divisible by:

28 => 1, 2, 4, 7, 14, 28

72 => 1, 2, 3, 4, 8, 9, 18, 24, 36, 72

choose the maximum common denominator.

7 0
3 years ago
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Martin has a vegetable garden that is 8 feet long and 5 feet wide. Next year, Martin wants to increase both the length and width
KatRina [158]

Answer:

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4 0
3 years ago
I think I know the answer but I just want to double check.
Levart [38]
D would be the correct answer
8 0
3 years ago
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Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?
Anna35 [415]
<h3>Answer:  Choice C) </h3><h3>The system can only be independent and consistent</h3>

===========================================================

Explanation:

Let's go through the answer choices

  • A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
  • B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
  • C) We'll get back to this later
  • D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.

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If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.

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3 years ago
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