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choli [55]
3 years ago
5

Fully simplify the fraction in the photo. No links.

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

x ( x-1 )

———

5

I hope this helps, have a great day!

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Help me please please help me
Lisa [10]

9514 1404 393

Answer:

  1. C
  2. E
  3. B

Step-by-step explanation:

The idea of a "production possibilities curve" is that there is a fixed relationship between possible production of one product and possible production of another. This relationship is presumed to exist because resources used to produce one product are then unavailable to produce the other product.

The graph of the curve generally has increased production in the direction away from the origin. So, points between the curve and the origin represent production choices that do not utilize all available resources of the kind that give rise to the curve. That is, points "inside" the curve represent under-utilization of resources.

1. Point C represents under-utilization.

__

2. Points "outside" the curve are unattainable, because the curve represents production using all available resources.

  Point E is unattainable.

__

3. The assumptions behind the curve are that there must be a tradeoff between production of one item and production of another that uses the same resources. That is, increasing production of one item will necessarily decrease production of the other, representing a cost of the increased production of the first item. We call this cost an "opportunity cost", because it represents production opportunity lost with respect to the second item.

  Choice B describes this situation.

_____

<em>Additional comment</em>

The very idea of a "production possibilities curve" represents the sort of simplification that is often used in the study of economics. The real world is much messier, and these curves are always dynamic. They are affected by the regulatory environment, resource quality, technology, product quality, and availability of alternate or competing products, among other things. The very existence of such a curve precludes the possibility of "win-win" situations, which we know are generally available if they are sought after.

6 0
3 years ago
Given a polynomial f(x), if (x − 4) is a factor, what else must be true?
ollegr [7]

Answer:

f(4)=0


Step-by-step explanation:

<em>The </em><em>Remainder Theorem</em><em> states that when you divide a polynomial f(x)  by a linear factor  (x-a) , where a  is a constant, the remainder is f(x)  evaluated at x=a</em>

<em>Moreover, according to the </em><em>Factor Theorem</em><em>, an extension of the Remainder Theorem, if the remainder of the function f(x) is </em><em>0</em><em> when evaluated at x=a , then (x-a)  is said to be a factor of the polynomial f(x)</em>

Given the 2 theorems above, it follows that if (x-4)  is a factor of f(x) , then the remainder is equal to 0 when f(x) is evaluated at x=4

Which means f(4)=0

Third answer choice is correct.


3 0
3 years ago
Read 2 more answers
You have 400,000 saved for retirement.Your account earns 9% interest.How much will you be able to pull out each month,If you wan
Sunny_sXe [5.5K]

Answer:

100 POINTS PLEASE HELP FOR ALL QUESTIONS WILL REPORT IF YOU JUST TAKE THE POINTS AND NOT ANSWER THE QUESTION

Step-by-step explanation:

3 0
2 years ago
How many 1/2 cup servings are in<br> 3/4cups of yogurt? (in simplest fraction form)
attashe74 [19]

Answer:

3/2

Step-by-step explanation:

(3/4)/(1/2)=(3/4)(2/1)=6/4=3/2

4 0
3 years ago
Tritium is a radioactive isotope of hydrogen that decays by about 5% per year. A large bottle of water that contained 450,000 tr
Basile [38]

Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem:

  • The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.
  • The amount decays by about 5% per year, hence r = 0.05.

Thus, the equation is given by:

A(t) = A(0)(1 - r)^t

A(t) = 450000(1 - 0.05)^t

A(t) = 450000(0.95)^t

After 11 years, the amount is given by:

A(11) = 450000(0.95)^{11} = 255960

The bottle contains 255,960 atoms of tritium after 11 years.

More can be learned about exponential functions at brainly.com/question/25537936

8 0
2 years ago
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