Mathematics High School

Which of the following equations represent exponential growth functions? Choose all that apply.
a) f (x)=4^x
b) f (x)=(1/4)^-x
c) f (x)=(2/3)^x
d) f (x)= (2.3)^x
e) f (x)=(.8)^x

Answers

Answer 1

Option:-

a) f(x) = 4^x is applicable

b) f(x) ={ (1/4)^-x = 4^x }is applicable

c.) f(x) = (2/3)^x is not applicable

d.) f(x) = (2.3)^x is applicable

e.) f(x) = (.8)^x is not applicable

Answer 2

Options (a), (b) and (d) are exponential growth functions.

What is Exponential function?

An exponential decay is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier which is less than 1.

By the Exponential decay form,

An exponential decay is in the form: y = abˣ

(a) f (x)=4ˣ is applicable as 4>1

(b) f (x)=(1/4)⁻ˣ is applicable as (1/4)-1=4>1

(c)  f (x)=(2/3)ˣ is not applicable because 2/3<1

d) f (x)= (2.3)ˣ is applicable as 2.3>1

e) f (x)=(.8)ˣ is not applicable, 0.8<1.

So options (a), (b) and (d) are applicable for exponential growth functions.

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Related Questions

What is an equation of the line that passes through the points (6, 8)(6,8) and (-3, 2)(−3,2)?

Answers

Answer:

Hi how are you doing today Jasmine

Please help this is due

Answers

Answer:

f(6) = 0

x = 3 when f(x) = 2

Step-by-step explanation:

f(6) = -2/3(6) + 4

f(6) = -4 + 4

f(6) = 0

2 = -2/3x + 4

-2 = -2/3x

-2x = -6

x = 3

The ratio of boys to girls in a class is 2:3
Ben says there are 28 students in the class.

(a) Explain why Ben must be wrong

(b) Write down a possible number of students in the class

Answers

Step-by-step explanation:

A: adding together 2 and 3 a bunch of times (2+3+2+3+2+3 etc) does not equal 28.

A possible answer could be 27 students.

The requried,
(a) Ben is wrong because the number of students is incorrect,
(b) The required possible number would be either 25 or 30.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,
As mentioned in the question, the ratio of boys to girls in a class is 2:3

Ben says there are 28 students in the class.


So total of the ratio = 2 + 3 = 5
Now calculate number of boys = 2 / 5 [28] = 7.2 [this is not possible]
So the total number of students must be that number which is divisible by 5 and nearby 28, so the number would be 25 or 30.

Thus, the requried,
(a) Ben is wrong because the number of students is incorrect,
(b) The required possible number would be either 25 or 30.

Learn more about Ratio here:

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What is 4w -7 = 6w + 31 ?

Answers

Answer:

w = -19

Step-by-step explanation:

Move the 6w to the left and 7 to the right.

4w-6w=31+7

Combine like terms

-2w=38

Divide by negative 2.

w=-19

4w - 6w = 31 + 7
-2w = 38
-2w/-2 = 38/-2
w = -19

im putting all the questions in one to make it easier

Answers

I'll focus on problem 19 and problem 22

============================================================

Problem 19

Answers:

x = 87x+15 = 102

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

Explanation:

The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.

Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.

x+15 = 102

x = 102-15

x = 87

Which leads to

x+15 = 87+15 = 102

============================================================

Problem 22

Answer: y = 27

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

Explanation:

We have a pair of alternate exterior angles. They are congruent due to the parallel lines.

Let's solve for y.

7y-55 = 3y+53

7y - 3y = 53+55

4y = 108

y = 108/4

y = 27

Simplify the expression: (7x + 4)(2) = ​

Answers

Answer:

14x+8

Step-by-step explanation:

-6, 12 ,-24 ,48 what would be the next term in this sequence (help ASAP please )

Answers

the next term would be -96 ! your just adding the term twice and alternating it by making it a negative and a positive

WILL MARK YOU BRAINLIEST SHOW WORK PLZ

Answers

Answer:

5) because ABCD is a rectangle => AC = BD

<=> 4x - 5 = 3x - 1

<=> 4x - 3x = -1 + 5

<=> x = 4

6) because EFGH is a rhombus

=> HF is the bisector of the angle EHG

=> EHF = GHF

<=> 3x - 15 = 2x + 9

<=> x = 24

Oliver thinks of a number.
He multiplies this number by 4.
He then subtracts 5.
The result is 23.
What number did Oliver think of?

Answers

Answer:

7

Step-by-step explanation:

Add 5 to 23 which gives you 28

Then divide 28 by 4 and you get 7

Hope this helps!

Given the graph of the function F(x) below, what happens to F(x) when x is a
very small positive number?
A. FX) is a very small positive number
B. F(x) is a negative number with a large absolute value
C. F(x) is a very large positive number
D. F(x) is a negative number with a small absolute value

Answers

Answer:

B. F(x) is a negative number with a large absolute value.

Step-by-step explanation:

The Y and X axes in this case are asymptotes, it means that the function will never touch them. When x is negative and is so small, the function tends to negative infinity, because the function try to cut it but it will never happen.

pls answer i need the answer

Answers

Answer:

(-2,5)

Step-by-step explanation:

4x+4y=12

6x-4y=-32

10x=-20

x=-2

4(-2)+4y=12

-8+4y=12

4y=20

y=5

The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges

Answers

Answer:

$1.38

Step-by-step explanation:

The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges

The cost difference is calculated as:

Cost of 6lbs of oranges - Cost of 4lbs of oranges

Cost of 6lbs of oranges = $6.18

Cost of 4lbs of oranges = $4.80

Hence,

= $6.18 - $4.80

= $1.38

Five students each wrote an expression to represent the perimeter of the given rectangle. Terrell wrote this correct expression: (2x + 2x) + (5x + 5x) + (1 + 1). Circle the name of the student who wrote an incorrect expression. Explain why the expression is incorrect. Anya: 2x + 2x + 5x + 1 + 5x + 1 Katrin: 2(5x + 1) + 2x Luis 2(2x) + 2(5x + 1) Steve: 1 + 1 + x(2 + 2 + 5 + 5)​

Answers

Answer:

Luis wrote an incorrect expression.

Step-by-step explanation:

As per Terrell, the correct expression is (2x+2x) + (5x+5x) + (1+1) which is equal to 12x + 2

For you who got incorrect answer, the answer if you simplified it must be 12x + 2. Let's check:

Anya     2x+2x+5x+1+5x+1 =

            12x + 2 [CORRECT]

Katrin    2(5x+1) + 2x

             10x+2+2x

             12x + 2 [CORRECT]

Luis       2(2x) + 2(5x+1)

             4x+10x+2

             14x + 2 [INCORRECT]

Steve     1+1+ x(2+2+5+5)

              2+ x(12)

             12x + 2 [CORRECT]

Find the next three terms of the following arithmetic sequence
Please help

Answers

Answer:

the 2nd option

Step-by-step explanation:

8 dinosaurs in the valley eat meat and 40 dinosaurs in the valley eat vegetation. What is the unit rate of dinosaurs that eat vegetation to the total number of meat eating dinosaurs in the valley?

Answers

Answer:

5

Step-by-step explanation:

8 dinosaurs in the valley eat meat

40 eat vegetation

Therefore the unit rate of dinosaurs that eat vegetation to those that eat meat can be calculated as follows

= 40/8

= 5

Hi everyone,Can someone please help me please please I really really need help please answer it correct

Answers

Answer:

0<x<3

4<x<6

9<x<10

..........

Answer:

Hope it helps you

Step-by-step explanation:

Decreasing: A function is decreasing, if as x increases (reading from left to right), y decreases. In plain English, as you look at the graph, from left to right, the graph goes down-hill. The graph has a negative slope

So in given graph ,

Decreasing interval are ,

1)   9<x<10

2)  0<x<3

I done it using above definition you also check it from any other source and confirm it ..

Katie answered 2/3 of a 15 problem math correctly. How many questions did Katie answer incorrectly?

Answers

2/3 of 15 is 10:)
so i believe she got 5 incorrect

On the morning of the sale, the store donated 50 pairs of shoes to a homeless shelter. Then they sold 64% of their remaining inventory during the sale. If the store had 288 pairs after the donation and the sale, how many pairs of shoes did they have at the start? how many shoes did they have at the start?

Answers

Answer:

850.

Step-by-step explanation:

Let the number at the start be x shoes. Then:

x - 50 - 0.64(x - 50) = 288

x - 0.64x - 50 + 32 = 288

0.36x = 288 + 50 - 32

0.36x = 306

x = 306/0.36 =  850.

Answer:

850 is the answer to the question

4(x-3)=20
GUYSS I NEED HELP

Answers

4x+12=20
-12 -12
4x=8
4 4
X=2

Step-by-step explanation:

simplify the bracket

4x-12=20

4x=20+12

4x=32

X=8

please please help, if you could show work too that would be amazing!

Answers

Answer:x=75

Step-by-step explanation:

They are opposite of eachother so they are equal to eachother

2x= 130

x= 75

HOW DO YOU WRITE THIS IN A SYSTEM OF EQUATIONS?

Answers

Answer:

2x+105=-3x+130

Can someone please help me with this?

Answers

it would be the second option

Rewrite 48+40 using the distributive property with the greatest common factor located in front of the parentheses

Answers

Answer:88

Step-by-step explanation:

why is math your favorite subject
​

Answers

Answer:

its nice

Step-by-step explanation:

Answer:

It's easier for me than other subjects. Have an amazing rest of ur day.

Step-by-step explanation:

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