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State the X- and Y- intercepts of each function. 4x – 6y = 12

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State the X- and Y- intercepts of each function. 4x – 6y = 12
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The graph of y=[x] is transformed as shown in the graph below. Which equation represents the transformed function.

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Answer:

Option b is correct

y=frac{18}{5}(11)

Step-by-step explanation:

The direct variation says that:

y propto x, then the equation is of the form:

y=kx where, k is the constant of variation.

As per the statement:

If y varies directly as x.

By direct variation:

y = kx                ….[1]

If y = 18 when x = 5

Substitute these values in [1] we have;

18 = 5k

Divide both sides by 5 we have;

frac{18}{5}= k

or

k = frac{18}{5}

y = frac{18}{5}x                 ……[2]

We have to find the value of y when x = 11.

Substitute x = 11 in [2] we have;

y = frac{18}{5} cdot 11 = frac{18}{5}(11)

Therefore, the value of y is, frac{18}{5}(11)

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When the function is given in vertex form y=a(x-h)2+k, how is the vertex found?

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When the function is given in vertex form y=a(x-h)2+k, how is the vertex found?
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PLZ HELP URGENT Which set of ordered pairs does NOT represent a function? A) (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8) B) (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9) C) (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4) D) (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)

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Okay so you need to distribute the -7.
1.) -7 times 3e which equals -21e
*negative times a positive equals a negative
2.) -7 times -2f which will equal to 14f
*negative times a negative equals a positive
3.) -7 times 4 which equals -28

which leaves you with the equation -21e + 14f -28 + 6e – 2
now just combine like terms, like -21e and 6e or -28 and -2

1.) -21e + 6e will equal to -15e
2.) -28 + -2 will equal to -30

So at the end it will be simplified down to
Answer: -15e + 14f – 30

Hope this helps

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Pronouns in the nominative case may function as?

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Pronouns in the nominative case may function as?

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What the graph of the quadratic function is

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Y=x²+x-6 (original form ax²+bx+c)

1) this is a parabola open upward since the coefficient of x² is positive
so it has a minimum.

2) Its symmetry line = -b/2a = -1/2 & for x=-1/2, y= 23/4
So its minimum is (-1/2, 23/4)

3) Now to see if the parabole intercepts the x-axis we calculate the roots of
x²+x-6. As you will notice Δ <0 so there is no roots & consequently it doesn’t intersect with x-axis
Your graph is wrong, and the parabola should be above the x-axis & it will intersect with the y-axis at y=23/4 =5.75nunits

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A hotel in Las Vegas, Nevada, is the largest pyramid in the United States. Prior to the construction of the building, the architects designed a scale model. If the height of the scale model was 9 inches less than its length and its base is a square, write a polynomial function that describes the volume of the model in terms of its length.

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i would just make this into an equation!!
t for the number of turkey sandwiches
s for the number of steak sandwiches

it’s 4 dollars for every turkey sandwich and 6 for every steak sandwich, so:
4t + 6t = 4524
you can call this your “profit” equation. it just tells you how much money they made. however many sandwiches they sold at those rates gave them the outcome of 4524

then you need a second equation, to account for the number of sandwiches, and instead of worrying about profit you need to focus on the number of sandwiches sold (which is why they gave you the number 925)
t + s = 925

the number of turkey sandwiches plus the number of steak sandwiches adds up to a total of 925 sandwiches.

so you have two equations:
4t + 6s = 4524
t + s = 925

to figure out the number of turkey sandwiches sold, you want to solve for the variable t. this can be done a few ways with your two equations, but the easiest to follow will probably be substitution in this case.

first, isolate your variable t in one of the equations. it’ll be easier with the second one.
t = 925 – s

then you plug that into your first equation:

4(925 – s) + 6s = 4524
then solve it like normal.

4(925 – s) + 6s = 4524
3700 – 4s + 6s = 4524
3700 + 2s = 4524
2s = 824
s = 412

so now you know your s variable. plug that back into the following equation, and you have the number of turkey sandwiches sold:
t = 925 – s
t = 925 – (412)
t = 513

513 turkey sandwiches were sold

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A reminder of 1 more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial. A.True B.False

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Answer:

Global maxima are (3, 0) and (-3, 0),

Local minima is (0, -1.62)

Step-by-step explanation:

Here, the given function,

f(x) = -0.02x^4+0.36x^2-1.62

Differentiating with respect to x,

f'(x) = -0.08x^3+0.72x

For maxima or minima,

f'(x)=0

implies-0.08x^3+0.72x=0

-0.08x(x^2-9)=0

implies x=0text{ or }x=pm 3

Thus, the critical points of the function f(x) are 0, -3 and 3,

Since, f'(x) > 0 on the left side of x = -3 and f'(x) < 0 on the right side of x = -3,

⇒ x = -3 is local maxima,

Also, f(-3) = 0,

f(x) has maxima at (-3, 0),

f'(x) < 0 on the left side of x = 0 and f'(x) > 0 on the right side of x = 0,

⇒ x = 0 is the local minima,

Also, f(0) = -1.62

function f(x) has minima at (0, -1.62),

Hence, the global maxima are (3, 0) and (-3, 0),

Local minima is (0, -1.62).

f'(x) >  0 on the left side of x = 3 and f'(x) < 0 on the right side of x = 3,

⇒ x = 3 is local maxima,

Also, f(3) = 0,

function f(x) has maxima at (3, 0).

Note : function f(x) has no global minima because its end behaviour is,

text{As }xrightarrow infty ; f(x)rightarrow -infty

text{As }xrightarrow -infty ; f(x)rightarrow -infty

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Which of the things listed below is a written document that provides a town with the permission to exist and function? A) Georgia General Assembly B) Commissioner’s Report C) Strong-Mayor Council D) Municipal Charter

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The correct answer is – D. globalization.

The globalization is a relatively recent trend, and it has become a dominant trend only in the past few decades. As a process, the globalization is connecting the countries, regions, continents, people, around the world in pretty much every aspect, be it economy, politics, music, social trends, fashion…

This process has its good sides and bad sides, thus it has critics for and critics against it, but it seems that most of the countries in the world are in favor of it, and it seems that it will continue to grow and spread.

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What is the inverse of the function f(x) = 2x – 10? h(x) = 2x – 5 h(x) = 2x + 5 h(x) = x – 5 h(x) = x + 5

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Posted in Mathematics

The answer, my friend, is not A, not B, so it has to be C or D. Which in this case it is C.


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How to solve f(x)=x^2+1, g(x)= 5x how to solve

(f + g)(x) = f(x) + g(x) = [3x + 2] + [4 – 5x] = 3x – 5x + 2 + 4 = –2x + 6(f – g)(x) = f(x) – g(x) = [3x + 2] – [4 – 5x] = 3x + 5x + 2 – 4 = 8x – 2(f×g)(x) = [f(x)][g(x)] = (3x + 2)(4 – 5x) = 12x + 8 – 15×2 – 10x–15×2 + 2x + 8

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Find f(6) if f(x) = x2 ÷ 3 + x.

Answer:

The value of f(6) is, 18

Step-by-step explanation:

Given the function:

f(x) = x^2 div 3+ x               …..[1]

We have to find the value of f(6).

Put x = 6 in [1] we have;

f(6) = 6^2 div 3+ 6

f(6) = 36 div 3 +6

f(6) = frac{36}{3}+6

Simplify:

f(6) = 12 +6 = 18

Therefore, the value of f(6) is, 18

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If h(x) = −2x − 10, find h(−4). −2 −18 −3 −16

Answer:

The correct option is (a) i.e.

h(-4) = -2

Step-by-step explanation:

The mathematical expression is given as :

h(x)=-2x-10……(1)

Where

h(x) is dependent on x

We need to find the value of h(x) at x = -4 . Putting the value of x in equation (1) we get :

h(-4)=-2(-4)-10

h(-4)=8-10

h(-4) = -2

The value of h(-4) is -2. So, the correct option is (a). Hence, this is the required solution.

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What is the 22nd term in the arithmetic sequence in which a4 is 73 and a10 is -11?

 For A.P nth term’s formula is 
An=a1+(n-1)d 

5.) a4=31, a10=85 
put n=4 into general term (given above) 
a4=a1+(4-1)d 
31=a1+3d (putting values of a4) 
a1=31-3d ====> (1) 

Now put n=10 
a10=a1+(10-1)d 
85=31-3d+9d (putting values of a10, and a1) 
85=31+6d 
6d=85-31 
6d=54 
d=54/6 
d=9 

Now put the value of ‘d’ into eq (1) 

a1=31-3d 
a1=31-3(9) 
a1=31-27 
a1=4 

Thus the series will be 
a2=a1+d=4+9=13 
a3=a2+d=13+9=22 
and so on 

4,13,22,….. 

And the same process for your second question 


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State the importance of examining a function analytically as well as graphically.?

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State the importance of examining a function analytically as well as graphically.?
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In addition to getting rid of dead animals and plants, what other helpful function do decomposers perform? They require chlorophyll and sunlight to perform their function. They build complex organic molecules from simple inorganic ones. They make glucose and oxygen from carbon dioxide and water. They recycle organic matter so it can be used by producers.

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Answer: O₃

Explanation:


The term isoelectronic means same number of electrons.

Then you need to count the number of electrons in the given species NO₂⁻.

You have to count the number of electrons of N (nitrogen) atoms, the number of electrons of two O (oxygen) atoms, and the adjust for the negative charge of the ions.

The atomic number of N is 7, meaning that each atom has 7 protons and 7 electrons.

The atomic number of O is 8, meaning that each atom has 8 protons and 8 electrons.

The negative charge of the ion means that it has one extra electron, which is the responsible for the negative charge.

Therefore the total number of electrons of the ion NO₂⁻ is 7 + 2 (8) + 1 = 24.

Note that that 24 = 3 x 8, so 24 is the number of electrons in 3 atoms of oxygen.

The moleucle O₃ is an allotrope of the oxygen. (an allotrope is a a form of an element with different structure and physical properties in the same physical state).

Therefore, the allotrope of oxygen isoelectronic with NO₂⁻ is O₃ (ozone)

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Which set of ordered pairs does not describe a function

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Which set of ordered pairs does not describe a function

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Many guis incorporate tool tip help, displaying a small help message identifying the function of a command button when the cursor is placed over it. a. True b. False

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In the PACED decision-making tool, what does “C” stand for “criteria”.

The PACED decision-making model refers to a rational decision-making tool, whose name makes it simple to recall five stages towards settling on a choice and the succession in which they ought to be taken. At each stage, the model gives some accommodating inquiries to consider.  

1. P: Problem: begin with characterizing the current issue.  

2. A: Alternatives: list every conceivable option.  

3. C: Criteria: select the criteria that will be utilized for assessment.  

4. E: Evaluate: assess every option against the picked criteria.  

5. D: Decision: settle on a choice!

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Caitlin is designing a railing for a set of stairs. the railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches. which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? y = –x 36 y = –3x 36 y = x 36 y = 3x 36

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Answer:

The maximum number of acres of barley the farmer can plant and still be under budget would be of 123 acres.

Step-by-step explanation:

The farmer grows two types of seeds, with a budget of $10,000. He has spent $4,200 in wheat seed, and wants to know the maximum number of barley he is able to plant.

First of all, as $10,000 – $4,200 is equal to $5,800, that is the amount of money he is able to spend in barley seeds.

As every acre of barley seed costs $47 to plant, in order to know how many acres he can plant we have to do the following calculation:

5,800 / 47 = maximum of acres the farmer can plant

5,800 / 47 = 123.40

The maximum number of acres of barley the farmer can plant and still be under budget would be of 123 acres.

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Function of diplomatic mission – AnswersMine

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Answer:

a. providing child care

Explanation:

Manifest functions are those that are intended functions of a particular society. For example, the manifest function of schools is to educate children, which means that as society, this is the reason why we have created schools. Latent functions are the ones that are not intended, but that still happen. In this case, child care is intended to provide “care” for children (manifest). However, as an unintended product, it also provides education (latent).

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Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. What is the initial value of the linear function that represents this situation? 15 gallons 30 gallons 45 gallons 60 gallons

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Answer:

option C has smallest rate of change

Step-by-step explanation:

given points  x = 0 and x = 1

hence putting value in equation y = 3x

                    y = 0   and  y = 3

rate of change of  = dfrac{y_2-y_1}{x_2-x_1}=dfrac{3-0}{1-0} = 3

from equation A) y = 8 x + 2

at x = 0   y = 2            and    at x = 1   y = 10

rate of change =   dfrac{y_2-y_1}{x_2-x_1}=dfrac{10-2}{1-0} =8

B) y = 3 x + 2

at x = 0   y = 2            and    at x = 1   y = 5

rate of change =   dfrac{y_2-y_1}{x_2-x_1}=dfrac{5-2}{1-0} =3

C) y = 2 x

at x = 0   y = 0            and    at x = 1   y = 2

rate of change =   dfrac{y_2-y_1}{x_2-x_1}=dfrac{2-0}{1-0} =2

hence, option C has smallest rate of change

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A baseball player hit a ball with an upward velocity of 46 ft/s. Its height in feet after t seconds is given by the function h= -16t^2+46t+6. What is the maximum height the ball reaches? How long will it take to reach maximum height? How long does it take to hit the ground?

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Answer:

Hazel has to spend $36.36

$36 and 36 cents.

Step-by-step explanation:

The given box is a rectangular box. To find the felt needed to cover the box, we need to find the surface area of the rectangular prism.

Surface area of a rectangular prism = 2(l*w + w*h + h*l), where “l” is the length, “w” is the width and “h” is the height of the rectangular prism.

Given: l = 11 inches; w = 8 inches; and h = 6 inches.

Now plug in these given values in the above formula, we get

Surface area of the rectangular prism = 2 (11* 8 + 8*6 + 6*11)

Let’s simplify it.

= 2(88 + 48 + 66)

= 2(202)

= 404

The surface area of the rectangular prism = 404  square inches.

The felt cost 9 cents square inches.

Convert 9 cents to dollar.

9 cents = $0.09

To find the cost of the felt needed to cover prism multiply 404 by 0.09

The total cost = 404*0.09 = $36.36

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Which is a group of tissues that work together to carry out a common function? A. cell B. organ C. organelle D. organ system

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Question █

A volcanic eruption takes place under the ocean. Huge waves crash against the shores and destroy houses of people. Which Earth systems interact during this process?

Answer: Hydrosphere █

Explanation —> The hydrosphere effects the earth system, causing natural disasters. 

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia

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PLZZ HELP FASSSSST 1. Which of the following eyects would you expect if red blood cells were shaped like neurons? (1 point) They would not be able to move as easily through capillaries. They would more easily carry out gas exchange in the alveoli. They would not need to be transported through the body. They would become more eyective at picking up urea discarded by body cells. 2. Which of the following is not a function of the skeletal system? (1 point) supports the body works with other body systems to allow movement manufactures new blood cells sends signals to the brain 3. Which of the following body systems are involved in the first line of defense of the immune system against infection? (1 point) integumentary, digestive, respiratory nervous, circulatory, skeletal muscular, endocrine, urinary urinary, skeletal, integumentary 4. Which of the following sets of structures would be involved in ridding the body of unwanted urea? (1 point) sensory neuron, interneuron, spinal cord alveoli, atrium, cilia capillary, nephron, ureter brain, esophagus, small intestine 5. An infectious disease is a disease that (1 point) is caught because the weather turns cold. is caused by pathogens. can be spread only by bacteria. cannot be cured. 6. Which of the following statements is true regarding infectious agents? (1 point) Infectious agents are all too small to be seen without a microscope, and none can be classified as living. All infectious agents are living because they are all classified as microorganisms. Of all the infectious agents, only viruses are considered living because they actively inject their DNA or RNA into host cells. Viruses cannot be treated with antibiotics because they are not living organisms. 7. Which discovery in the 1800s led to the development of germ theory? (1 point) Vaccines could prevent a disease. Antibiotics exist that can be given to counteract an infection. Infection rates decline when health care professionals wash their hands in between seeing patients. Some diseases, such as cancer, are caused by chemical factors. 8. Follow a carbon atom in a piece of bread eaten by a boy. Which of the following describes a path that this atom could take? (1 point) mouth esophagus stomach large intestine blood body cell mouth esophagus stomach small intestine blood body cell mouth large intestine esophagus stomach blood body cell mouth esophagus small intestine stomach blood body cell 9. Which of the following sets of structures is innervated by the somatic nervous system? (1 point) esophagus, stomach, small intestine atrium, ventricle, arteries biceps, triceps, quadriceps diaphragm, bladder, large intestine 10. Which of the following cell types would you expect to increase in number azer a person becomes infected with a pathogen? (1 point) sensory neurons white blood cells epidermal cells red blood cells

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There are four variables which govern changes in population size.
births
deaths
immigration
emigration

A population gains individuals by birth and immigration and loses individuals by death and emigration.

Biotic Potential
Populations vary in their capacity to grow. The maximum rate at which a
population can increase when resources are unlimited and environmental
conditions are ideal is termed the population’s biotic potential. Each
species will have a different biotic potential due to variations in
the species’ reproductive span (how long an individual is capable of reproducing)
the frequency of reproduction (how often an individual can reproduce)
“litter size” (how many offspring are born each time)
survival rate (how many offspring survive to reproductive age)

There are always limits to population growth in nature. Populations
cannot grow exponentially indefinitely. Exploding populations always
reach a size limit imposed by the shortage of one or more factors such
as water, space, and nutrients or by adverse conditions such as disease,
drought and temperature extremes. The factors which act jointly to
limit a population’s growth are termed the environmental resistance. The interplay of biotic potential and density-dependent environmental resistance keeps a population in balance.
Carrying Capacity
For a given region, carrying capacity is the maximum number of
individuals of a given species that an area’s resources can sustain
indefinitely without significantly depleting or degrading those
resources. Determining the carrying capacities for most organisms is
fairly straightforward. For humans carrying capacity is much more
complicated. The definition is expanded to include not degrading our
cultural and social environments and not harming the physical
environment in ways that would adversely affect future generations.

For populations which grow exponentially, growth starts out slowly,
enters a rapid growth phase and then levels off when the carrying
capacity for that species has been reached. The size of the population
then fluctuates slightly above or below the carrying capacity.
Reproductive lag time may cause the population to overshoot the carrying
capacity temporarily. Reproductive lag time is the time required for
the birth rate to decline and the death rate to increase in response to
resource limits. In this scenario, the population will suffer a crash
or dieback to a lower level near the carrying capacity unless a large
number of individuals can emigrate to an area with more favorable
conditions. An area’s carrying capacity is not static. The carrying
capacity may be lowered by resource destruction and degradation during
an overshoot period or extended through technological and social
changes.

An example of dieback occurred in Ireland after a fungus infection
destroyed the potato crop in 1845. During this potato famine
approximately 1 million people died and 3 million people emigrated to
other countries. Increased food production due to improved agricultural
practices, control of many diseases by modern medicine and the use of
energy to make historically uninhabitable areas of Earth inhabitable are
examples of things which can extend carrying capacity. The question is
how long will we be able to keep increasing our population on a planet
with finite size and resources?

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Where are chlorophyll molecules located? What is their major function?

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Answer;

FADH2

Explanation;

Glycolysis involves the breaking down of a sugar; generally glucose, although fructose and other sugars may be used; into more manageable compounds in order to produce energy.

Glycolysis produces 2 ATP, 2 NADH, and 2 pyruvate molecules: Glycolysis, or the aerobic catabolic breakdown of glucose, produces energy in the form of ATP, NADH, and pyruvate, which itself enters the citric acid cycle to produce more energy.

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Which of the following can be modeled with an exponential function? Select all that apply. A. Height over time that a football is thrown across the field. B. The cost to attend Universal Studios increases by 1% each year. C. An endangered species population is decreasing by 12% each year. D. The distance a bicyclist travels when cycling a constant speed of 25 mph. E. The population of a town that is growing by 5% each year.

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Answer:  The answer is (B), (C) and (E).

Step-by-step explanation: We are given five options out of which we are to select all those which can be modelled by exponential functions.

We can see that the options (A) and (D) cannot be modelled by exponential functions, because the rate of increasing or decreasing are not calculating compoundly.

But, in options (B), (C) and (E), the rate is increasing or decreasing each year.So, these three can be modelled by exponential functions.

In fact, the options (B) and (E) will show exponential growth because the number is increasing and option (C) will show exponential decay as the number is decreasing.

Thus, (B), (C) and (E) are the correct options.

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Is my answer, right? The table of values represents a polynomial function f(x). How much greater is the average rate of change over the interval [7, 9] than the interval [4, 6]? x f(x) 4 105 5 384 6 945 7 1,920 8 3,465 9 5,760 Is the answer 605 or am I way off?? $.$

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Answer:

The average rate of change A(x) over interval [a, b] is given by:

A(x) = frac{f(b)-f(a)}{b-a}        …..[1]

As per the statement:

The table of values represents a polynomial function f(x).

For interval [7, 9]

f(7) = 1920

f(9) = 5760

then

using equation [1] we have;

A_1(x) = frac{f(9)-f(7)}{9-7}    

Substitute the given values we have;

A_1(x) = frac{5760-1920}{9-7}=frac{3840}{2}=1920

Next:

For interval [4, 6]

f(4) =105

f(6) =945

then

using equation [1] we have;

A_2(x) = frac{f(6)-f(4)}{6-4}    

Substitute the given values we have;

A_2(x) = frac{945-105}{6-4}=frac{840}{2}=420

A_1(x)-A_2(x) = 1920-420=1500

A_1(x) = 1500+A_2(x)

Therefore,1500 greater is the average rate of change over the interval [7, 9] than the interval [4, 6]

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How are the real solutions of a quadratic equation related to the graph of the quadratic function? Please help? I need a real-world solution for this and I’m not sure what it’s asking for

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Answer: Hello there!

we have the equation y = 1.09x, that describes the number of yards y in x meters.

a) Yes, if you have negative numbers of x (this means negative meters, this is used usually to denothe something that is behind the observer) then the equation transform them into negative yards.

b) in this case you want to know how many meters are in 40yd, then we replace y by 40yd in the equation:

40 = 1.09x

x = 40/1.09 = 36.7 meters

so in a 40yd race, there are 36.7 meters.

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What is the function of the electron transport chain?

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Passive Transport: Simple Diffusion

Diffusion across a cell membrane is a type of passive transport, or transport across the cell membrane that does not require energy. Remember that the cell membrane is a phospholipid bilayer. Although the inside and the outside of a cell are both water-based, there is a hydrophobic region in the middle, and this is an important barrier to anything large, charged, or hydrophilic. Molecules that are hydrophobic, just like the hydrophobic region, can pass through the cell membrane by simple diffusion.

Therefore, simple diffusion is the unassisted passage of small, hydrophobic, nonpolar molecules from a higher concentration to a lower concentration. Very small molecules can slip through the cell membrane, too, even if they are hydrophilic – just like a few ants might crawl through a crack in the wall just because they’re tiny.

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