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What is the end behavior of the following graph

Help Asap What Is The End Behavior Of The Following Graph

Answers

Answer 1

Using limits, it is found that the end behavior of the graph is given as follows:

It rises to the left, and stays constant at y = -4 to the right.

What is the end behavior of a function f(x)?

It is given by the limits of f(x) as x goes to infinity.

In this problem, the function is given by:

[tex]f(x) = 4\left(\frac{2}{5}\right)^{x + 3} - 4[/tex]

Hence:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{5}{2}\right)^{\infty + 3} - 4 = \infty - 4 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{2}{5}\right)^{\infty + 3} - 4 = 0 - 4 = -4[/tex]

Hence:

It rises to the left, and stays constant at y = -4 to the right.

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Related Questions

Which can be represented as set of ordered pairs?
A. Expression
B. Relation
C. Equation
D. All of the choices

Answers

D. All of the choices.

Answer:

D.All of the choice

Step-by-step explanation:

D.All of the choice

PLEASE HELP ME WITH THIS ANSWER WHAT IS IT????

f(x) = 5(2)^x

Answers

Answer
20

Step 1
2^2 is 4

Step 2
5(4)
5 x 4 = 20

What is the answer for the question down below

Answers

Answer:

x = 45°

Step-by-step explanation:

If AC is a supplementary line, then

x + 90° + x = 180°

solution:

2x + 90° = 180°   |subtract 90° from both sides

2x = 90°    |divide both sides by 2

x = 45°

Answer:

[tex] \sf \: b) \: {45}^{o} [/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

Forming the equation,

→ x + x + 90° = 180°

Then the value of x will be,

→ x + x + 90° = 180°

→ 2x = 180° - 90°

→ 2x = 90°

→ x = 90° ÷ 2

→ [ x = 45° ]

Hence, the value of x is 45°.

40 points, please help lol

Answers

The simplified expression of [tex]x^{-2/3} . x^{6/7}[/tex] is [tex]x^{4/21}[/tex]

How to simplify an expression?

The expression [tex]x^{-2/3} . x^{6/7}[/tex] can be simplified as follows:

using law of indices,

xⁿ . xᵇ = xⁿ⁺ᵇ

Therefore,

[tex]x^{-2/3} . x^{6/7}[/tex] = [tex]x^{-2/3 + 6/7}[/tex]

[tex]x^{-2/3 + 6/7} = x^{ -14+18/ 21}[/tex]

[tex]x^{-2/3 + 6/7} = x^{ -14+18/ 21} = x^{4/21}[/tex]

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1. A comfortable ambient temperature is called room temperature. Approximately,
how hot or cold is it?
A. 20 OC B. 20 OF C. 40 OC D. 40 OF
2. Convert: 5da = _______hr
A. 300 B. 240 C. 120 D. 60
3. Pasig river can discharge a maximum of 56 m3 per second of water. How many
liters per second can it discaharge?
A. 56 B. 560 C. 5 600 D. 56 000
4. A snail moves at a constant rate of 25 cm per minute. At this rate, how many
hours will it take the snail to crawl 75 m?
A. 3 B. 4 C. 5 D. 6
5. The human body can normally endure a temperature of 105 0F but for a short
period of time only, otherwise, there will be permanent damage to the brain and
vital organs. What is the equivalent temperature in 0C?
A. 37 B. 37.5 C. 40.56 D. 45.56

Answers

Answer:

Using the simple mathematical relations and formulas we get the following correct answers.

1. Option A

2. Option C
3. Option D

4. Option C

5. Option D

Step-by-step explanation:

1. The approximate room temperature is 20°C. Option A is correct.

2. 1 day has 24 hrs. 5 days will have 5×24 = 120 hrs. Option C is correct.

3. The discharge is 56m³/sec. 1m³ has 1000L. So the discharge is 56000L/sec. Option D is correct.

4. The speed is 25cm/min or (25×0.01×60)m/hrs. = 15m/hrs. For 75m the snail would take 75/15 = 5hrs. Option C is correct.

5. The relation between °C and °F is (F-32)/1.8. The equivalent temperature is (105-32)/1.8 = 40.56°C. Option D is correct.

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I’m still not sure how the answer would be D (CBA), couldn’t it also be ACB?

Answers

Answer: No it could not be ACB.

Step-by-step explanation:

Angles are named based on the vertex of the angle so this could be referred to as ∠B. The other way to name an angle is by saying the three points, However, when you say the three points the vertex must be in the middle. Hence, the answer is ∠CBA as the middle point of the angle is in the middle of the name.

a list of 8 numbers has a mean of 6. work out the total of the numbers.​

Answers

Answer:

48

Step-by-step explanation:

The mean of a number is the sum of all the numbers divided by how many numbers there are. We can set up this formula: [tex]mean = \frac{sum}{amountnumbers}[/tex].

When we plug our values into this equation, we get: [tex]6 = \frac{sum}{8}[/tex]. Solving this equation gets us sum = 6 * 8 = 48

Helpppppp pleaseeee shoe your work

Answers

2p-4p ≤ -2

-2p ≤ 2

[tex]\frac{-2p}{-2} \leq \frac{-2}{-2}[/tex]  (Sign flips as both sides it is getting divided by NEGATIVE 2)

p≥1

Interval notation: [1, infinity)

Hope it helps!

How much is the bill for a person who used 700 kWh in a month?

Answers

Answer:

700 kWh which is more than 200 so

0.10(x - 200) + 30

0.10( 700 -200)+ 30

0.10( 500) + 30

50 + 30

80

$80

If f(x) = 2x - 6 and g(x) = x - 2x², find the value of f(2) + g(-3)

Answers

Answer:

-23

Step-by-step explanation:

f(2)= 2*2-6 = -2

g(-3)= -3-2*9 = -21

---> f(2)+G(-3)= -2-21 = -23

Answer: -23

Step-by-step explanation:

     f(2) + g(-3) means that we will substitute 2 as x into the function f, and add that to -3 substituted as x into function g.

     First, we will find the substituted and simplified values of these functions.

f(x) = 2x - 6

f(2) = 2(2) - 6

f(2) = -2

[tex]-----[/tex]

g(x) = x - 2x²

g(-3) = (-3) - 2(-3)²

g(-3) = -21

     Lastly, we can add them.

f(2) + g(-3)

-2 + -21

-23

A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the side length of the rhombus?

Answers

Using the cosine ratio, the expression that can be used to determine the  side length of the given rhombus is: x = 10/cos 30.

What is the Cosine Ratio?

The cosine ratio that can be used to solve a right triangle is, cos ∅ = adj/hyp.

x represents the side of the rhombus as shown in the image attached.

Hypotenuse = x Adjacent = 10 in.∅ = 30

cos 30 = 10/x

x(cos 30) = 10

x = 10/cos 30

Thus, the equation that would be used to determine the side length is: x = 10/cos 30

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Answer:

A

Step-by-step explanation:

10/cos 30°

There were 35 children and 10 adults in a picnic. What is the ratio of children to the total number of people in the picnic?

Answers

Ans: 35:45 which is simplified to 7:9

Answer:

7/9     ( or  7:9)

Step-by-step explanation:

Children = 35

Total people = 35 + 10 = 45

ratio Children / total people =  35/45  = 7/9

Hi, so I know the answer to this problem (now that I got it wrong) but I'm not quite sure why I was wrong, help?

Answers

Answer:

[tex]-2x^2-x[/tex]. Your answer was wrong because "x-squared" terms didn't cancel.

Step-by-step explanation:

To solve this problem, set up an equation.  We know something is supposed to be added to the expression [tex]2x^2+2x[/tex], and the result should be x. So:

[tex]2x^2+2x+(\text{ ? })=x[/tex]

We want to solve for the question mark... the unknown thing that we're adding to the original expression, in order to get x.

It is uncommon to put question marks in equations to represent quantities. Usually we use a letter. Since x is already being used in the equation, we should pick something else ... we could use "y".

[tex]2x^2+2x+(\text{ } y \text{ })=x[/tex]

...or just...

[tex]2x^2+2x+y=x[/tex]

Algebra allows us to solve the equation and find out what "y" is equivalent to.

To solve, we want to get the "y" by itself. To do so, we try to eliminate the other "terms" from the left side of the equation.

Understanding "terms" & "like terms"

Terms

"Terms" in an equation are either a number multiplied to other things, or just a single number that isn't multiplied to anything else.

For example, the various terms in our equation above are

[tex]2x^2[/tex], [tex]2x[/tex], [tex]y[/tex], [tex]x[/tex]

You might ask why the last things, which don't have a number, are considered terms.

Remember that multiplying by 1 doesn't change anything, so we could imagine each of the last two terms as being 1 times the letter.

So, we can rewrite our equation:

 [tex]2x^2+2x+1y=1x[/tex]

Like terms

"Like terms" are terms where the "other stuff the numbers are multiplied to" is the same, so for instance, the [tex]2x[/tex] and the [tex]1x[/tex] are like terms. They are like terms because, the "other stuff" that the numbers are multiplied to are "x" for both terms. Note that [tex]2x[/tex] and [tex]2x^2[/tex] are not "like terms" because the "stuff" is different:

[tex]x[/tex] is different than [tex]x^2[/tex]

"Like terms" are important because only like terms can be "combined" into a single simplified term.

Solving equations

To solve an equation, we isolate what we're solving for, y, by disconnecting the other terms from it, and simplify.

Starting with subtracting 2x from both sides of the equation:

[tex]2x^2+2x+1y=1x\\(2x^2+2x+1y)-2x=(1x)-2x[/tex]

Subtraction is the same as "adding a negative":

[tex]2x^2+2x+1y+(-2x)=1x+(-2x)[/tex]

Since all terms are now connected by addition, we can add in any order we want (because of the Commutative Property of Addition), and we can combine like terms.

Thinking just about the number parts, since [tex]1+(-2)=-1[/tex],  then [tex]1x+(-2x)=-1x[/tex].

Returning to our main equation, the right side simplifies:

[tex]2x^2+2x+1y+(-2x)=1x+(-2x)\\2x^2+2x+1y+(-2x)=-1x[/tex]

On the left side: [tex]2x[/tex] and [tex]-2x[/tex] are like terms.

Fact: [tex]2+(-2)=0[/tex]

So, [tex]2x+(-2x)=0x[/tex]

Since anything times zero is just zero, [tex]0x=0[/tex]. Furthermore, adding zero to anything doesn't change it.  So when the [tex]2x[/tex] and [tex]-2x[/tex] terms on the left side of our main equation are combined, they "disappear" (While we talked through are a lot of rules/steps to justify why that works, it is common to omit those justifications, and to just combine those like terms and make them disappear.)

So, [tex]2x^2+2x+1y+(-2x)=-1x[/tex] simplifies to:

[tex]2x^2+1y=-1x[/tex]

Similarly for the [tex]2x^2[/tex] term, we subtract from both sides:

[tex]2x^2+1y=-1x\\(2x^2+1y)-2x^2=(-1x)-2x^2\\2x^2+1y+(-2x^2)=-1x+(-2x^2)[/tex]

Combining like terms on the left, they disappear.

[tex]1y=-1x+(-2x^2)[/tex]

There are no like terms on the right.

Since the two terms on the right are added together, we can use the commutative property of addition to rearrange:

[tex]1y=-2x^2+(-1x)[/tex]

Addition of a negative can turn back into subtraction, and simplify multiplication by 1.

[tex]y=-2x^2-x[/tex]

Remembering we chose "y" as the unknown thing we wanted to know, that's why the "correct answer" is what it is.

Verifying an answer

Verifying can double check an answer, and helps explain why the answer you chose doesn't work.

To verify an answer, the original statement said add something to the expression and get a result of "x". So, let's see if the "correct answer" does:

[tex]2x^2+2x+(\text{ } ? \text{ })\\2x^2+2x+(-2x^2-x)\\2x^2+2x+(-2x^2-1x)\\2x^2+2x+(-2x^2)+(-1x)[/tex]

Combining the "x-squared" terms, completely cancels...

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

Combining the "x" terms, and simplifying...

[tex]1x\\x[/tex]

So it works.

Why isn't the answer what you chose:

[tex]2x^2+2x+(\text{ } ? \text{ })\\2x^2+2x+(-x^2-x)\\2x^2+2x+(-1x^2-1x)\\2x^2+2x+(-1x^2)+(-1x)[/tex]

Combining the x-squared terms, things don't completely cancel...

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

Combining the x terms...

[tex]1x^2+1x\\x^2+x[/tex]

So adding the answer that you chose to the expression would not give a result of "x", which is why it is "wrong"

In studies that use more than one data collector, how is the consistency of the data evaluated?.

Answers

In order to evaluate consistency in studies with more than one data collector, the Inter-rater reliability is used.

What is the Inter-rater reliability?

This is a measure in research that is used to test the data presented by different data collectors, for consistency.

It essentially checks the extent to which the data collected from the different sources agree with each other.

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What is the approximate value of x in the diagram below

Answers

We use Tan in this case:

Tan=(opposite/adjacent)

Tan(36)=23/x

x=23/Tan(36)

x=31.64 length

Hope it helps!

Answer:

x ≈ 31.64

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

sin 36° ≈ 0.588cos 36° ≈ 0.809tan 36° ≈ 0.727

The given trigonometric ratios all use the angle of 36°.

From inspection of the given diagram:

x is the side adjacent to the angle of 36°23 is the side opposite to the angle of 36°

Therefore, we should use the tan trig ratio.

[tex]\implies \sf \tan(36^{\circ})=\dfrac{23}{x}[/tex]

[tex]\implies \sf x=\dfrac{23}{\tan(36^{\circ})}[/tex]

Substituting the given value for tan 36°:

[tex]\implies \sf x \approx \dfrac{23}{0.727}[/tex]

[tex]\implies \sf x\approx31.64[/tex]

divide: 8x^3 y^5 / 4x^2 y^3

Answers

[tex]2 {x}^{5} {y}^{8} [/tex]

Step-by-step explanation:

yes

What is the value of x?

(See attached image for details.)

Enter your answer in the box.

x =

Answers

Answer: x = 12

Step-by-step explanation: The given triangle is an equilateral triangle. Equilateral triangles have all angles and all sides equal. Thus, let's solve for x knowing all 3 equations are equal. For this, only 2 equations are necessary.

5x - 22 = 4x - 10

Adding 22 to both sides, we get:

5x = 4x + 12

Subtracting 4x to 5x, we get:

x = 12.

Thus 5*12 - 22 = 38, and 4*12 - 10 = 38, and so is 3*12 + 2 = 38. Thus, we know this is correct.

Answer:

x = 12

Step-by-step explanation:

Hello!

All three angles are congruent, indicating that this is an equilateral triangle.

The rules of this triangle say that all sides are congruent.

We can solve for x by setting any 2 sides equal to each other. I'm picking AB and BC.

Solve for x4x - 10 = 3x + 24x - 3x - 10 = 2x - 10 = 2x = 12

The value of x is 12.

1.1 divided by 1.54 simplified

Answers

Answer:

1•4

Step-by-step explanation:

1•54÷1•1

1•54

1•1

divide by 10 both side with can move decimal

15•4

11

=my answer is 1•4.

Answer:

The correct answer for algebraic expression 1.54÷1.1 is = 1.4.

Step-by-step explanation:

this is question based on simple algebra -

Simple Algebraic equations -  An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. we can apply many operations on algebraic equations like addition, subtraction, multiplication, division and raising to a power, and extraction of a root.

these equations are two algebraic expressions that are joined together using an equal to ( = ) sign. An algebraic equation is also known as a polynomial equation because both sides of the equal sign contain polynomials

so in the question algebraic operation used to solve is simple division.

therefore here in question we have to divide 1.54 with 1.1,

using the concept written above,

let the value of division be 'x'

we can write 1.54/1.1 = x

by dividing and multiplying the equation by 100 to remove the decimals.

            (1•54/ 1•1)×100/100    = x

                    154/110    =  x

now by simple division,

                      1.4   =  x  answer

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what is the square root of 799300

Answers

Answer:

894.035793467 or roughly 894

Step-by-step explanation:

I square rooted it by using a calculator, and by working it out on paper.

894.035793467 is the answer blah Azkaban’s bandana

A. 21.50
B. 32.25
C. 30.15
D. 20.75

Answers

Answer:

B

Step-by-step explanation:

Similar to the one you asked earlier.

Given from the table

1 Gallon of gas = $2.15

15 gallons of gas = $2.15 x 15

= $32.25 (B)

Which polynomial is factored completely? 4 (4 x superscript 4 baseline minus 1) 2 x (y cubed minus 4 y squared 5y) 3 x (9 x squared 1) 5 x squared minus 17 x 14

Answers

The answer choice which represents a polynomial which is factored completely is; (y³ - 4y² +5)

Which polynomial is factored completely?

The polynomials as given in the task content are;

4(4x⁴ -1) + 2x

(y³ - 4y² +5)

3x (9x² -1)

5x² -17x +14

Hence it follows that the polynomial which cannot be further factorised is; (y³ - 4y² +5).

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Answer:3 x (9 x squared + 1)

it is c because i did the test and put b but got it wrong

Step-by-step explanation:

Mr. Gaffy asked his students to pick a number, add
3 to it, multiply by 5 and then reduce it by 12.
Jermaine calls out his answer of 15. What number
did Jermaine start with?

Answers

Answer:

2.4

Step-by-step explanation:

We must do the inverse of every operation:

15 + 12 = 27

27/5 = 5.4

5.4 - 3 = 2.4

He multiplied 3 and 5 and got 15

Carol measured a straw and wrote down how long it was in inches. pete multiplied carol's straw length by and cut a straw to be that many inches long. joe multiplied carol's straw length by and cut a straw to be that many inches long. which straw belongs to whom?

Answers

Answer:

pete

Step-by-step explanation:

i think its pete???

Which graph represents the function h(x) = |x| + 0.5?

On a coordinate plane, an absolute value graph has a vertex at (0, 1.5).

On a coordinate plane, an absolute value graph has a vertex at (negative 0.5, 0).

On a coordinate plane, an absolute value graph has a vertex at (0, 0.5).

On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, 0).

Answers

Answer:

On a coordinate plane, an absolute value graph has a vertex at (0, 0.5).

Step-by-step explanation:

properties of the given function

domain=X€Rrange=[1/2,+♾️)minimum (0,1/2)

Answer: it's the second option

Step-by-step explanation:

What factor or factors may reduce risk? (5 points)
O Futures investments
O International stocks
Media hype
Diversified portfolios

Answers

I know it is futures ivestments

In each of problems 5 through 11, find the general solution of the given differential equation

Answers

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function [tex]y(t)=e^t[/tex]  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

[tex]y_1(t) = e^t[/tex]

Given differential equations are,

y''-y = 0

 So that,  

[tex]y' (t) = e^t, y'' (t) = e^t[/tex]

Substitute values in the given differential equation.

[tex]e^t -e^t=0[/tex]

                   

Therefore, the function [tex]y(t)=e^t[/tex]  is the solution of the given differential equation.

Another function;

[tex]y(t)=cosht[/tex]  

So that,  

[tex]y"(t)=sinht\\\\y"(t)=cosht[/tex]

Hence, function y(t)=cosht is solution of given differential equation.

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An object is attached to a spring that is stretched and released. The equation d= -8COS(pi/6 t) models the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.
0 seconds
1.38 seconds
4.62 seconds
8 seconds

Answers

The time when the object will be 6 inches above the rest position is C. 4.62 seconds.

How to depict the information?

From the information, the object is attached to a spring and is stretched and released.

The given model is given as:

d = -8 cos (π/6t)

In this case, it's important to plot the graph based on the model given. Therefore, the time when the object will be 6 inches above the rest position is 4.62 seconds.

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If a(x) = 3x 1 and b (x) = startroot x minus 4 endroot, what is the domain of (b circle a) (x)?

Answers

The composite function (boa)(x) is equivalent to √3x-3

Composite function

Given the following functions

a(x) = 3x +1

b(x) = √x - 4

To determine the composite function (boa)(x)

b(a(x) = b(3x +1)

Substitute 3x + 1 into b(x) to have:

(boa)(x)= √(3x + 1) - 4

(boa)(x) = √3x-3

Hence the composite function (boa)(x) is equivalent to √3x-3

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WILL GIVE BRAINLIEST!!!
For science class, Cora observed the growth of a pepper plant over time. Below is her log. How much taller was the pepper plant at the end of 4 weeks?

Growth of Plant
Start 3 inches
Week 1 5 inches
Week 2 7 inches
Week 3 9.5 inches
Week 4 11 inches

A. 6.75 inches

B. 7.5 inches

C. 8 inches

D. 10 inches

Answers

Answer:

c

Step-by-step explanation:

week 4 = 11

start = 3

11 - 3 = 8

answer is c

The correct Answer is: C. 8 inches

Step-by-step explanation:

If the plant started out at 3 inches and finished after 4 weeks at 11 inches, we can do 11-3 to find how much growth the pepper plant had.

11 - 3 = 8, therefore our answer is

C. 8 inches

The graph below have the same shape.what is the equation of the blue graph?

Answers

Answer:

g(x) = (x - 5)²

Step-by-step explanation:

This is an example of the transformation of functions.

In this example, we see the graph f(x) has been moved 5 in the positive direction on the x-axis.

Due to the fact that we are working with the x-axis, our transformation will be placed inside the bracket, and it will do the opposite of what we expect.

This means that our transformation will be set out in this format:

[tex]g(x) = f(x-5)[/tex]

We know that:

[tex]f(x) = x^2[/tex]

Therefore,

[tex]g(x) = f(x-5) = (x-5)^2[/tex]

So, [tex]g(x) = (x-5)^2[/tex].

Other Questions
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