An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A whole number constant could have been added to the exponential expression.
A whole number constant could have been subtracted from the exponential expression.
A whole number constant could have been added to the exponent.
A whole number constant could have been subtracted from the exponent.

Answers

Answer 1

The right choice is: A whole number constant could have been subtracted from the exponential expression.

Let be an exponential function of the form [tex]y = A\cdot e^{B\cdot x}[/tex], where [tex]A[/tex] and [tex]B[/tex] are real numbers. A horizontal asymptote exists when [tex]e^{B\cdot x} \to 0[/tex], which occurs for [tex]B\cdot x \to - \infty[/tex].

For this function, the horizontal asymptote is represented by [tex]y = 0[/tex] and to change the value of the asymptote we must add the parent function by another real number ([tex]C[/tex]), that is to say:

[tex]y = A\cdot e^{B\cdot x} + C[/tex] (1)

In this case, we must use [tex]C = -3[/tex] to obtain an horizontal asymptote of -3. Thus, the right choice is: A whole number constant could have been subtracted from the exponential expression.

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Answer 2

Answer: C. A whole number constant could have been added to the exponent.

Step-by-step explanation: On Edge!


Related Questions

1.0835 rounded to the nearest tenth

Answers

Answer:

1.1

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hours at the same rate of pay

Answers

To find this answer we have to do these steps below

1. Find the amount of money that LaShawn earns in an Hour

We have to do 60/8 which is 7.5

LaShawn earns 7.5 dollars in an hour

2. Multiply 7.5 by 35

The answer to that is 262.5 dollars

Therefore the answer is 262.5 dollars

I hope this helped, if it's wrong, blame me

Ps. Brailents would help a LOT

help ASAP please hmmmm​

Answers

Answer:

I’d go with number 2 and number 4.


3. You miss a free throw 3/10 of the time
A) likely
B) unlikely
C) certain
D) equally likely

Answers

Out of every 10 free throws, you miss only 3.

Converting to a percentage: 3/10 = .3 x 100 = 30%.

Therefore, 3/10=30%. So, you only miss 30% of the time, which means that you make the free throws 7/10 of the time or 70%.

The answer would be that you are likely to make the free throws, so answer A.) is correct.

You miss a free throw 3/10 of the time is unlikely event. Therefore, option B is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, miss a free throw 3/10 of the time.

Here, 3/10 =0.3

The total probability is always equal to unity.

If the event is “certain” to happen, the probability will be 1.

If the event is “likely” to happen, the probability will be between 1/2 and 1.

If the event has an “equal chance” to happen or not, the probability will be 1/2.

If the event is “unlikely” to happen, the probability will be between 0 and 1/2.

You miss a free throw 3/10 of the time is unlikely event.

Therefore, option B is the correct answer.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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Malik jogged 2 miles in 20 minutes.

What was his rate in miles per hour?


10 miles per hour

6 miles per hour

23 mile per hour

110 mile per hour

Answers

Answer:

6 miles per hour

Step-by-step explanation:

2 miles in 20 minutes

x miles in 60 minutes

2×60 = 20x

120 = 20x

6 = x

Answer:

6 miles per hour

Step-by-step explanation:

I took the test

The area of the triangle below is 8.91 square inches.
What is the length of the base?

Answers

Answer:

8.1

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

area/1/2xheight

The base is the length.

8.91/1/2x2.2

=8.1 inches

A water cooler holds 1536 ounces of water each water bottle holds 16 ounces how many water bottles can be filled from the water cooler

Answers

Answer:

96 water bottles

Step-by-step explanation:

1536/16 = 96

What is the ratio of cosine of C?

A 24/7

B 24/25

C 7/25

D 25/24

Answers

Answer:

Cos C = adjecent/hypotenuse

Cos C = 14/50

divide the numerator and the denominator by 2

Cos C = 7/25

The answer is C

What is the equation of the line that passes through the point (-2, 1) and has a
slope of 3/2?

Answers

Answer:

Step-by-step explanation:

Given:

x1 = -2

y1 = 1

slope (m) = 3/2

Solution:

y - y1 = m ( x - x1 )

y - 1 = 3/2 ( x - (-2) )

y - 1 = 3/2 ( x + 2 )

y - 1 = 3/2x + 3

y = 3/2x + 3 + 1

y = 3/2x + 4

Solve -(2x + 4) = 18.
7
-11
11
-7

Answers

Answer:

x=7

Step-by-step explanation:

Hope this helps!

If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?

Answers

The value of a28 given a11 = 23 and a15 = −5 is -96

Given:

a11 = 23

a15 = −5

Where,

a1 = first term

d = common difference

a11 = a + 10d = 23

a15 = a + 14d = -5

a + 10d = 23 (1)

a + 10d = 23 (1)a + 14d = -5 (2)

subtract (1) from (2) to eliminate a

14d - 10d = -5 - 23

4d = -28

d = -28 / 4

d = -7

Substitute d = -7 into (1)

a + 10d = 23 (1)

a + 10(-7) = 23

a - 70 = 23

a = 23 + 70

a = 93

So,

a28 = a + 27d

= 93 + 27(-7)

= 93 + -189

= 93 - 189

= -96

Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96

Learn more about arithmetic sequence:

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What is the GCF of 14mn, 56m^2n^3, 28m^3n^2?
a) 7m^2n^2
b) 7mn
c) 14m^3n^3
d) 14m^2n^2
e) 14mn

Answers

Answer:

e) 14mn.

Step-by-step explanation:

The GCF of 14, 56 and 28 is 14,

The GCF of m, m^2 and m^3 is m.

The GCF of n, n^2 and n^3 is n.

The answer is therefore 14mn.

if x(square) plus y(square) is 8.and the froduvt is . what are x and y?​

Answers

Given :-

x² + y² = 8Product of x and y is 4 .( say )

To Find :-

The value of x and y .

Answer :-

Here we are given that,

[tex]\red{\longrightarrow}[/tex] x² + y² = 8 .

And ,

[tex]\red{\longrightarrow}[/tex] xy = 4

[tex]\red{\longrightarrow}[/tex] y = 4/x

So that ,

[tex]\red{\longrightarrow}[/tex] x² + (4/x)² = 8

[tex]\red{\longrightarrow}[/tex] x² +16/x² = 8

[tex]\red{\longrightarrow}[/tex] x⁴ + 16 = 8x²

[tex]\red{\longrightarrow}[/tex] x⁴ - 8x² + 16 = 0

Assume k² = x⁴ and k = x²

[tex]\red{\longrightarrow}[/tex] k² - 8k + 16 = 0

[tex]\red{\longrightarrow}[/tex] k² -4k -4k +16 = 0

[tex]\red{\longrightarrow}[/tex] k(k-4) -4(k-4) = 0

[tex]\red{\longrightarrow}[/tex] (k-4)² = 0

[tex]\red{\longrightarrow}[/tex] k = 4

So ,

[tex]\red{\longrightarrow}[/tex] k = x²

[tex]\red{\longrightarrow}[/tex] 4 = x²

[tex]\red{\longrightarrow}[/tex] x = √4

[tex]\red{\longrightarrow}[/tex] x = ±2

Hence the required answer is ±2.

The values of x and y of the given function are; x = y = ±2

Roots of a Polynomial

We are given;

x² + y² = 8   -----(1)

Product of x and y = 4;

Thus; xy = 4

Now, making y the subject we have;

y = 4/x

Putting 4/x for y in eq 1 gives us;

x² + (4/x)² = 8  

x² + (16/x²) = 8

Multiply through by by x² to get;

x⁴ + 16 = 8x²

⇒ x⁴ - 8x² + 16 = 0

using online polynomial root calculator, we have x = ±2

Thus, y will also be ±2

Complete question is;

If x² + y² = 8 and the product of x and y is 4, what are x and y?

Read more about roots of a polynomial at; https://brainly.com/question/10702726

Study the system of equations.
x + 7y < 14
x – 2y < 10
Which ordered pair is a solution of this system?
(-1, 3)
(0, 3)
(1, 3) (3, 0)

Answers

Answer:

(3,0)

Step-by-step explanation:

WILL MARK BRAINLIST

What is the solution to this system of equations?

(I suggest using the elimination method by multiplying the first equation by 3.)

2x + y = 20

6x - 5y = -4

Points earned for putting your solution as an ordered pair. If work is shown, partial credit can be earned.

Answers

[tex]2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}[/tex]

Answer:

(x,y) = (6, 8); please give Brainliest if this helped you

Step-by-step explanation:

X=-2y,x-y=6 solve by substitution show all work

Answers

Answer:

y=-3

x=3

Step-by-step explanation:

x=-2y

x-y=9

substitute -2y for x in the second equation

you get:

-2y-y=9

combine like terms

-3y=9

divide by -3 on both sides

y=-3

help plzz) A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d +0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.​

Answers

Answer:

first expressions = 1.38d

second expressions = (1 + (38/100)d

Jan took her brother out to dinner. The cost of Jan’s dinner was $18.50. The cost of her brother’s dinner was $19.00. If they want to add a 15% tip for the waitress, what will be the total bill?

Answers

The total bill that would be paid by Jan is equal to $43.125.

Given the following data:

Cost of Jan’s dinner = $18.50.Cost of brother’s dinner = $19.00.Tip = 15%

To determine the total bill that would be paid by Jan:

First of all, we would calculate the total cost of their dinner as follows:

[tex]Total\;cost = 18.50 + 19.00[/tex]

Total cost = $37.50

Next, we would calculate the tip cost for the total cost of their dinner:

[tex]Tip\;cost = \frac{15}{100} \times 37.5\\\\Tip\;cost =0.15\times 37.5[/tex]

Tip cost = $5.625

For the total bill:

[tex]Total\;bill = Total\;cost + Tip\;cost\\\\Total\;bill = 37.5 + 5.625[/tex]

Total bill = $43.125.

Read more: https://brainly.com/question/11285399

Will mark brainly!! :)

If f(2) for f(x) = [tex]\frac{2}{x-1}[/tex]+6 is 8. then what is [tex]f^{-1} (8)[/tex]

Answers

Answer:

2

Explanation:

we get inverse functions by interchanging places of domain and range of the original fuction so rhe domain becomes a range and the range becomes a domain.

so if 2 belongs to the domain of the original fuction and its corresponding element in the range is 8, we simply interchange between 2 and 8 in order to solve the fuction without any subistitution in the original function.

help ASAP please again and again​

Answers

Answer:

14

Step-by-step explanation:

Can someone help me with this please!!

Answers

Step-by-step explanation:

part A

all listed features (A - F) are correct and to be selected.

part B

the average rate of change is

(f(x2) - f(x1)) / (x2 - x1)

so,

(f(0) - f(-2)) / (0 - -2) = (2 - 0) / (0 + 2) = 2/2 = 1

Suppose Earth’s axis was not tilted. What would be the effect of this on temperature variation?

Answers

Step-by-step explanation:

If earth did not tilt and orbited in an upright position around the sun, there would be minor variations in temperatures and precipitation throughout each year as Earth moves slightly closer and farther away from the sun. Basically, we would not have any seasons.

Answer:

Assuming you're saying the earth is flat in hence scenerio it would be hotter or. Colder depending how far the sun's placement is from the earth

Step-by-step explanation:

Closer to sun warmer you are

Shift in moon causes water drought or water rise

Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know how many hours (h)(h)left parenthesis, h, right parenthesis she could have kept the fire going with 9 logs. She assumes all logs are the same.
How many hours can Jovie keep the fire going with 9 logs?

Answers

Answer:

Step-by-step explanation:

101010:151515 is the same as 2:3 or 2 logs for 3 hours. Using that you can set up your equation as such:

2:3

x:9

And then multiply across:

2x9 = 3x

18/3 = x

6 = x

Jovie can keep the fire running for 6 hours with 9 logs.

Another way to do this is to divide the log numbers, 9/3 = 3, and then multiply the hours by this number, 2x3 = 6.

Hope that helps

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

A Todays soup  will be less tomatoey

Step-by-step explanation:

1
D
Question 1
Adding the complex numbers 7 - 6i and —3 + 8i is equivalent to the operation
(7 – 6) + (-3+8) i.

Answers

Yes, this identity is true. Those two operations are equivalent.

Nikita began with the figure shown.
A.
с
B
She completed the following actions to construct the angle bisector of ABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of 2ABC.
Step 3: Then, she placed the compass on point and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.

Answers

Answer:

no

Step-by-step explanation:

Answer:

Step three

Step-by-step explanation:

She placed the point on C when it was supposed to be on E

Pat is saving money to buy a bicycle. The amount he has saved is shown in the table below.





Which of the functions below describe the amount A , in dollars, Pat has saved after t weeks?

Select all that apply.


A(t)=15+15(t−1)

A(t)=30+15(t−1)

A(t)=15+15t

A(t)=15+30t

A(t)=15t

Answers

Answer:

I think A and C

Step-by-step explanation:

Katherine Johnson is best known for her work on ________.

Answers

Answer:

Pretty sure she was best known for calculating flight paths of spacecraft.

Pls Help T^T ASAP FIRT TO ANSWER GETS BRAINLIEST

Answers

Answer:

The answer would be the third one shaded circle at -1 arrow goes left.

pls help me pls help me pls help me

Answers

Answer:

C. 35

Step-by-step explanation:

First, let's put the first notebook.

1 2 3

1 2 4

1 2 5

1 2 6

1 2 7

We lose 1 step at each time.

1 3 2 is not ok because 1 2 3 is same as 1 3 2

5+4+3+2+1

Next, the other one.

4+3+2+1

3+2+1

2+1

1

5+4+3+2+1+4+3+2+1+3+2+1+2+1+1=35

35 different ways  

The answer for that is C
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