Urgent!!!

set whether each of the following equations represents a growth or decay


1. f(x)= 3[tex]^{x}[/tex]


2.f(x) = (0.25)[tex]x^{x}[/tex]


3.f(x)= [tex]\frac{2}{3x^{x} }[/tex]


4.f(x) =[tex]\frac{3}{2} x^{x}[/tex]

Answers

Answer 1

Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1,  the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,


Related Questions

The quadrtic expression x^2-2x-35 can be factored into (x+5)(x-7). Which ordered pairs represent the zeros of this expressionś related quadratic functions

Answers

Answer:

The ordered pairs of [tex]p(x) = x^{2}-2\cdot x -35[/tex] are [tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex], respectively.

Step-by-step explanation:

Let be [tex]p(x)[/tex] a quadratic expression whose two real zeros are real, a value of [tex]x[/tex] is a zero of the expression when [tex]p(x) = 0[/tex]. The factored form of the expression is represented by [tex]p(x) = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the zeroes of the polynomial.

If [tex]p(x) = x^{2}-2\cdot x -35[/tex], then the ordered pairs that represent the zeros are:

[tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex]

Quadratic equation has a leading coefficient of the second degree. The ordered pairs of the quadratic equation are (-5,0) and (7,0).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As the factors of the quadratic equation are given, therefore, equating the factors with zero in order to get the value of x.

[tex](x+5)=0\\x = -5[/tex]

[tex](x-7)=0\\x = 7[/tex]

Now, if we see the quadratic equation or the function it is written as,

[tex]y = x^2-2x-35 \\\\ x^2-2x-35 = 0[/tex]

Therefore, the value of y is 0.

Thus, the ordered pairs of the quadratic equation are (-5,0) and (7,0).

Learn more about Quadratic Equation:

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Can someone solve this problem?
(4x^2)+99-4x(16x)

Answers

[tex](4x^2)+99-4x(16x)\\=4x^2+99-64x^2\\=-60x^2+99[/tex]

Is this what you want???

To rent a party room, customers
are charged an amount equal to the number
of hours they rent plus a $60 cleaning fee.
What is the cost of a 3-hour rental?

WILL MARK BRANLIEST !!

Answers

Answer:

78

Step-by-step explanation:

im not sure but i think is 78

60+18=78

sorry

Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann payed a Total of $49.10. (actual question is on screenshot below)

Answers

There would have been 21 miles in between the airport and her home


8
z
5
+
4
y

4
z
3
+
z
8
z
5
+
4
y
-
4
z
3
+
z

Answers

Answer:

What???

Step-by-step explanation:

Cant see it?????

HELPPPP PLSSSSS!!! ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

752÷2= 376

52÷2÷ 26

376- 26= 350 adult tickets

376+26= 402 student tickets

a-15=4a-3
if u dont want spam then dont answer

Answers

Step-by-step explanation:

Simplify the equation to find the value of a.

Subtract 4a from both sides:

[tex] - 3a - 15 = - 3[/tex]

Add 15 to both sides:

[tex] - 3a = 12[/tex]

Divide each side by -3:

[tex]a = - 4[/tex]

Hollis goes outside at 2:00. He spends 48 minutes riding his bike and playing with his dog. What time is it now? Write the time in two ways.

Answers

Answer:

2:48

Step-by-step explanation:

48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though

Please Help Me Answer:
-6n - 5 = 31

Answers

Answer:

n = - 6

Step-by-step explanation:

Given

- 6n - 5 = 31 ( add 5 to both sides )

- 6n = 36 ( divide both sides by - 6 )

n = - 6

Answer:

n= -6

Step-by-step explanation:

-6n=31+5

-6n=36

n=36÷-6

n= -6

Simplify the expression using properties of exponents. 25a^-5b^-8/5a^4b

Answers

Answer: The simplification is [tex]5*a^{-9}*b^{-9}[/tex]

Step-by-step explanation:

Here we need to use the property:

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

We have the expression:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}[/tex]

We can separate it in parts with the same base, then we can rewrite this as:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}[/tex]

Using the first property we can rewrite this as:

[tex]\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}[/tex]

Point-Slope Form - Item 33745
Question 3
Select the two statements that are true about the equation y-5 = 12(3 – 4).
CLEAR
CHECK
The slope of the line is 5.
The slope of the line is 12.
One point on the line is (4, 5).
One point on the line is (5, 12).

Answers

Answer: The slope of the line is 12 and One point on the line is (4,5)

Step-by-step explanation: Point-slope form is written like this: Given a point (a, b) on a line and m being slope , y-b = m(x-a)

Keisha conducts a survey to determine how many siblings each of her classmates has. The data are shown below.

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2

What is the mean value of Keisha’s data?
A. 0.75
B. 1
C. 1.3¯
D. 2

Answers

Answer:sorry its c

Step-by-step explanation:

The mean value of Keisha’s data is 1.333333.

What is Mean?

The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),

We have the data,

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.

So, the mean value of data is

= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12

= 16/12

= 4/3

= 1.33333

Learn more about Mean here:

https://brainly.com/question/30891252

#SPJ2

A customer pay 72$ for 18 sandwiches. If each sandwich cost the same amount , what is the cost per sandwich, in dollars?

Answers

Answer:

Each sandwich costs 4$.

Step-by-step explanation:

To find the answer we will divide 72$ by 18 and we get 4$.

The number of sandwiches and the total price of sandwiches are directly proportional.

Cost of 18 sandwiches = $72

Cost of 1 sandwich = $72/18

= $4

Hence the cost of 1 sandwich is $4.

pls help i’ll mark as brainliest

Answers

Answer:

It is 39.3

Step-by-step explanation:

You find the circumference using the formula 2πr so you get 20π.

and then you multiply that by 225/360 bc 360 is how much the whole circle is and the 225 part is the part you want to solve.

So 20π*225/360 is about 39.3

PLEASE HELP ASAP PLEASE​

Answers

Answer:

288 cm^3

Step-by-step explanation:

Based on the article, which of the following is MOST important to all economic systems?
A. Economic freedom
B. Factors of production
C. Equal distribution of wealth
D. Government-owned services

Answers

It’s A because yea just it is and grabbed

its math again so sorry

Answers

Answer:

589

Step-by-step explanation:

Answer:

the answer i think is 103 centimeters

Step-by-step explanation:

Patricia buys a round dinner table. The radius of the dinner table is 6 meters.
What is the area of the table?

Answers

Answer:

113.04

π×6^2 is the solution of this

Answer:

area = 113.1 m²

Step-by-step explanation:

area = PiR²

area = (Pi)(6²) = 113.1 m²

a car accelerates from 25 km/hr to 55 km/hr in 30 seconds. what is its accelerates ?

Answers

Here's link to the answer:

tinyurl.com/wpazsebu

please help question is in the picture

Answers

Answer:

tan ∅ = 15/8

Step-by-step explanation:

tan ∅ = 15/8

Given: KW perpendicular to JO. JP perpendicular to KO. KW intersects JP=Q Prove: triangle OKW similar to triangle OJP

Answers

Answer:

OKW similar to triangle OJP using Angle Angle

Step-by-step explanation:

Given

See attachment for triangles

Required

Prove their similarity

From the attachmen:

[tex]\angle JPO = \angle OWK = 90[/tex]

Also:

[tex]\angle O = \angle O[/tex] for both triangles i.e. reflexive property

Hence:

OKW similar to triangle OJP by AA i.e. Angle Angle

Sonia Oopsmeyer, who is proud of how fast she can punch numbers into her calculator, divided a number by 40 instead of multiplying it by 40. Her answer, which was wrong, was 20. What is the correcr answer? Describe the steps you took to find the correct answer.​

Answers

Answer:

320

Step-by-step explanation:

x is the mystery number

x÷40=20

20x40=80

80=x

80x40=320

hope this helps

Why is DB equal to tan(theta)?

Answers

Step-by-step explanation:

[tex]tan = \frac{opposite}{adjacent} [/tex]

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

True or False? The measure of a tangent-chord angle is twice the measure of
the intercepted arc inside the angle.

Answers

The statement made which says the tangent - chord angle is twice the measure of the intercepted arc inside the angle is FALSE.

According to the angle theorem, the angle formed by the intersection of the chord and tangent on a circle is twice the measure of the intercepted arc.

This means that the intercepted arc is twice the measure of the angle formed and not the other way round.

Therefore, the statement is False because the intercepted arc is twice the measure of the angle formed by the intersection of the chord and the tangent on the circle.

Learn more :https://brainly.com/question/4322607

Answer:

This is False

Step-by-step explanation:

slove the evolution 10-i=3​

Answers

Answer:

ans 7

Step-by-step explanation:

given

10_i=3

10_i_3=0

7=i

i=7

express y= x² + 2x + 3 in the form of y= (x-h)² + k​

Answers

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

[tex]y=(x^2+2x+1)-1+3[/tex]

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

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

John filled his car gas tank with 21 gallons of gas. He paid $54.39. What was the price of 1 gallon

Answers

Answer:

2.59

Step-by-step explanation:

Divide $54.39 by 21.

Answer:

$2.59/gallon

Step-by-step explanation:

Given that

21 gallons = $54.39

Find the price per gallon.

21/1 = 54.39/price

price = 54.39/21

price per gallon = $2.59 (two Dollars and fifty nine cents)

____________________

#IndonesianPride - kexcvi

Will mark brainly
ASAP

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

please help! will give the crown to whoever helps

Answers

DEF is congruent to D’E’F’ because DEF is the same shape and size as D’E’F’

Find the value of x in the figure.

Answers

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

~Set up an equation and solve for x :

→ [tex] \large{ \tt{10x + 45 \degree = 75 \degree + 70 \degree}}[/tex] [ Exterior angle is always equal to the sum of two non-adjacent interior angles ]

Add the numbers : 75° & 70°

→ [tex] \large{ \tt{10x + 45 \degree = 145 \degree}}[/tex]

Since we want to get rid of the constant in the left hand side , subtract 45 from both sides :

→ [tex] \large{ \tt{10x + 45 \degree - 45 \degree= 145 \degree - 45 \degree}}[/tex]

→ [tex] \large{ \tt{10x \: \cancel{ + 45 \degree} \: \cancel{ - 45 \degree} = 100 \degree}}[/tex]

→ [tex] \large{ \tt{10x = 100 \degree}}[/tex]

~Divide both sides by 10

→ [tex] \large{ \tt{ \frac{10x}{10} = \frac{100}{10}}} \degree[/tex]

→ [tex] \large{ \tt{x = 10 \degree}}[/tex]

⟿ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer} : \underline{ \bold{ \tt{x = 10 \degree}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

☄Let me know if you have any questions regarding my answer !

♪ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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