Which statement describes the end behavior of the function f(x) = 8|x − 1| + 13?

A.
As x approaches negative infinity, f(x) approaches negative infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches positive infinity, f(x) is no longer continuous.

Answers

Answer 1

The statement that describes the end behavior of the function f(x) = 8|x − 1| + 13 is:

As x approaches positive infinity, f(x) approaches negative infinity.C.

Let's analyze the function.

The function f(x) = 8|x − 1| + 13 involves the absolute value of x − 1, which means that the expression inside the absolute value will always be non-negative.

x approaches positive infinity, the value of x − 1 also approaches positive infinity.

Since the absolute value of a positive number is equal to the number itself, we can simplify the expression to f(x) = 8(x − 1) + 13.

As x approaches positive infinity, the term 8(x − 1) becomes larger and larger, making f(x) approach negative infinity.

The constant term 13 does not have a significant impact on the end behavior as x becomes increasingly large.

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Related Questions

7. Angles that are complementary
add up to 90 degrees. If two
complementary angles are in the
ratio of 4:1. how large is the larger
angle?

Answers

Answer:

72 degrees is the larger angle

Step-by-step explanation:

SImple ratio problem

So we got a ratio of 4:1 that eqauls to 90 degrees when added up. We can jsut add the 2 numbers 4+1 which will be 5. Now divide 90 by 5 which will equal 18. Now we multiply 18 by each number int he same order of the ratio.

4*18: 1*18

72:18 which equals 90. SInce they ask for the larger angle the answer will be 72.

HELPPP PLEASE
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,160) and (8,320) to find
the number of soda bottles the machine can make
each minute

The machine can make __ soda bottles each minute.

Answers

Answer:

Step-by-step explanation:

1

make. Use the points (4,160) and (8,320) to findthe number of soda bottles the machine can makeeach minuteThe machine can make __ soda bottles each minute.

!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties of a kite, trapezoid, square, rectangle, parallelogram, rhombus?

Answers

Answer:

In short, they are all quadrilaterals.

Step-by-step explanation:

Rectangle:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

Square:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

- Diagonals within the square are perpendicular

Parallelogram:

- Opposite sides are equal and parallel

- Opposite angles are equal

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Rhombus:

- Opposite angles are equal

- All sides are equal

- Opposite sides are parallel

- Diagonals within the square are perpendicular

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Trapedzoid:

- There is only one pair of parallel lines

Kite:

- There are two pairs of equal signs

- There are two equal angles

- You can look at it like two equal triangles glued together

Really hope this helped you!

Find the length of AB.
AB= [ ? ]in

Answers

Arc AB is equal to 3.14

Help me ggfsnjsheejhdbshsjsnsjshwn

Answers

Wheres the picture??

Answer:

x=29

Step-by-step explanation:

Since this is a straight line, it has to be 180 degrees in total.

Solve x+35+4x=180.

Add the similar numbers. (5x+35=180)

Subtract 35 to 180 (145)

Solve for this by divding 145 by 5: 5x=145

145/5 = 29

So, x = 29.

(To check your answer, subsitute it in. 4x29 = 116. 29+35=64. Add both numbers together, making it equal to 180.)  

Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode in the trail for 5 5/6 miles and then rode back home. Which addition sentence shows many miles Gretchen rode in all?

Answers

Answer:

85/12. figure out which one the answer is now, just convert 85/12 to a mix number

Step-by-step explanation:

5/4 + 35/6 = 85/12.

Answer:

The correct answer is D

Step-by-step explanation:

Find the midpoint of the segment below.

Plz help me

Answers

Answer:

0.5 , 1

Step-by-step explanation:

Describe how to find what value of x must be to minimize the function f(x) = 9x^{2} - 36x + 32 using factoring.

Answers

Answer: x=2, f(x)=-4

Step-by-step explanation:

Given

[tex]f(x)=9x^2-36x+32[/tex]

Solving it, add and subtract 4 to it

[tex]\Rightarrow f(x)=9x^2-36x+36-4\\\Rightarrow f(x)=(3x)^2+(6)^2-2\times 3x\times 6-4\\\Rightarrow f(x)=(3x-6)^2-4\\\\\text{here minimum value of }\ (3x-6)^2\ \text{is 0 for x=2}\\\text{so mnimum value of }\ (3x-6)^2-4\ \text{is}\ -4[/tex]

Answer: after you factor use the results (3x-6)^2 - 4 to find the minimum X value but picking a number for the X value to solve to 0.

Step-by-step explanation:

Plug x=2 into the equation and it solves to 0 leave out the -4 because this is the y value

I don't know what is true about 3x9? A. It is 3 is more than 9 B. It is 3 is less than 9 C. It is 3 times as much as 9 D. It is 3 times smaller than 9

Answers

Answer:

C. It is 3 times as much as 9

Step-by-step explanation:

3 * 9 = 27

Using elimination method;

A. It is 3 is more than 9

3 + 9 ≠ 27

This is incorrect.

B. It is 3 is less than 9

3 - 9 ≠ 27

This is incorrect.

C. It is 3 times as much as 9

3 * 9 = 27

This is the correct option.

D. It is 3 times smaller than 9

9 / 3 ≠ 27

PLSS ANSWER WILL GIVE BRAINLIEST IF RIGHT

Answers

3 presents.

Reason:

12 divided by 2 is 6, and 18 divided by 3 is also 6, meaning that he will be able to wrap 3 presents.

Answer:

Answer is 3 presents

Step-by-step explanation:

12 centimeter tape used for 2 presents

1 centimeter tape used for [tex]\frac{2}{12}[/tex] presents

18 centimeter tape used for 18 × [tex]\frac{2}{12}[/tex] presents

                                             = 3 presents        

JT
Evaluate cot
3
0
2-3
3
V2
0 2
V3
3

Answers

Answer: D

Step-by-step explanation:

The solution is, the required value is cot(π/3) = √3/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

we know that,

note :

cot a = cosa /sina

here,

so : cot(π/3) = cos(π/3)/sin(π/3)

but : cos(π/3) = 1/2  

and   sin(π/3) = √3 /2

now, we get,

cot(π/3) = (1/2) / (√3 /2)

             = (1/2)×(2/√3 )

             = 1/√3

             = (1×√3)/( √3 ×√3)

             = √3/3

Hence, The solution is, the required value is cot(π/3) = √3/3

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easy question answer plssss

Answers

Answer:

Y = 1

Step-by-step explanation:

Proportional

Answer:

y=1

Step-by-step explanation:

Because they are proportional, the two points have to be equal if they were like a fraction. This means (15,3) would be 15/3 which is equal to 5. The other point is (5,?), so that means that the point will have to be 1. This is because then the point will be equal to 5.

Hope this helps

Show me how to solve step by step please

Answers

Answer:

188

Step-by-step explanation:

88 + 6= 94

94 + 94 = 188

188 divided by 2 = 94

94 - 6 = 88

88 was how much Paula paid

ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically​

Answers

Answer:

there was 12 pencil's in each package because 12 ×4=48 48 -8=40

Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t) and the number of days (d) Jamie has practiced?

d = 45t

d = 45 + t

t = 45d

t = 45 + d

Answers

The answer is: t=45d.
T=45d minutes= 45minutes by how many days

Tino bought a piece of granite
that is 5 feet long. The cost
of the granite is $3.50 per
foot, including tax. What is the
total cost, in dollars, of Tino's
granite purchase?

Answers

The answer is $17.5.
How I did it-
All you need to do was multiply $3.50 x 5

hiii please answer !!

Answers

Answer:

21 and 35

Step-by-step explanation:

Prime factorization of 21 is 3*7

Prime factorization of 35 is 5*7

Answer:

21 and 35

Step-by-step explanation:

hi please help i’ll give brainliest please

Answers

Step-by-step explanation:

B ANSWER OOOOOKKKKKKKKK

Find the value of t if the value of 3x+5x –2t equals to 8, when x=- 1

Answers

Answer:

t=-8

Step-by-step explanation:

-3+-5-2t = 8

-8 -2t = 8

t = -8

Aiden and Haisem are going to eat the same amount of hamburgers and fries, but from different restaurants. Aiden goes to Burger King and spends $4.75. Each burger costs $1.25 and fries cost $0.50. Haisem spends $6.48 at McDonalods. Each burger costs $1.50 and fries cost $0.99. How many burgers and fries did Aiden and Haisem each buy?

Answers

Answer:

the burgers be 3 and fries be 2

Step-by-step explanation:

The computation is shown below:

Let us assume burgers be x

And, the fries be y

Now according to the questiojn

1.25x + 0.50y = $4.75

1.50x + 0.99y = $6.48

Now multiply by 1.2 in the first equation

1.50x + 0.6y = $5.70

1.50x + 0.99y = $6.48

-0.39y = -0.78

y = 2

Now put the value of y in any of the above equation

1.25x + 0.50(2) = $4.75

x = 3

Hence, the burgers be 3 and fries be 2

How can this expression be written another way?

30x + 100
Factor using the distributive property and the greatest common factor to write an equivalent expression.

options:

10 (3x + 10)


30 (x + 100)


100 (30x)


100x + 30

Answers

Answer:

option 1:

Step-by-step explanation:

10 (3x + 10)

In Las Vegas, a particular sports bet has about a 30% chance of winning. If the bet wins, the bettor will win 15
dollars. If the bet loses, the bettor will lose 10 dollars.
The expected return of placing one of these bets is -2.50 dollars.
Which of the following statements are true?
Choose all answers that apply:
The average return per bet from 2 of these bets must be exactly -2.50 dollars.
It is possible for a bettor to place 2 of these bets and win both of them.
If a bettor places a large number of these bets, they should expect to average a return of about
-2.50 dollars per bet.

Answers

Answer:

b and c

Step-by-step explanation:

i got it right on my khan academy

Translate each inequality
"18 less than the quotient of a number and -5 is no less than 31"

Answers

Answer:61

Step-by-step explanation:


Tell whether x and y show a positive, a negative, or no correlation.
so 12
45
40
20
15
10
.
5
5
10 15 20 25 30 35 40 45 SO

Answers

Answer:

her 9PM and a lot are a little too short

a = 12.9 cm, = 9.4 cm and c = 6.9 cm for the triangle shown below.Work out the value of x rounded to 1 DP.The diagram is not drawn to scale.

Answers

Answer: do u want my love

Step-by-step explanation:

In a class there are x amount of students. z amounts of these students are ( y+1 ) years old. The rest of the students are y years old. Write an expression for the sum of all their ages. Simplify.

Answers

x = y + z

To simplify,

substitute z = y + 1

x = y + y + 1

x = 2y + 1

Evaluate the expression (3 + m)^3 , when m=2

Answers

sub the number in
(3+2)^3
=5^3
=125

Answer:

the answerrrrrrrrrrr is 27+54m+36m^2+8m^3

Write an equation in point-slope form.
a. m= -3, (-2,-1)

Answers

y+1=-3(x+2) .. hope this helps!

Find the area of the polygon.

Answers

Answer:400

Step-by-step explanation: 400

Answer:

Solution given:

diagonal 1=AC=5+5=10 units

diagonal 2=BD=4+5=8units

area of polygon (rhombus)=½*(diagonal 1*diagonal 2)

=½(10*8)=40square units

Area=40square units

what is the greatest common multiple of 96,48,84

Answers

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

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