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

Plz help
Rewrite the fraction in the sentence below as a percentage.
In a certain class,
23/25
of the students got problem 10 wrong on Friday's math test.

Answers

Answer: 92%

Explanation: 23/25 is same as 92/100, so we can easily know that it's 92% :D

Perform the indicated operation. (16 m2 + 40 m + 25) ÷ (4 m + 5) = _____

Answers

Answer:

hope it will help u in understanding..

if u r able to understand thn mrk it as brainliest.

What is the final elevation if a whale starts at -9m and changes 11m?

Answers

Answer:

20m

Step-by-step explanation:

what is the distance between -a and a

Answers

Answer:

2a

Step-by-step explanation:

-a + a = 0, 0 + a = a. Therefore -a + 2a = a

PLEASE HELP!!! TIMED <33 WILL GIVE BRAINLIST. Evaluate the function requested. Write your answer as a fraction in lowest terms. Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 45, side C B is 36, side C A is 27. Find sin A. a. Sine A = four-fifths c. sine A = five-fourths b. sine A = four-thirds d. sine A = three-fifths

Answers

Answer:

sin A = perpendicular /hypotenuse

=36/27=12/9=4/3

Answer:

Its C.

Step-by-step explanation:

The students in Mr. T's classes wrote down the number of minutes they spent doing chores at home over a one week period:
15, 20, 15, 30, 45, 60, 30, 15, 20, 30, 45, 60, 25, 30, 25
Find the median of the data set.
Median
type your answer...

Answers

Answer:

munanyo

Step-by-step explanation:

munanyo

(4th grade math)
Please help.

Answers

Answer:

i

Step-by-step explanation:

Answer:

last one under H

Step-by-step explanation:

you want to look at which table says +27 under the value tab since that is what the question is looking for. the table under option H has those requirements so pick that one

can someone please help me with this? (i will mark brainliest) (LMNP is rotated 180 degrees clockwise around the origin. what are the coordinates of L?)

Answers

Answer:

L's coordinates would go from being (x,y) to (-x, -y)

Step-by-step explanation:

So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)

If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L

Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)

i need help with this..​

Answers

Answer:

a = 9

Step-by-step explanation:

sin45 = a/9√2

a = 9√2(sin45)

a = 9

solve each system by substitution y=2x-1. 3x+8y=11

Answers

Since 8+3 already equals 11, x=1 and y=1

Answer:

x=1, y=1

Step-by-step explanation:

Sub y=2x-1 into 3x+8y=11

3x+8(2x-1)=11

3x+16x-8=11

19x=11+8

19x=19

x=1

Sub x=1 into y=2x-1

y=2(1)-1

y=2-1

y=1

a ball has a circumference of 9.42 cm. what is the diameter

Answers

2.998 correct me if wrong

help please ???!!?! :)asap

Answers

Answer:

the answer is c

Step-by-step explanation:

Pls help it’s due soon and I’m failing :(

Answers

Answer:

Slope is 2/3

Y-intercept is (0, 0)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = 2/3x

Answer:

Slope is 2/3

y intercept is 0

Step-by-step explanation:

5.solve for x 6. solve for x​

Answers

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

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

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

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

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

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

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

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

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

The sanctuary takes out a $12,500 loan to renovate its gift shop. At 5%
simple interest, how much would the sanctuary need to pay back in total after 10 years?

Answers

Answer:

20361.18283

Step-by-step explanation:

p(1+r/100)n

12500(1+5/100)power 10

i hope this answer helps a little bit.

oi can someone help me with this one ^{2}-12x-28=0
This is still pretty confusing for me

Answers

Answer:

Both answers should be -2 and 14.

Step-by-step explanation:

Using the quadratic formula:

[tex]x^{2}-12x-28=0\\\\x=\frac{-(-12)+-\sqrt{(-12)^2-4(1)(-28)} }{2(1)}\\\\x= \frac{12+-\sqrt{144+112} }{2}\\\\x= \frac{12+-\sqrt{256} }{2}\\\\x= \frac{12+-16 }{2}\\\\x=6+-8[/tex]

Therefore:

[tex]x_{1} =6+8=14\\x_{2}=6-8=-2[/tex]

Part A: Xavier needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the correctly written inequality to represent the number of cans, c, that Xavier must still collect (before solving)
A 64 + c ≥ 120
B 64 + c < 120
C c - 120 ≤ 64

Answers

Answer:

A

Step-by-step explanation:

He needs to collect at least 120 so if c is what he must still collect

64 +c must be greater than or equal to 120

Which shape shows the cross-section of the square pyramid when it is cut by a plane parallel to the base?

Answers

Answer:

Triangle

Step-by-step explanation:

A pyramid is a strong-solid shape that is comprised of triangles, square shapes, squares, and different polygons. Pyramids are arranged depending on the state of their base. For instance, the outline given is a square-based pyramid in light of the state of its base(which is a square). Different sorts incorporate the three-sided based pyramid, three-sided based pyramid, and other polygon-based pyramids.  

In the event that this square pyramid is cut with a plane that is corresponding to the base of the pyramid, the state of its cross-area will be a triangle since the shapes that are corresponding to the base are altogether triangles. So slicing the plane corresponding to the base is like removing one side of the triangle making up the pyramid.

Write the equation of a line perpendicular to y= -x + 4 and that passes through point (-5,-4) in slope intercept form.​

Answers

Perpendicular has reciprocal and opposite sign slope
Y = -x + 4, the slope is this is -1
Opposite sign and reciprocal: 1
Y = 1x + b
Plug in point
-4 = -5 + b, b = 1
Solution: y = x + 1

This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 20 years old?
a. 7 shoppers
b. 12 shoppers
c. 13 shoppers
d. 18 shoppers
(IF ITS NOT CLEAR SWITCH PICRTURES)
(PLEASE HELP)

Answers

I’m sure it’s 7 sorry if I’m wrong

Answer:

sorry im late but 12

Step-by-step explanation:

help help
Prove the following:
[tex] \sf\frac{ \tan( \theta) }{1 - \cot( \theta) } + \frac{ \cot( \theta) }{ 1 - \tan( \theta) } = \sec( \theta) \cdot \: \csc( \theta) + 1[/tex]
[tex]\text{note: explanation is obvious}[/tex]​

Answers

Answer:

the pictures are attachedplease see the explanation in the attached picture

Answer:

note:[tex]\theta =y[/tex]

Your answer is in the attachment.

we have

siny(cosy-siny)

taking - common from this

-siny(-cosy+siny)

-sin y(siny-cosy)

EMERGENCY HELP PLS: The distance from P to the airplane is ? m.

Answers

Answer:

distance from P to the plane  = 8957.6 m

Step-by-step explanation:

sin23 = 3500 / distance from P to the plane

distance from P to the plane  = 8957.6 m

Booker earned $1,200 over
the summer. He invested the money in
stocks. To his surprise, the stocks increased
in value to $1,335 in only 9 months. Find
the simple interest rate for the investment.

Answers

Answer:

15%

Step-by-step explanation:

1335-1200=135

9 months=9/12

135=1200 x r x 9/12

135=900r

divide each by 900

135/900       900r/900

0.15=r

0.15=15%

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

PLS USE the information given! DONT GUESS!
Write the equation of the circle.

A: (x+3)2+(y−6)2= 2

B: (x−3)2+(y+6)2= 2

C: (x+3)2+(y−6)2= 4

D: (x−3)2+(y+6)2= 4

Answers

Answer:

C. (x + 3)² + (y - 6)² = 4

Step-by-step explanation:

Get the center and radius from the graph.

Center is: (-3, 6)Radius is: 2

Use the circle formula:

(x - h)² + (y - k)² = r²

We have:

h = -3, k = 6, r = 2

Substitute and get the equation:

(x - (-3))² + (y - 6)² = 2² ⇒(x + 3)² + (y - 6)² = 4

Correct choice is C

Express the ratio as a fraction in simplest form.

18:24

1/2

2/3

3/4

6/7

Answers

18:24 is 18/24
reduce it
it’ll be 3/4

Please help with this question.

Answers

Answer:

if I have my calculations right it would be £120

HELP
What is an equation of the line that passes through the points (-6, 2) and (6, –2)?

Answers

Answer:

y=(-1/3)x

Step-by-step explanation:

y=mx+b

(x,y)

put in the first point into y=mx+b

2=m(-6)+b

then the second point is (6,-2)

put the point into y=mx+b

-2=6m+b

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

Put both equations in a system of equations

-2=6m+b

2=m(-6)+b

solve for m and b

-1/3=m and 0=b

so put that back into y=mx+b

y=(-1/3)x+0

so that is the only line that passes through both points

may i get help with 5-9 questions pls

Answers

Answer:

5) r=40 gals/min

6) r= 125 mm/hr

7) $2600

8) d = 36 in

9) h= 1176 m

Step-by-step explanation:

5) r=v/r

r= 15,600 gals ÷ 390 mins

r= 40 gals/min

6) r=v/t

r= 1000mm ÷ 8 hrs

r= 125 mm/hr

7) $4500 - $1900 = $2600

8) C = Pi x d

c/Pi =d

113 in/3.14 = d

d = 36 in

9) Formula for h

h = 2 x a/b

h = 2 (84m2/12m)

h = 2 (7056/12)

h = 2(588)

h = 1176 m

Find the unknown length x in the right triangle, to the nearest tenth.
D
26
F
Х
55
E
What is the length for x

Answers

sin55 = x/26

26sin55 = x

x = 21.298
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