What type of exponential function is f(x)=0.6(2.4)^x?
What is the function's percent rate of change?
Select from the drop-down menus to correctly complete each statement.
The function is an exponential CHOOSE function.
The percent rate of change of the function is CHOOSE%.
Answers
Answer:
growth
140%
Step-by-step explanation:
The function f(x) is an exponential growth function as f(x) increases when x increases.
The percent rate of change of the function f(x) is 201.6%.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 0.6 [tex](2.4)^x[/tex]
For x = 1,
f(1) = 0.6 x 2.4 = 1.44
For x = 2,
f(2) = 0.6 x 2.4² = 0.6 x 5.76 = 3.456
For x = 3,
f(3) = 0.6 x 2.4³ = 0.6 x 18.824 = 8.2944
We see that,
As the value of x increases, the value of f(x) increases.
f(x) is an exponential growth function.
Now,
The percentage rate of change of function f(x).
= (f(2) - f(1)) / (2 - 1) x 100
= (3.456 - 1.44) x 100
= 2.016 x 100
= 201.6 %
Thus,
f(x) is an exponential growth function.
f(x) percent rate of change is 201.6%
Learn more about functions here:
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Related Questions
Juan bought fruit from the grocery store. The variables below define his purchase. Juan’s bananas cost half as much as apples. Which equations can be used to model his purchase? Select each correct equation. *
Answers
Answer:
[tex]B = \frac{1}{2}A[/tex]
[tex]A = 2B[/tex]
Step-by-step explanation:
Given
Represent apple with A and Banana with B
Required
Determine the relationship between A and B
From the question, we understand that:
B costs half as much as A
This can be represented as:
[tex]B = \frac{1}{2} * A[/tex]
[tex]B = \frac{1}{2}A[/tex]
Multiply both sides by 2
[tex]2*B = \frac{1}{2}A*2[/tex]
[tex]2B = A[/tex]
[tex]A = 2B[/tex]
HELP HELP HELP HELP!!!!!
Do not guess please!!
Which is the correct answer? Show you how know.
Answers
Answer:
the answer is D.............
Answer:
AC = 6√6
Step-by-step explanation:
AC = x√3
BC = x
Knowing that 6√2 = x
6√2 x √3 = 6√6
At what point does an angle with measure 75º in standard position intersect with unit circle?
a.
(sin 75º, tan 75º)
b.
(cos 75º, tan 75º)
c.
(sin 75º, cos 75º)
d.
(cos 75º, sin 75º)
Answers
Answer:
d
Step-by-step explanation:
x=rcosθ
y=rsinθ
r=1
θ=76°
P= x/3 and x = 1/2 y. Write p in terms of y
Answers
Answer:
p = 1/2y - 3
Step-by-step explanation:
p=x/3 and x=1/2y [replace the "x" to solve]
p = (1/2y)/3
hello, i just wanted to ask if my teacher's answer in range is correct, and the given question is attached below too, thank you! it's about comparing linear functions
Answers
Answer:b nazxdfskzlcxm,. cáŋ”“azsdcfszzcx dfsgeawqrwe
Step-by-step explanation:
PLEASE HELP ME 20 POINTS!!!!!!!!!!! In the plane shown in the figure below, lines land mare cut by the transversal line n. The eight angles at the
intersections of these lines are labeled. Which of the following statements, when it is true, CANNOT always be used
to prove that lines land mare parallel?
Answers
Answer:
Option (4)
Step-by-step explanation:
Since, lines l and m are the parallel lines and line 'n' is intersecting these parallel lines,
Option (1)
∠c ≅ ∠y
True.
[Corresponding interior angles]
Option (2)
∠a ≅ ∠w
True.
[Corresponding interior angles]
Option (3)
∠b ≅ ∠x
True.
[Corresponding interior angles]
Option (4)
∠b ≅ ∠z
False.
[Since, ∠b + ∠Z = 180°, consecutive exterior angles]
Option (5)
∠a ≅ ∠z
True.
[Alternate exterior angles]
Therefore, Option (4) will be the answer.
if you can get 3 pints of raspberries for $12.00 how many pints can you get per dollar
Answers
Answer:
0.25 pints of raspberries do you get per dollar
x is. 2 less than. y
Answers
Answer:
x is 2 less than y
[tex] \huge \boxed{x = y - 2}[/tex]
At 8:00AM the temperature was 25 degrees BELOW ZERO. By noon, the temperature had RISEN by 9 degrees. What was the temperature at noon?
Please help math question
Answers
Answer:
-16 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
um.. I need help with the hardest question help me first
The triangle shown below has an area of 12 units squared.
Find x.
Answers
Answer:
4
Step-by-step explanation:
area of triangle= 1/2 x perpendicular height x base
please help anyone will mark BRAINILEST !!!!!!!!!!!!!!!!!!!!!!!!!!
if 2m - 6 = 8m then 3m = ?
A. 3
B. -1
C. -3
D. -6
Answers
Answer:
c
Step-by-step explanation:
m= -3
c option
Thanks me later
Answer:
c
Step-by-step explanation:
3m - 6 = -3......da da bop boom pow
PLEASE HELP!!!!!!!!!!!
Answers
9514 1404 393
Answer:
a. plane DEA
Step-by-step explanation:
A plane can be named by naming any 3 non-collinear points in the plane, or by using the plane's name as indicated in the drawing.
Here, points in the plane are A, D, E, F, with DEF all on the same line. So A plus any two points from the line will constitute a name for the plane. Also, this plane is identified with a script M that can be used to name the plane.
M is not an answer choice, but DEA is. So, the appropriate choice is ...
plane DEA
__
F is a point, not a plane name. C is not on the plane, so cannot be used to name it. 'k' is a line name, not a plane name.
Graph the line -4x+y=-8
You don't need to graph it, I just need the equation in a y=mx+b format
Answers
hope this helps!
have a good day :)
Answer: y = 4x - 8
Step-by-step explanation:
It’s actually quite simple, what you have to do is isolate the “y”
7 2/3
16 3/5
+ 8 1/2
______
Answers
what is the square of 2/3
Answers
Answer:
4/9
Step-by-step explanation:
or,2×2=4
or,3×3=9
or,4/9
Explain the rules for multiplication and division to convert units. How do you know when to multiply and when to divide to convert units of measurement?
Write three to four sentences.
Answers
Answer:
You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.
The basic rule is: If you need to convert from a larger unit to a smaller unit, multiply. If you need to convert from a smaller unit to a larger unit, divide. You will make the number smaller and, as you already know, division is all about making numbers smaller.
Answer: To convert larger units to smaller units, multiply. When the units are smaller, you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger, you need fewer of them to express the same measure.
Step-by-step explanation: edge 2022
Choose the A that seems to be congruent to the given one.
AADBA
OECB
BCA
EAB
Answers
Answer:
BCA
Step-by-step explanation:
assuming the shape is symmetrical, BCA would be the congruent (equal) angle
4. You go to the cafeteria for lunch and have a choice of 4 entrees, 5 sides, 5 drinks, and 4 desserts
Assuming you have one of each category, how many different lunches could you make?
Answers
Answer: 4 different lunches
Step-by-step explanation:
If you have one of each, you can't make 5 lunches because you will have 4, 5, 5, and 4
So considering you have an equal amount of each category, you can only make 4 lunches!
Hope I helped! :3
Find the first five terms for the following arithmetic sequence Tn=5n-6?
Answers
Answer:
The first five terms are -1,4,9,14 and 19.
Step-by-step explanation:
The arithmetic sequence is :
[tex]T_n=5n-6[/tex]
We need to find the first five terms of the sequence.
Put n = 1 for first term.
[tex]T_1=5(1)-6=-1[/tex]
Put n = 2 for second term.
[tex]T_2=5(2)-6=\\\\=10-6\\\\=4[/tex]
Put n = 3 for third term.
[tex]T_3=5(3)-6=\\\\=15-6\\\\=9[/tex]
Put n = 4 for fourth term.
[tex]T_4=5(4)-6=\\\\=20-6\\\\=14[/tex]
Put n = 5 for fifth term.
[tex]T_3=5(5)-6=\\\\=25-6\\\\=19[/tex]
Hence, the first five terms are -1,4,9,14 and 19.
Grace Cut three pieces of ribbon each piece was 2/5 of a foot long. How many feet of ribbon does she have in all?
Answers
0.4x3=1.2 feet
someone pls help me!! thank you!!
Answers
Final Answer is 4.5
= 4.5hours more time was used on games than on research.
8) 3(2x+1) = ?*
O 6x + 3
5x + 1
5x + 3
6x + 1
Answers
Answer:
6x + 3
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3(2x + 1)
Step 2: Expand
Distribute 3: 3(2x) + 3(1)Multiply: 6x + 3You’re welcome
25x(x + 5)
80 points I need answer ASAP
Answers
Answer:
[tex]25 {x}^{2} + 125x[/tex]
hope it helps9x - 3 + x² , when x = 4
Answers
Step-by-step explanation:
=9x-3+x²
=9×4-3+4²
=36-3+16
=49
hope it helps.
#11: Write the equation below in standard form.
*
y - 2 = -4(x - 1)
Answers
Answer:
y - 2 = -4x + 4
Step-by-step explanation:
Just simplify is out ^-^
4 x + y = 6 Should do the trick
7. Wr ite a multiplication equation that represents the question: how many 2/5s are in 9/4?* Your answer
Answers
Answer:
how many 2/5s are in 9/4? - it would be two
hope this helps
Caroline was thinking of a number. Caroline halves the number and gets 7.3. Form an equation with x from the information.
Answers
Answer:
The equation is: [tex]\frac{x}{2} = 7.3[/tex]
Step-by-step explanation:
Caroline was thinking of a number.
We are going to call this number x.
Caroline halves the number and gets 7.3.
To find half of a number, we multiply by 1/2. So
[tex]\frac{1}{2} \times x = 7.3[/tex]
[tex]\frac{x}{2} = 7.3[/tex]
what are numbers that are the same distance from 0 but in opposite directions
Answers
Answer:
Opposite numbers
Step-by-step explanation:
Opposite numbers are defined as numbers that have the same distance from zero but are on opposite sides of zero. So opposite numbers have the same absolute values. Another word for opposite numbers is additive inverses because when opposite numbers are added together the sum is always zero.
Plz help I’m bad at algebraic expressions and translating them.
Here are the expressions.
1.Four more than a number
2.The difference of a number and 9
3.Two times a number plus 6
4.The quotient of n and 6
5.2 times the sum of a number and 3
Answers
Answer:
1. 4+n
2. n-9
3. 2n + 6
4. n/6
5. 2(n+3)
Step-by-step explanation:
Grace are in $7 dollars for each car she washes she always saves $20 of her weekly earnings this week she wants to have at least $67 in spending money how many cars machine wash enter and solve any quality to represent the situation into your value as a simplified mixed number if necessary
Answers
Answer:
12 21/50 (12.42) cars
Step-by-step explanation:
20+67= 87
87÷7=12.42