Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements: 1. As x increases infinitely, the y-values are continually doubled for each single increase in x. 2. As x decreases infinitely, the y-values are continually halved for each single decrease in x. She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion?

Answers

Answer 1

Answer:

"as x increases infinitely, the y-values are continually doubled for each single increase in x".

Step-by-step explanation:

Given the exponential equation f(x) = 2x of which Geraldine is asked to explain the limits on the range, the expression that best explains the accuracy of Geraldine's statements and her conclusion is that "as x increases infinitely, the y-values are continually doubled for each single increase in x".

for example let y = f(x) so thet y = 2x

for every va;ues of x, y will be doubled as shown;

If x = 1

y = 2(1) = 2

If x = 2

y = 2(2) = 4

If x = 3

y = 2(3) = 6

I can be seen that the value of y doubles for all values of x hence making her first statement accurate.

The second statement 'As x decreases infinitely, the y-values are continually halved for each single decrease in x'. is not totally right because the y values may not be halved for some values of x as x increases.

Her conclusion is not also right because there are  limits within the set of real numbers on the range of this exponential function. for every value of x, y will always tend to a real value.


Related Questions

X^2+ 17x+91=0
Help please!!

Answers

Answer:

x^2+17x+91=0

a = 1; b = 17; c = +91;

Δ = b2-4ac

Δ = 172-4·1·91

Δ = -75

Delta is less than zero, so there is no solution for the equation

Step-by-step explanation:

–6 (b+3) = -8b +5 What value of b makes the equation true?​

Answers

Answer:

b = -5/2

Step-by-step explanation:

- 6 (b + 3)= - 8 + 5

- 6b - 18= - 3

- 6b= - 3 + 18

- 6b= 15

b= - 15/6

b= - 5/2

Answer:

x(x+4) = 21, or x²+4x-21 = 0

Step-by-step explanation:

Rectangle ABCD is rotated 360° around the origin.

What is the coordinate of C’?
(–4, –4)
(4, –4)
(4, 4)
(–4, 4)

Answers

Answer:

it will be the same point as C was already in as it took a complete revolution around the origin

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Trust me its D the other guy is wrong

GIVING BRAINLIEST, THANKS AND FIVE STARS TO RIGHT ANSWER! HAVE A GREAT DAY THANK YOU :D
Which of the multiplication properties is shown?

16 × 27 = 27 × 16

Zero Property of Multiplication

Identity Property of Multiplication

Commutative Property of Multiplication

Associative Property of Multiplication

Answers

Answer:

commutative property of multiplication

Step-by-step explanation:

Answer:

The correct answer is the Commutative Property of Multiplication

Step-by-step explanation:

The Zero Property of Multiplication states that the product of two nonzero elements is nonzero.

The Identity Property of Multiplication  states that the product of 1 and any number is that number.

The Commutative Property of Multiplication  states that the order in which we multiply numbers does not change the product.

The Associative Property of Multiplication  states that the way in which factors are grouped in a multiplication problem does not change the product.

0.75x+4x-5 step by step

Answers

Answer:

4.75x-5

Step-by-step explanation:

Answer:

4.75x - 5

Step-by-step explanation:

Step 1: Combine Variables

0.75x + 4x = 4.75x

Simplified - 4.75x - 5

Is the airplane’s altitude a function of time?

Answers

Answer:

No, because each output of altitude has more than one input of time. ... No, because the altitude is constant between 60 minutes and 130 minutes

Step-by-step explanation:

look at the graph

Answer: C

Step-by-step explanation:

Please help me. how do you find the slope?

Answers

Answer:

The slope of the line is 4.

Step-by-step explanation:

Remember to keep rise and run over mind. Starting at (-1,0), the line goes up four to (-1, 4) and the runs one point to (-1, 0). Hope this helps!! Please mark as helpful if it was helpful.

Slope = 4

Rise over run

Count how many points you go up

Then count how many you go to the side

You rise 4

And run 1

So 4/1

Which is 4

Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob

Answers

Answer:

0.4, incase you want it, it also is 40% and [tex]\frac{2}{5}\\[/tex].

Step-by-step explanation:

10/25 =0.4

Hope this helped :D

A half of a number added to 7 gives 19. What is the number? *

Answers

Answer:

24

Step-by-step explanation:

---------------

24÷2=12

12+7=19

---------------

Answer:2412 gives you 17. (12+7=19)And 12 is half of 24.

Please help me idk this

Answers

Answer:

Step-by-step explanation:

SoOOoooooOOOOOooo . . . lemme explain how do use a stem and leaf plot

Basically, if you have a two-digit number, the first digit goes on the right side of that line and the second digit goes on the left side. BUT YOU HAVE TO MAKE SURE THE NUMBERS ARE IN CHRONOLOGICAL ORDER!!!

Also, like the doc said SINGLE DIGIT NUMBERS ARE TO BE WRITTEN LIKE THIS (example): 0|3, which would equal 3.

SO. Step number one: put the numbers in order from least to greatest.

Step number two: put them on the stem and leaf plot. THIS WOULD BE YOUR ANSWER:

0|2                  = 2

0|3                   =3

0|4             =4

0|5                  =5

0|9                =9

1|0                 =10

1|2                  =12

1|5                   =15

1|5           =15

1|8                   =18

2|0                   =20

2|2              =22

3|5                   =35

3|8                   =38

4|1            =41

the table shows the values for the function f(x) and g(x) which function has the greater rate of change over the interval is [5,12]

a) f(x)
b) g(x)
c) the rates vary
d) the rates are equal

sorry I forgot to include the table last time​

Answers

Answer:

the awnser is C because the other awnsers don't exactly make sense

Step-by-step explanation:

just kinda mental math

Answer:

so the answer isnt c so if i had to make an educated guess its d

This graph shows a proportional relationship.
What is the constant of proportionality?

Answers

Answer:

y=40x

Step-by-step explanation:

Answer:40

Step-by-step explanation:

What's the difference between Direct and Inverse Proportion? Please explain ​

Answers

Answer: Direct means when x goes up y also goes up, inverse means when x goes up, y goes down and vice versa.

Answer:

Step-by-step explanation:

The answer is that with direct variation, the value and the quantity changes and goes according, either lower or higher, but with inverse variation, the value can go higher, and the quantity can go lower, and the quantity can go higher, but the value can be lower.

The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answers

this is how

Step-by-step explanation:

gusto ko lang magka points

If a + b = -3 and ab = -5/2

then find the quadratic equation whose roots
are a and b.

Answers

Given :

• Sum of zeroes ( a + b ) = -3

• Product of Zeroes ( ab) = -5/2

To find  :

• The quadratic equation .

Solution :

As we know that :

• Quadratic equation

=> x² - ( sum of Zeroes )x + product of zeroes =0

Put the given values :

=> x² - (-3)x + ( -5/2) = 0

=> x² + 3x -5/2 = 0

=> (2x² + 6x -5) / 2 = 0

=> 2x² + 6x -5 = 0

Hence , the quadratic equation is 2x² + 6x -5 .

I hope it will help you.

Regards.

There are ten bird baths in a park. On the first day of​ spring, the bird baths are filled. Several weeks​ later, the overall change in the water level is found. The results are shown in the table. What is the range of the​ data?
2.5
0.7
-2.2
2.1
2.3
-1.6
1.1
-2.4
2.7
1.2

Answers

Answer:

4.5

Step-by-step explanation:

The range of the​ given data would be 5.1  which is determined by the difference between the maximum value and the minimum value of data.

What is the range of data?

The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.

The given results data are as:

{ 2.5, 0.7, -2.2, 2.1, 2.3, -1.6, 1.1, -2.4, 2.7, 1.2 }

To determine the range of the​ data, we have to find the maximum value of the data and the minimum value of the data.

As per the given results,

The maximum value of data = 2.7

The minimum value of data = -2.4

So the range of the​ data would be:

⇒ the maximum value of the data - the minimum value of the data.

⇒ 2.7 - (-2.4)

⇒ 2.7 + 2.4

Apply the addition operation, and we get

⇒ 5.1

Therefore, the range of the​ given data would be 5.1.

Learn more about the range of data here:

brainly.com/question/11647487

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Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consisting of two different dishes on the menu. How many different mix-and-match plates can you get consisting of two savory dishes?

Answers

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by [tex]p_1, p_2,...,p_9[/tex], and all the sweet dishes by [tex]q_1,q_2,...,q_5[/tex].

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with [tex]q_1[/tex] from sweet plates which are [tex](q_1, p_1), (q_1, p_2), ..., (q_1,p_9).[/tex]

There are 9 plates with [tex]q_2[/tex] from sweet plates which are  [tex](q_2, p_1), (q_2, p_2), ..., (q_2,p_9).[/tex]

Similarly, there are 9 plated for each [tex]q_3, q_4[/tex] and [tex]q_5.[/tex]

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

[tex]= 9+9+9+9+9= 9\times5=45[/tex]

Answer:

45

Step-by-step explanation:

each savory dish gets one sweet dish therefore 9*5=45

i’ll mark brainlest !! (60 points )

Answers

Answer:

B and D are the answer's.

Step-by-step explanation:

Can you tell me how to divide more easily? ❤️

Answers

Answer: Either use a calculator or do mental math/ practice more often.

Answer:

look t it like multiplication then the answer is divided by one of the numbers

Step-by-step explanation:

hope this was helpful lol

HELP QUICK, WILL GIVE BRAINLIST!!!

Answers

Answer:

The flag pole is 12.8 feet tall.

Step-by-step explanation:

doing the second one hold up

Complete the square to write 16t² - 96t + 48 = 0

Answers

Answer:

first part:

(t-3)^2=6

second part:

0.55

5.45

Step-by-step explanation:

answer on edge uity

Complete square form of the equation  16t² - 96t + 48 = 0 is (t -3)² = 6.

What is a quadratic equation?

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation is,

16t² - 96t + 48 = 0

To find the square for the quadratic equation,

Simplify the quadratic equation,

16(t² - 6t + 3 ) = 0

Add 96 in whole equation,

16(t² - 6t + 3 + 6) = 16 x 6

16(t² - 6t + 9) = 96

t² - 6t + 9 = 96 /16

t² - 6t + 9 = 6

(t -3)² = 6

The required square form of the equation is (t -3)² = 6.

To know more about Quadratic equation on:

https://brainly.com/question/17177510

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Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?

Answers

Answer:

161secs

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

put this numbers from greatest to least

0.2734, 23.74, 0.0347, 0.43,0.0043​

Answers

Answer:

Step-by-step explanation:

23.74, .43, .2734, .0347, .0043

0.0043
0.0347
0.2734
0.43
23.74

please help me with this system of equations problem before I go insane the preferable solving methods would be through substitution or elimination

Answers

Answer:

x=8, y=0, z=-3

Step-by-step explanation:

Preferable is substitution because there is less room for mistakes but its long so here goes bare with me on this one :D

Name your equations

4x+2y-5z=47 (first eq)

x-2y+6z=-10 (second eq)

9x-7y-z=75 (third eq)

Lets take the easiest eq to isolate one variable lets take 2nd eq

[tex]x-2y+6z=-10\\x=2y-6z-10[/tex]

now this becomes our fourth eq

now again take the easiest eq to isolate another variable lets take the 3rd eq

[tex]9x-7y-z=75\\9x-7y-75=z[/tex]

now this becomes our fifth eq

and now plug in our fifth eq in the fourth eq because we now have z in terms of x and y

[tex]x=2y-6z-10\\x=2y-6(9x-7y-75)-10\\x=2y-54x+42y+450-10\\x+54x=2y+42y+450-10\\55x=44y+440\\\\x=\frac{44y+440}{55}[/tex]

and now we got our sixth equation which is x only in terms of y.

now we plug in our sixth equation in our fifth eq to get z in terms of y only

[tex]z=9x-7y-75\\\\z=9(\frac{44y+440}{55}) -7y-75\\z=\frac{396y+3960}{55} -7y-75\\z=\frac{396y+3960-385y-4125}{55} \\z=\frac{11y-165}{55}[/tex]

now we have our seventh eq and x &z in terms of just one variable y , now we put equation of z and x which is our sixth eq and seventh eq in our first eq.

[tex]4x+2y-5z=47\\\\4(\frac{44y+440}{55})+2y-5(\frac{11y-165}{55}) =47\\\\\frac{176y+1760}{55} +2y-47=\frac{11y-165}{11} \\\\\frac{176y+1760}{55} -\frac{11y-165}{11} -47=-2y\\\\\frac{176y+1760}{55}-(y-15) -47=-2y\\\\\frac{176y+1760}{55} -y-32=-2y\\\\\\frac{176y+1760}{55}=-2y+y+32 \\\\176y+1760=55(-y+32)\\176y+1760=-55y+1760\\176y-55y=1760-1760\\121y=0\\y=0[/tex]

and now finally we got y=0 now we need the value of x and z, put the value of y=0 in our seventh eq (z equation)

[tex]z=\frac{11y-165}{55} \\\\z=\frac{11(0)-165}{55} \\\\z=\frac{-165}{55}\\\\z=-3[/tex]

and now we put the value of y=0 in our sixth eq (x equation)

[tex]x=\frac{44y+440}{55} \\\\x=\frac{44(0)+440}{55} \\\\x=\frac{440}{55} \\\\x=8[/tex]

and now we got all the three values and hence the solution of the system of equation is

x=8, y=0, z=-3

Each serving of a cereal is 80 calories. Which expression can be used to find the number of calories in 3 servings?
80 times 3
80 divided by 3
3 divided by 80
80 minus 3

Answers

Answer: 80 times 3

Step-by-step explanation: Each serving is 80 calories so multiply to get the total.

Answer:

A

Step-by-step explanation:

80 x 3

I WILL GIVE BRAINLIEST! Which table of values corresponds to the graph below?

Answers

Answer:

the very bottom graph

Step-by-step explanation:

all of the points listed on the table match the graph

x values is found on the x axis (left to right)

y values are found on the y axis (up and down)

Answer:

see below

Step-by-step explanation:

From graph, points (2, 0) and (0, -2).

slope m = (y₂ - y₁) / (x₂ - x₁)

              = (-2 - 0) / (0 - 2)

              = -2 / -2

              = 1

y-intercept using anyone of the above points and m:

y = mx + b

0 = 1(2) + b

0 = 2 + b

b = -2

Equation of line using m and b:

y = 1x - 2

Use y = 1x - 2 to check the points given in tables:

All points in below table seems to work.

(0, -2)    

-2 = 0 - 2

-2 = -2

(1, -1)

-1 = 1 - 2

-1 = -1

(2, 0)

0 = 2 - 2

0 = 0

(4,2)

2 = 4 - 2

2 = 2

how do i do this
10 x 10 x 10 =
10 squared =
10 6

Answers

Answer:

Well 10 to the 6th power right?

Step-by-step explanation:

well u multiply 10x10x10x10x10x10

1000000

im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc

1000000 that is your answer

I already know that the answer is 190 but why

Answers

Answer:

You know that the total number of persons is 20 , so every person shakes hands with 19 persons.. It then mean that, there are 20×19=380 handshakes. But by every handshake two persons are involved. Therefore, 380 is the result of double-counting, which gives 190 handshakes.

Step-by-step explanation:

Hope this helps

You are on a road trip and need to travel 300 km. The speed limit is 80 km/hr. How
long will it take you to make the trip?

Answers

Answer:

3 3/4 or 3.75 hours.

Step-by-step explanation:

If you need to travel 300 km, assuming you are going at the speed limit, you take the total amount and divide it by that.

300 / 80 = 3.75 hours

Please help with this and explain your answer and how you got it.

Answers

Answer:

V=48

Step-by-step explanation:

V=whl

V=2*3*8

V=48

Hope this helps! :) Plz mark as brainliest

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