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:
https://brainly.com/question/28533782
#SPJ2
Related Questions
Find the value of each trigonometric ratio.
Answers
Answer: C
Step-by-step explanation:
u have insta
Answer:
sine = opposite / hypotenuse
sine C = 8 / 15
sine C = .53333333333333
Step-by-step explanation:
what is the slope of a vertical line?
Answers
Answer:
undefined
Step-by-step explanation:
how much more is subtraction or addition JUST ASKING OUT OF CURIOSTY
Answers
Answer:
subtraction is less
Step-by-step explanation:
What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?
15
52
4
5
Answers
Answer:
Multiply both sides by [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}x = 10[/tex]
Required
Get an equivalent of [tex]x = 25[/tex]
To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]
[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]
[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]
[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]
[tex]x = 10 * \frac{5}{2}[/tex]
[tex]x =\frac{10*5}{2}[/tex]
[tex]x =\frac{50}{2}[/tex]
[tex]x = 25[/tex]
Find the length of the radius of the circle.
A)
2 inches
B
B)
3 inches
)
6 inches
D)
8.5 inches
Answers
Answer:
C) 6 inches
Step-by-step explanation:
(√72)² = x² + x²
72 = 2x²
72/2 = x²
36 = x²
√36 = √x²
6 = x
x = 6 inches
Answer:
By Pythagoras theorem, we get
[tex] {x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}[/tex]
C) 6 inches is the right answer.A line has a slope of 5 and passes through the point (1, 0). What is its equation in
slope-intercept form?
Answers
Answer:
y=5x-5
Step-by-step explanation:
find y-intercept:
0=1(5)+b
b=-5
Answer:
y = 5x - 5
Step-by-step explanation:
y = mx + b
m = 5
b = ?
Plug in the coordinates
0 = 5(1) + b
0 = 5 + b
-5 = b
Finally:
y = 5x - 5
There were 4 students at the football game. They had 6 sodas to share
equally. How much soda did each child get?
Answers
Answer:
1.5
Step-by-step explanation:
6/4=3/2
3/2=1 1/2
or
1.5
Answer:
1.5
Step-by-step explanation:
3.5 ÷ 2.29 round to nearest tenth
Answers
Answer:
1.5
Step-by-step explanation:
Thats rounded.
Elsie bought a video game for 85$. if the store charges 170% of its cost for the game, how much is the store's profit?
Answers
Answer: $59.5
170/100 * 85 = 144.5
144.5 - 85 = 59.5
If that is wrong my next guess is $144.50
Please help lol and thank u
Answers
Step-by-step explanation:
The picture shows us that the shape is a square.
To find the area of a square you would use the formula s^2
s= 8ft
8ft^2 = 64ft^2
with area you would need to use the unit ft^2
I hope this helps!!!
Answer: DDDDDDD
Step-by-step explanation: The formula is width x height, so we can use the expression 8 x 8 assuming this is perfectly square. 8 x 8 is 64 square units
Jeans are normally $60. They are currently priced 20% off. What would be the final price of the jeans?
Answers
Answer:
The final price of the jeans would be $48.
Find the number of faces, edges, and vertices of this shape.
Answers
Edges: 12
Vertices: 7
Vertices:12
Edges:7
Help me, save my life.
Answers
On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of elevation is 5 degrees from the victim, at what vertical distance did the sniper shoot from
Answers
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
Quadrilateral EFGH was dilated and rotated 90° clockwise about the origin to form quadrilateral EFGH! Which part of quadrilateral EFG'H'is congruent to quadrilateral EFGH?
Answers
Answer: It’s angle measures
Step-by-step explanation: iready
4. a. Write a story to represent the equation 15 ÷ 1/9 : _______. Solve the equation and complete the story.
b. What multiplication equation shows that your division is correct?_________________________. This is due tomorrow. I need your help.
Answers
Answer:
4555
Step-by-step explanation:
32233x222213456765x345665434565
What's the Answer for (-8 ) – (- 8 ) =
Answers
Find the equivalent expression.
3+5x−4y+2y−8x
Answers
Answer:
-3x - 2y + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3 + 5x - 4y + 2y - 8x
Step 2: Simplify
Combine like terms (x): -3x - 4y + 2y + 3Combine like terms (y): -3x - 2y + 3Answer:
3+5x−4y+2y−8x is the equivalent ti 3-3x-2y
Step-by-step explanation:
3+5x−4y+2y−8x
3+5x-8x-4y+2y
3-3x-2y
"HOT PIZZA" is offering a 20% discount on all its pizza
Ali orders a pizza for the reduced price of £5.60
What was the original price of the pizza?
Answers
Answer: the answer is 7
Step-by-step explanation:
first you divide the price by four then add a quarter to the original amount. gl
1 7/8 times 4/5 simplified!!!
Answers
Answer:
1.5
Step-by-step explanation:
Dan makes several smoothies using 3 4/5 cups blueberries for every 2 2/3 cups of strawberries. Using these ratios, how many cups of blueberries will he need for 5 1/3 cups of strawberries?
Answers
Answer:7 3/5
Step-by-step explanation: 3 4/5 blueberries = 2 2/3 strawberries
? blueberries =5 1/3 strawberries
do 3 4/5 times 5 1/3 which gives you 20 4/15.Now divide 20 4/15 by 2 2/3 which gives you 7 72/120 and you can simplify to 7 3/5.
Hope it helps . :)
Answer:
I made this so you can give the other guy brainlyeist.
Step-by-step explanation:
The points (1, 4) and (0, 2) fall on a particular line. What is its equation in slope-intercept
form?
Answers
that is your slope intercept equations
What are the convection currents in Earth's mantle believed to be responsible for?
ocean currents
climatic changes
uneven surface heating
tectonic plate movements
Answers
Answer:
tectonic plate movements
Step-by-step explanation:
4. (LT 1.1) The perimeter of the rectangle below is 40 feet. Its length and width are
given in terms of x. Find the length and width of the rectangle.
3x
2x + 5
Answers
Answer:
Length, L = 9 feet.
Width, W = 11 feet.
Step-by-step explanation:
Given the following data;
Perimeter = 40 feet
Length = 3x
Width = 2x + 5
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
40 = 2(3x + 2x +5)
40 = 2(5x + 5)
40 = 10x + 10
10x = 40 - 10
10x = 30
x = 30/10
x = 3
Now, to find the length;
Length, L = 3x
Substituting into the equation, we have;
Length, L = 3*3
Length, L = 9 feet
To find the width;
Width, W = 2x + 5
Substituting into the equation, we have;
Width, W = 2(3) + 5
Width = 6 + 5
Width, W = 11 feet.
Pls help I’ll brainlest grades close today
Answers
Answer:
12.5%
Step-by-step explanation:
[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100
[50 - 30] ÷ [ 50 + 30] ÷ 2 × 100
20 ÷ 80 ÷ 2 × 100
0.25 ÷ 2 × 100
0.125 × 100
12.5 %
Answer:
12.5%
!!!!!!!!
Harris runs 12 miles in 2 hours at a steady pace. At this same pace, how far can he run in 45 minutes?
Answers
Answer:
4,5 miles
Step-by-step explanation:
60*2=120
120/12=10
1 mile every 10 minutes
45/10=4,5
h = 4x and x= 3t write h in terms of t
Answers
Answer:
h = 12t
Step-by-step explanation:
Its given that x = 3t.
Also its given that h = 4x
Substituting the value of x gives =
h = 4(3t) = 4 × 3t = 12t
Ana played 4444 rounds of golf and then played her lowest round of golf with a score of 80808080.
The scores of the first 4 rounds\blueD{\text{first 4 rounds}}first 4 roundsstart color #11accd, start text, f, i, r, s, t, space, 4, space, r, o, u, n, d, s, end text, end color #11accd and the lowest round\purpleC{\text{lowest round}}lowest roundstart color #aa87ff, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #aa87ff are shown in the following dot plot.
A dot plot has a horizontal axis labeled, Golf score, marked from 80 to 100, in increments of 1. 1 dot is plotted above each of the following values: 80, 90, 92, 94, 96. The dot above 80 is shaded purple.
How did the lowest round\purpleC{\text{lowest round}}lowest roundstart color #aa87ff, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #aa87ff affect the mean and median?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The median decreased, and the mean increased.
(Choice B)
B
The mean decreased, and the median increased.
(Choice C)
C
Both the median and mean decreased, but the mean decreased by more than the median.
(Choice D)
D
Both the median and mean decreased, but the median decreased by more than the mean.
Answers
Answer:
I'm going to chose B sorry if that the wrong answer
Answer:
It's C
Step-by-step explanation:
Which graph represents an exponential function?
Answers
Answer:
A simple exponential function to graph is y=2x . Notice that the graph has the x -axis as an asymptote on the left, and increases very fast on the right. Changing the base changes the shape of the graph. Replacing x with −x reflects the graph across the y -axis; replacing y with −y reflects it across the x -axis.
HELP
Write an equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
Answers
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
(-8, 6)
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is:
y = -4 + 38
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
We have given that,
An equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
(-8, 6)
What is the slope-intercept form?
y=mx+b
Where m is the slope
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is y = -4 + 38.
To learn more about the equation visit:
https://brainly.com/question/2972832
#SPJ2