Determine whether each function represents exponential growth or decay. Select the correct option for each function. PLEASE HELP ASAP
Answers
Answer: f(x)= (3/4)^x/2 —> Decay
f(x)=(4/3)^x —> Growth
f(x)=(5/6)^3x —> Decay
f(x)=(8/3)^x/3 —> Growth
f(x)=(3/2)^2x —> Growth
Step-by-step explanation: When you graph them one by one, for example, the first equation (f(x)= (3/4)^x/2), the graph would have an asymptote on the right side, meaning that it’s decaying.
Straight up explanation: if the asymptote on the graph is on the left then it is growing, but if the asymptote is on the right then it’s decaying.
Asymptote is the “line” that almost touches the x axis.
The exponential decay and growth equations are
a) f ( x ) = ( 3/4 )^x/2 is a decay equation
b) f ( x ) = ( 4/3 )ˣ is a growth equation
c) f ( x ) = ( 5/6 )³ˣ is a decay equation
d) f ( x ) = ( 8/3 )^x/3 is a growth equation
e) f ( x ) = ( 3/2 )²ˣ is a growth equation
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the equation be represented as A
Now , the value of A is
when r is the growth rate when r>0 or decay rate when r<0, in percent
So , when r > 0 ( it is growth ) and r < 0 ( it is decay )
a) f ( x ) = ( 3/4 )^x/2 is a decay equation
b) f ( x ) = ( 4/3 )ˣ is a growth equation
c) f ( x ) = ( 5/6 )³ˣ is a decay equation
d) f ( x ) = ( 8/3 )^x/3 is a growth equation
e) f ( x ) = ( 3/2 )²ˣ is a growth equation
Hence , the exponential equation is solved
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Related Questions
Lisa is 4 years older than Thomas. Carla is twice as old as Lisa. The sum
of their ages is 56. How old is Lisa?
Answers
Answer:
Lisa is 24.
Step-by-step explanation:
56/2=28
28-4-thomas=24-lisa \
Carla is 28, Thomas is 20, and Lisa is 24. Hope this helps! :)
The sum of two numbers is 48.if the smaller number is subtracted from the larger the difference is 12 find the number
Answers
Answer:
18
Step-by-step explanation:
30 + 18 = 48
30 - 18 = 12
Both true, so our solution is correct.
The value of the larger number is 30 and the value of the smaller number is 18.
What is a number system?A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.
Given that the sum of two numbers is 48. if the smaller number is subtracted from the larger the difference is 12. The two numbers will be calculated as,
x + y = 48
x - y = 12
________
2x = 60
x = 30
y = 30 - 12
y = 18
Therefore, the value of the larger number is 30 and the value of the smaller number is 18.
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7th grade math! Please help!
Answers
15) k=15
16) t=7
17) c=12
18) d=7
19) d=3
20) r=5
21) x=4
pls mark me branliest !!
I need help pleaseeee
Answers
Answer:
Option A
Step-by-step explanation:
Thisbis because when two of them are hanged on the same side it means that it's addition. (Addition of weight)
1. Explain the differences between expressions and equations.
few sentences pls
Answers
Answer:
An expression is written as a phrase and an equation is written as a statement. Equations are written as sentences with capitalization and punctuation. Expressions are written as phrases with no capitalization or punctuation. An equation has an equals sign and an expression does not.
Step-by-step explanation:
is h(x) = 1^x an exponential function?
Answers
Answer:
I believe so as for their is an exponent and x stand for y!!!!!!
In which quadrant does θ lie if the following statements are true: cosθ>0 and sinθ>0
Answers
Answer:
First quadrant
Step-by-step explanation:
cosθ > 0 in first/ fourth quadrants
sinθ > 0 in the first/ second quadrants
sinθ and cosθ are both > 0 in the first quadrant
Then θ lies in the first quadrant
A karate instructor earns $165 for teaching 3 classes. The instructor receives a 10% raise. How much the instructor earns, in dollars, per class after the raise?
A. $60.5
B. $50.5
C. $49.5
D. $181.5
Answers
Answer:
A $60.50
Step-by-step explanation:
165 divided 3 = $55.00 per class
55.00 X 10% = 5.50 per class
55.00 + 5.50 = 60.50
Bill's favorite breakfast cereal is available in four different sizes. Which is the best buy?
15-ounce box for $4,20
B 10-ounce box for $3.10
© 22-ounce box for $5.72
18-ounce box for $4.50
Answers
Answer:
The best deal is the 18 ounce box
Answer:
the 18 ounce box is cheapest per ounce
Step-by-step explanation:
1. .28per ounce
2. .31per ounce
3. . 26per ounce
4. .25per ounce
This graph shows a relationship between x and y.
Select from the drop-down menu to correctly complete the statement.
The dependent variable, y, is always
A one-half B 2 times C one more than D 2 more than the independent variable, x. PLEASE ANSWER FAST AND BY TODAY I REALLY NEED HELP I WILL BE GIVING OUT BRANLIEST HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
x 3
Step-by-step explanation
Answer:
c, 1 more than the independent variable.
Step-by-step explanation:
c, 1 more than the independent variable b/c when x is 1, y is 2, it only has a difference of 1
Find the Perimeter & Area for the following circle.
use 3.14 for Pi
Round to the tenths place
Answers
Answer:
A = 28.3 cubic inches; P = 20.1 inches
Step-by-step explanation:
Looks like 3/4 of a full circle
The area of a circle is calculated with the formula: [tex]\pi r^{2}[/tex]
Since the problem wants pi = 3.14, we use 3.14 instead of pi in the equation.
The radius is given as 3 inches
Area = [tex]3.14*3^{2} = 3.14*9 = 28.26[/tex] cubic inches = 28.3 cubic inches
------------------------
Perimeter is calculated with [tex]2\pi r[/tex].
But this is 3/4 of a circle with an additional two 3-inch sides
Perimeter = [tex]\frac{3}{4}*2\pi r[/tex] + 2(3) = 14.1 + 6 = 20.1 inches
Answer:
Step-by-step explanation:
If cost price =x
If selling price =242
If profit =z
If profit percent =10%
Find the value of z and x
Answers
z = 22
Explanation:
SP = selling price
CP = cost price
Profit % = (SP - CP) / CP x 100%
10% = (242 - x) / x • 100%
10/100 = (242 - x)/x • 100/100
1/10 = (242 - x)/x • 1
1/10 • x = 242 - x
x/10 = 242 - x
x/10 • 10 = (242 - x) • 10
x = 2420 - 10x
x + 10x = 2420
11x = 2420
x = 2420/11
x = 220
Profit = SP - CP
z = 242 - x
z = 242 - 220
z = 22
Answer:
x= 217,6z=24,2Step-by-step explanation:
Solve each system of equations. 2x + 3y = 3 3x + 5y = 6 o (4,1) Ob (0,1) (-3,3) Od (3-4)
Answers
Answer:
x = 3 n, y = -2 n, n element Z
Step-by-step explanation:
Please solve I need to get this done like ASAP I will have more questions by the way
Answers
Answer:
I believe its a triangular prism
Answer:
Triangular Prism
Step-by-step explanation:
Fold the shape at the dotted lines and you will see what shape it is. It's hard to explain but look up Triangular Prism and it will make sense.
Help please
I need the correct answer to this pic
I will mark you brainliest for this correct answer
Answers
Answer:
the answer is B hope this helps you out
please help it’s urgent! it’s tangent lines
Answers
[BRAINLIEST GIVEAWAY] To join answer this question
The following octagon is formed by removing four congruent triangles from a rectangle. What is the area of the rectangle?
A-C:
12 cm2
36 cm2
48 cm2
60 cm2
Answers
Which graphs best describes the function y = 4x
Answers
Answer:
J
Step-by-step explanation:
check by multiplying each x value by 4
Answer:
D (J)
Step-by-step explanation:
y=4x is basically multiplying the x value by 4; 10*4 is 40, 20*4 is 80, and so on.
P varies inversely with x. If P = 7 when x = 8, find the value of P when x = 7. A. 0.125 B. 1 C. 7 D. 8
Answers
Step-by-step explanation:
P = 8
Step-by-step explanation:
Given that P varies inversely with x then the equation relating them is
P = \frac{k}{x} ← k is the constant of variation
To find k use the condition P = 7 when x = 8 , then
7 = \frac{k}{8} ( multiply both sides by 8 )
56 = k
P = \frac{56}{x} ← equation of variation
When x = 7 , then
P = \frac{56}{7} = 8
What is the length of S?
Answers
are 4x^5 and -13x^5 like terms ?
Answers
Answer:
yes
Step-by-step explanation:
like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
what do I do and how do I do it ???
Answers
Answer:
D
Step-by-step explanation:
I NEED HELP WITH THIS FAST
Answers
Answer:
1a) 24,750
1b) 1.868
2a) 6870
2b) 15,371
3a) 1410
3b) 25,400
4a) 9709
4b) 1596
5a) 0.272
5b) 0.080
6a) 19,943
6b) 1.779
7a) 1.340
7b) 2986
8a) 5.618
8b) 22,252
9a) 18.873
9b) 0.37
10a) 14.981
10b) 2400
please helpp -7 over -2 =??
Answers
Answer:
-7/-2 = 7/2 = 3.5
hope this helps
I NEED HELP ASAP!!!!!
please help out;
What is the surface area of this triangular prism?
Answers
Answer:
Step-by-step explanation:
14x3x2=84
(12x10x2)/2=12x10=120
120+84=204
Answer:
SA=724 mm^2
Step-by-step explanation:
14*13==182,*2=364
14*10=140
10*12=120, *1/2=60, *2=120
364+140+120=724
SA=724 mm^2
Make A the subject of the formula
r = squareroot A/3
Answers
Answer:
3 x [tex]r^{2}[/tex]
Step-by-step explanation:
I need help!
How do you know if an equation is exponential growth or exponential decay or not an exponential equation? For example, what is y=2(0.5)^-the exponent is x
Answers
Answer:
If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay
Step-by-step explanation:
small baby answer
What is the missing term?
Answers
=20x^2
hope it helps
someone pls help me with this
ITS SO CONFUSINGNSKDN
Answers
Answer:
y=67.7 Degrees
Step-by-step explanation:
You're given the opposite and adjacent sides to angle Y, so we use Tan to find the angle:
Tan(y)= 100/41
We then inverse tan to isolate y
y=tan^-1 100/41
y=67.7 Degrees
Note: Use a calculate to find the final answer
(x+y)² + 2(x+ y)(x- y) + (x– y)²
Answers
Answer:
2x(x+y)(x-y)
Step-by-step explanation:
Given the expression;
(x+y)² + 2(x+ y)(x- y) + (x– y)²
Factorize
(x+y)² + (x+ y)(x- y) + (x+ y)(x- y) + (x– y)²
= (x+y)[x+y+(x-y)] +(x-y)[(x+y)+(x-y)]
= (x+y)(x-y)(x+y+(x-y))
= (x+y)(x-y)(x+y+x-y)
= (x+y)(x-y)(2x)
hence the expanded form is 2x(x+y)(x-y)