7-3 additional practice multiplying special cases envision algebra 1

The pair two numbers whose difference is 14 and the product is as small as possible (i.e. -49) are (-7,7)

In mathematical concepts, word problems involve a crucial understanding of the problem and knowing which mathematical method and arithmetic operations are best suited to solving the problem.

If we assume that the smaller number should be = a and the larger number = a + 14.

Thus, their product (X) can be expressed as:

= a(a+14)

= a² + 14a

The smallest possible value implies the minimum value, i.e.

[tex]\mathbf{\dfrac{dX}{da} = 2a + 14}[/tex]

Thus,

2a + 14 = 0

a = - 14/2

a = -7

Therefore, we can conclude that the pair of two numbers whose difference is 14 and the product is as small as possible (i.e. -49) is (-7,7).

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Rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.

It is an approach that considers that behavioral and emotional problems could have their genesis from three sources: thought, emotional and behavioral.

This affirmed that people are largely responsible for their disturbed feelings, therefore, those same people have all the resources to be able to modify their thoughts and bring lasting and stable states to their lives.

Therefore, we can conclude that rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.

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The l’hospital’s rule states that when the limit of f(x)/g(x) is intermediate, it can be obtained by evaluating the limit of the quotient of the derivatives of f and g.

Your information is incomplete as the figures aren't given. Therefore an overview will be given.

It should be noted that l’hospital’s rule simply tells us that we've an intermediate value.

In this case, the l’hospital’s rule states that when the limit of f(x)/g(x) is intermediate, it can be obtained by evaluating the limit of the quotient of the derivatives of f and g. When the result is intermediate, the process can be repeated.

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Answer:

Habla

Explanation:

Habla means to speak.

Answer:

which day will you select?:-)

Answer:

Can you post a picture or sum

Explanation:

Answer:

20 marbles

Explanation:

6 red marbles

4 blue marbles

7 green marbles

3 yellow marbles

A circle is circumscribed about a polygon if the polygon's vertices are on the circle. For triangles, the center of this circle is the circumcenter. A circle is inscribed a polygon if the sides of the polygon are tangential to the circle. For triangles, the center of this circle is the incenter.  

hope this helps

The number of clocks that are not defective is an illustration of proportions

Of the 10000 clocks, 9250 are probably not defective

From the complete question, we have the following parameter:

15 out of 200 clocks are defective

The above means that the number of clocks that are not defective is:

Not defective = 200 - 15

Not defective = 185

Express as percentage

Not defective = 185/200

Not defective = 92.5%

In 10,000 the number of clocks that are not defective would be:

Not defective = 92.5% * 10000

Not defective = 9250

Hence, 9250 of the 10000 clocks are probably not defective

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Answer:

Proving inequalities, you often have to introduce one or more additional terms that fall between the two you're already looking at. This often means taking away or adding something, such that a third term slides in. Always check your textbook for inequalities you're supposed to know and see if any of them seem useful.

An inability to report that the two (2) rows in set B contain the same number of dots by Rebecca reflects a lack of conservation.

Cognitive development refers to the development of learning skills, thought processes, knowledge and problem-solving abilities in living organisms such as humans, especially from infancy through adulthood.

In Psychology, conservation can be defined as a logical thinking ability that allows a living organism to understand that physical quantities such as lines, doesn't change in amount even when their appearance are altered.

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Answer: Her return on investment is 20%

2. $40,000

Explanation:

The effect of norepinephrine binding to beta 2 adrenergic receptors lead to vasodilation.

Vasodilation can be defined as the process in which the blood vessels enlarges because the blood vessel is inactive.

Vasolidation can occur due to the following:

Therefore when the norepinephrine is binding the blood vessels lead to what is called vasodilation.

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An example of 8-1  financial algebra question is in stock market, what does the term Perspiration implies.

The term perspirations connote sweating or hard work.

The term Financial Algebra is known to be a type of course that is designed for student so as to have a good foundation in logical thinking and problem solving that will help them to make good decisions regarding  money and finance.

The term perspirations connote sweating or hard work and as such, using the stock market definition, it implies that one being a genius is not just all about having good ideas, but it entails working hard and also having good idea along with it.

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The length of each of the sides of the rhombus is 15.

This question is incomplete, the complete question is:

The length of the diagonals of a rhombus are 18 and 24. Find the length of each side of the rhombus

Given the data in the question;

A Rhombus is simply a quadrilateral whose four sides are all equal in   length i.e its an equilateral quadrilateral.

Now, to determine the length of each sides of the rhombus, we create ab expression from Pythagoras theorem:

[tex]a = \frac{\sqrt{p^2+q^2} }{2}[/tex]

Where a is the length of the sides and pq are the diagonals.

We substitute our given values into the expression above.

[tex]a = \frac{\sqrt{p^2 + q^2} }{2} \\\\a = \frac{\sqrt{18^2 + 24^2} }{2}\\ \\a = \frac{\sqrt{324 + 576} }{2}\\ \\a = \frac{\sqrt{900} }{2}\\ \\a = \frac{30}{2}\\ \\a = 15[/tex]

Therefore, the length of each of the sides of the rhombus is 15.

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Answer:

The person will have a higher risk for atherosclerosis regardless of his current or past lifestyle choices.

Explanation:

The person will have a higher risk for atherosclerosis regardless of his current or past lifestyle choices.

The phrase "lifestyle choices" is presumably something you've previously heard of before I said it a minute ago. A lifestyle decision is a conscious, individual decision to engage in a behaviour that may raise or lower the risk of illness or damage.

You have undoubtedly already chosen your lifestyle. You made a wise lifestyle decision to improve your physical health if you ride your bicycle for exercise every morning.

If you decide against drinking alcohol, you are making a decision to forgo potentially dangerous outcomes like a  driving accident or internal organ damage, such as liver disease.

Therefore, The person will have a higher risk for atherosclerosis regardless of his current or past lifestyle choices.

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The number of ways to assign three jobs to five employees if each employee can be given more than one job is 125 ways.

The term means the  act of giving any duty or any assignment to a person, People are often assign to different jobs in the office.

Note that there are 3 jobs and 5 employees. So the equation will be

5³ =125

So, therefore, there are 125 ways to assign the job.

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Answer:

Unless a risk of collision does not exist, an operator who hears the fog signal of another vessel ahead, is in a close-quarters situation with another vessel ahead, or detects the presence of another vessel by radar must reduce speed to the minimum at which the vessel can be kept on course.

[tex]log(x - 1) + 2[/tex]

[tex]x - 1 > 0[/tex]

[tex]x > 1[/tex]

[tex]1 < x < \infty [/tex]

[tex] - \infty < f(x) < \infty [/tex]

The Richter scale measures the largest wiggle (amplitude) on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently reports earthquake magnitudes using the Moment Magnitude scale, though many other magnitudes are calculated for research and comparison purposes.

Answer:

c=2pir and A=2pir its answer i think so

The stopping Distance of the Car with the given parameters is; 17.43 m

We are given;

mass; m = 1 000 kg

speed; u = 16.7 m/s

Frictional force; F = 8000 N

distance, s  = ?

final velocity = 0 m/s (car stops)

Formula for final velocity is;

v² = u² + 2as

but a = negative (deceleration)

And F = ma

Thus;

a = F/m = 8000/1000

a = 8 m/s²

Thus;

0 = (16.7)² - 2(8)(s)

278.89 = 16s

s  = 17.43 m

Stopping distance = 17.43 m

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It is true that a project whose positive exceeds its negative is more likely to be enacted than one that is the opposite.

A project is defined as a sequence of tasks that must be completed to attain a certain outcome. The aim of any project should be to infuse positivity and valuable contributions to society.

If the pros of a project exceed its cons, it will most likely be accepted and utilized because of the usefulness it serves.

Hence, it is true that a project whose positive exceeds its negative will be more likely to be enacted.

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Answer:

Lamarckism, a theory of evolution based on the principle that physical changes in organisms during their lifetime—such as greater development of an organ or a part through increased use—could be transmitted to their offspring.

Her boss has also told her to use meditation as it can help her practice self-affirmations.

The term  Self-affirmation is known to be some kind of words or that which helps and boasts a person's morale to think positively about the the key things in their life.

It is one that  encourages people to think the right things about the the key areas of things in their life, such as family, career, or hobbies.

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The algebra shows that the line ax + y + c is perpendicular to the line x - by = d, then a/b = 1.

Firstly, write the equations of line in the slope intercept form. The equation ax + y = can be rewritten as y = ax + c. The slope of the line is m = a.

The equation x - by = d can be written as y = 1/bx - d/b. Therefore, the second slope will be 1/b.

Then, we multiply the slopes. Therefore, (-a)(1/b) = -1.

In conclusion, a/b = 1.

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Jenkins' farm tracks the procedure p(t)=3000tt+1. where t≥0 is the period (in months) since the start of the year.

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

We have,

Given formula: p(t) = 300t / (t + 1)

As time (t) increases, the denominator (t + 1) also increases.

The rabbit population (p(t)) is calculated by dividing 300t by (t + 1).

Now, let's examine the behaviour as t becomes larger:

When t is very small (close to 0), the population p(t) is also small, since the denominator (t + 1) is close to 1.

As t increases, the denominator (t + 1) grows, causing the value of p(t) to increase.

However, the rate of increase slows down as t gets larger.

This is because the denominator grows faster than the numerator (300t).

Eventually, as t becomes very large, the value of p(t) approaches but never quite reaches a maximum value.

This behaviour is characteristic of a rational function where the numerator's growth is outpaced by the denominator's growth, resulting in an asymptotic approach to a certain value.

Thus,

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

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The complete question:

Population Growth Suppose that the rabbit population on Mr. Jenkins’ farm follows the formula p(t) = 300t / (t + 1)

where t ≥ 0 is the time in months since the beginning of the year.

(a) Draw a graph of the rabbit population.

(b) What eventually happens to the rabbit populations.

Answer:

contador

Explanation:

Answer:

i seak a littl spanish so contador is correct.

Explanation: