Answers
The explicit formula for an, the nth term of the sequence is f(n) = 48 * (3/2)ⁿ ⁻ ¹
How to determine the nth term of the sequenceFrom the question, we have the following parameters that can be used in our computation:
48, 72, 108…
The above definitions imply that the sequence is a geometric sequence with the followin features
First term, a = 48
Common ratio, r = 72/48 = 3/2
Using the above as a guide,
So, we have the following representation
f(n) = a * rⁿ ⁻ ¹
So, we have
f(n) = 48 * (3/2)ⁿ ⁻ ¹
Hence, the sequence is f(n) = 48 * (3/2)ⁿ ⁻ ¹
Read more about sequence at
brainly.com/question/29431864
#SPJ1
Related Questions
Selected operating data for two divisions of Outback Brewing, Ltd., of Australia are given below: Division
Queensland New South Wales
Sales-$1,711,000 $2,832,000
Average operating assets -$590,000 $590,000
Net operating income -$102,660 $113,280
Property, plant, and equipment (net)-$259,000 $209,000
Required:
1. Compute the rate of return for each division using the return on investment (ROI) formula stated in terms of margin and turnover.
2. Which divisional manager seems to be doing the better job?
Required 1 Required 2
Which divisional manager seems to be doing the better job?
OQueensland division
Complete this question by entering your answers in the tabs below.
Answers
1) 19.2% is the rate of return for each division.
2) The New South Wales divisional manager seems to be doing a better job.
1) How to compute the rate of return for each division?
To compute the rate of return for each division using the return on investment (ROI) formula stated in terms of margin and turnover, we can use the following formula:
ROI = Margin × Turnover
Where Margin = Net operating income / Sales and Turnover = Sales / Average operating assets.
a. Queensland division:
Margin = -$102,660 / $1,711,000 = -0.06
Turnover = $1,711,000 / -$590,000 = -2.90
ROI = -0.06 × (-2.90) = 0.174 or 17.4%
b. New South Wales division:
Margin = $113,280 / $2,832,000 = 0.04
Turnover = $2,832,000 / $590,000 = 4.80
ROI = 0.04 × 4.80 = 0.192 or 19.2%
2) The New South Wales divisional manager seems to be doing a better job based on given ROI as the ROI of the New South Wales division is higher than which of the Queensl and division.
The New South Wales division generated a 19.2% return on investment.
The Queensland division generated a 17.4% return on investment.
Learn more about ROI here,
https://brainly.com/question/11913993
#SPJ1
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is heads?
Write your answer as a fraction in simplest form.
Answers
Select the expression that is shown on the number line
I’m going to describe what it looks like as good as I can.
-0-1/6-2/6-3/6-4/6-5/6-1.
Answers:
A:1/6 + 5/6
B:1/6 + 4/6
C:5/6 - 1/6
D:5/6 - 4/6
For 15 points!
Answers
The expression that is shown on the number line is 5/6 - 1/6.
What is expression?Expression is a combination of words and/or symbols that conveys a meaning or an idea. It can take many forms, including verbal, written, and nonverbal communication. Expressions can be used to describe emotions, thoughts, and feelings, and they can be used to explain why something happened or how something works. Expression is a powerful tool that allows people to communicate with each other, build relationships, and understand one another.
The expression that is shown on the number line is C: 5/6 - 1/6. To reach this answer, we must evaluate the points located on the number line. Starting from the left, the first point is 0, followed by -1/6, -2/6, -3/6, -4/6, -5/6, and -1. We can see that the difference between 5/6 and 1/6 is 4/6. Therefore, the expression that is shown on the number line is 5/6 - 1/6.
To know more about expression click-
http://brainly.com/question/1859113
#SPJ1
Evaluate
Find (f + g) (4) given f(x) = x - 1 and g(x) = x + 2.
Answers
Answer:
If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .
Step-by-step explanation:
Maria earned €600 each week. She spent 1/4 of her money on food. How much did she earn in 4 weeks?
Answers
Answer:
Maria earned €600 each week, and she spent 1/4 of her money on food.
So, Maria spent:
(1/4) * €600 = €150 on food each week.
To find how much she earned in 4 weeks, we can simply multiply her weekly earnings by 4:
€600/week * 4 weeks = €2400
Therefore, Maria earned €2400 in 4 weeks.
You are offered a job that pays $34,000 during the first year, with an annual increase of 5% per year beginning in the second year. That is, beginning in year 2, your salary will be 1.05 times what it was in the previous year. What can you expect to earn in your fourth year on the job?
In your fourth year on the job, you can expect to earn $______
(Round to the nearest dollar)
Answers
In your fourth year on the job, you can expect to earn $41,327.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =P(1+r/n)^rt
We are given that;
In this case, P = 34,000, r = 0.05, and n = 4.
Plugging these values into the formula, we get:
A = 34,000(1 + 0.05)^4
A = 34,000(1.05)^4
A = 34,000(1.2155)
A = 41,327
Therefore, by the simple interest the answer will be $41,327.
Learn more about simple interest here;
https://brainly.com/question/1548909
#SPJ1
A shopkeeper earns a profit of ₹2 by selling one marker pen and incurs a loss of ₹1 per eraser. 1. In the month of January, he incurs a loss of ₹5. In that month, he sold 40 marker pens. How many erasers did he sell in the month of January? 2. In the next month, he earns neither a profit nor a loss. If he sold 65 marker pens, how many erasers did he sell?
Answers
Answer:
1. He sold 5 erasers in January
2. He sold 130 erasers.
Step-by-step explanation:
1. ₹1 per eraser = ₹5 for 5 erasers
2. if you add opposites you get 0 So, ₹2 by selling one marker pen, loss of ₹1 per eraser. 65*2 is 130. So 130 erasers.
What has been one major problem in South Africa since the end of apartheid
Answers
A major problem in South Africa since the end of apartheid is B. The failure of government policies to address the race-based wealth gap.
How is this a problem in South Africa ?Since the termination of apartheid in South Africa in 1994, the nation has endured numerous social and financial struggles throughout the consecutive decades.
Specifically, a major problem is the long-standing inequity and destitution that putatively affects black South Africans, plausibly due to the lingering impact of past apartheid initiatives. Despite attempts by the government to tackle these problems via Black Economic Empowerment (BEE) policies, the degree of headway achieved appears to be tardy and spotty.
Find out more on South Africa at https://brainly.com/question/24554155
#SPJ1
11 points used on this question
Answers
Answer:
Six of the plants grew to a full height of 16 to 17 inches.
Step-by-step explanation:
Find the angle θ between a = 3i − k, b = 2i + 2k
Answers
a · b = ||a|| ||b|| cos(θ)
where ||a|| and ||b|| are the magnitudes of the vectors a and b, respectively.
First, we need to find the magnitudes of the vectors:
||a|| = sqrt(3^2 + 0^2 + (-1)^2) = sqrt(10)
||b|| = sqrt(2^2 + 0^2 + 2^2) = 2sqrt(2)
Then, we can calculate the dot product:
a · b = (3i - k) · (2i + 2k)
a · b = 6 + 0 - 2
a · b = 4
Now we can solve for the angle θ:
a · b = ||a|| ||b|| cos(θ)
4 = sqrt(10) * 2sqrt(2) cos(θ)
cos(θ) = 4 / (sqrt(10) * 2sqrt(2))
cos(θ) = 2 / sqrt(5)
Finally, we can calculate the angle θ:
θ = cos^-1(2 / sqrt(5))
θ ≈ 54.7 degrees
Therefore, the angle between a and b is approximately 54.7 degrees.
()
A civil engineer tendered for two independent contracts, and . The probabilities that he will win the contract is 1 and not win
2
contract is 3 . What is the probability that he will win: 10
(i) both contracts;
(ii) exactly one of the contracts;
(iii) neither of the contracts?
Answers
Note that the probabilities that the engineer will win:
Both contracts is 1/6exactly one of the contracts is 1/2Neither of the contracts is 1/3.How was the above probabilities be computed?
Let's denote the even of winning a contract as W and the event of not winning a contract as NW.
Thus, where we have:
P(W1) =1/2
P (NW1) = 1 - P(W1) = 1-1/2 1/2
P(W2) = 1/3
P(NW2) = 1-P(W2) = 1-1/3 = 2/3
1) To win both contracts, engineer need to have won contracts 1 and 2. Thus,
P(W1 and W2) = P(W1) *P(W2) = (1/2) * (1/3) = 1/6
2) To win only one contract, the engineer can either win contract 1 or contract 2 or vice versa.
Because they are independence,
P((W1 AND NW2) or (NW1 and W2)) = P(W1 AND NW2) + P(NW1 and W2)
= P(W1) * P(NW2) + P(NW1 * P(W2)
= (1/2) * (2/3) + (1/2) * (1/3)
= 1/2
3) With regard to the contractor winning neighter 1 or 2:
P(NW1 and NW2) = P(NW1) * P(NW2) = (1/2) * (2/3) = 1/3
Hence, it is correct to state that:
that the probabilities that the engineer will win:
Learn more about probability at:
https://brainly.com/question/30034780?
#SPJ1
on an assignment there are two multiple-choice questions is four answer choices each do you have no idea what the correct answer is to either one so you guess what is the probability that you get both of them right but guessing explain your answer
Answers
The probability that you get both of them right but guessing is 1/16 or 6.25%.
The likelihood of getting both multiple-choice questions right when speculating can be calculated by increasing the likelihood of getting each address right together. Since there are four reply choices for each address.
The likelihood of speculating the proper reply for one address is 1/4. In this manner, the likelihood of getting both questions right is (1/4) x (1/4) = 1/16 or 6.25%.
This implies that in case you were to guess randomly on both questions, there's as it were a 6.25% chance that you just would get both of them right.
This illustrates that speculating isn't a solid strategy for replying to multiple-choice questions and it is superior to utilize information and thinking to create educated choices.
Hence, the likelihood of speculating both questions accurately is (1/4) x (1/4) = 1/16. In other words, there's a 1 in 16 chance of getting both questions right fair by speculating.
To know more about probability refer to this :
https://brainly.com/question/24756209
#SPJ1
A cylinder and a cone have the same volume. The cylinder has a radius of x and a height of y. The cone has a radius of 13x. Find the height of the cone in terms of y.
Answers
If, the cylinder has a radius of x and a height of y. The cone has a radius of 13x. Then, the height of the cone in terms of y is h = (3/169)y.
The volume of a cylinder will be given by the formula V_cylinder = [tex]πr^{2h}[/tex], where r is the radius and h is the height. The volume of a cone is given by the formula V_cone = (1/3)[tex]πr^{2h}[/tex], where r is radius and h is height.
If the cylinder and cone have the same volume, then we can equate their volume formulas;
[tex]πX^{2y}[/tex] = (1/3)[tex](π13X)^{2h}[/tex]
Simplifying, we get;
[tex]πX^{2y}[/tex] = π169[tex]X^{2h/3}[/tex]
Dividing both sides by [tex]πX^{2}[/tex], we get;
y = 169h/3
Therefore, the height of the cone in terms of y is h = (3/169)y.
To know more about height of the cone here
https://brainly.com/question/21820107
#SPJ1
Which expression represents the distance between point J and point K?
I READY MATH LEFEL F
I NEED FOR TODAY PLEASEE
ILL GIVE BRAINLESS
Answers
Expression which represents the distance between point J and point K is d) |-10| + |5|.
The distance between two points is the length of the straight line segment that connects them in Euclidean space.
The distance formula between two points in a coordinate plane is given by:
d = [tex]\sqrt{(x_{2}- x_{1} )^{2} + (y_{2}-y_{1} )^{2} }[/tex]
where ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are the coordinates of the two points.
Using this formula, the distance between point J(-10,-15) and point K(5,-15) is:
d = [tex]\sqrt{(5-(-10))^{2}+(-15-(15))^{2} }[/tex]
= [tex]\sqrt{(5+10)^{2}+0^{2} }[/tex]
= [tex]\sqrt{15^{2} }[/tex]
= 15
Therefore, the correct expression that represents the distance between point J and point K is:
d) |-10| + |5|
Correct Question :
Which expression represents the distance between point J and point K?
a) |-10| - |5|
b) |5| + |-15|
c) |-15| - |-10|
d) |-10| + |5|
To learn more about Expression here:
https://brainly.com/question/14083225
#SPJ1
what are the coordinates of WXYD after a reflection across the x axis
Answers
Graph A shows the image of the quadrilateral WXYZ after a reflection over the x-axis and a translation of 2 units.
Option A is the correct answer.
We have,
From the figure,
The coordinates of WXYZ.
W = (5, -3)
X = (-6, 3)
Y = (-3, 1)
Z = (-2, 3)
Now,
After the reflection over the x-axis.
W = (-3, 5) = (-3, 5)
X = (-6, 3) = (-6, -3)
Y = (-3, 1) = (-3, -1)
Z = (-2, 3) = (-2, -3)
Now,
Translation to the right of 2 units.
W = (-3, 5) = (-3, -5) = (-1, 3)
X = (-6, 3) = (-6, -3) = (-4, -3)
Y = (-3, 1) = (-3, -1) = (-1, -1)
Z = (-2, 3) = (-2, -3) = (0, -3)
Thus,
Graph A shows the image of the quadrilateral WXYZ after a reflection over the x-axis and a translation of 2 units.
Learn more about reflections here:
https://brainly.com/question/12463306
#SPJ1
The analysis phase of decision making includes
Answers
The following actions are often part of the decision-making process' analysis phase:
Describe the issue: Set explicit goals and objectives for the decision-making process and identify the specific issue that has to be solved.Information gathering: To assist in the decision-making process, gather pertinent facts and information from dependable sources.Evaluate the data: Go over the information to spot trends, correlations, and patterns that may shed light on the issue.Find alternatives: Come up with a number of possible fixes or courses of action that might take care of the issue.Alternatives should be evaluated by weighing their benefits and drawbacks in light of factors including viability, cost, impact, and efficacy.Decide on a strategy: Based on your investigation and evaluation of the choices, choose the best one.Learn more about decision-making here:
https://brainly.com/question/31422716
#SPJ1
-2/5+4/5 drop the corrects sum on the number line
Answers
Answer:
- 2/5 + 4/5 would give you 2/5
Step-by-step explanation:
think of it as (positive) + 4/5 (subtracted by) - 2/5 then you get 2/5!
AB, BC and CD are sides of a regular 12-sided polygon. CDMN is a square. Prove that points A, C and M lie on a straight line.
Answers
As we have proved that points A, C and M lie on a straight line.
To begin with, let's recall what a regular polygon is. A regular polygon is a polygon with all sides of equal length and all angles of equal measure. In this case, we are given a 12-sided regular polygon. That means all the sides of this polygon are of equal length, and all the angles are of equal measure.
Now, let's look at point A. Point A is a vertex of the 12-sided polygon, which means it is one of the points where two sides of the polygon meet. Let's call the vertex adjacent to A as vertex B. Since the polygon is regular, the line segment AB is a side of the polygon, which means it is of equal length to all other sides of the polygon.
Since A and B are vertices of the polygon and AB is a side of the polygon, the line segment AB is a straight line. Since CM is of equal length to all sides of the square CDMN, it is also a straight line.
To show that AB and CM intersect at C, we just need to show that they are not parallel. If they are not parallel, they will intersect at some point, and that point will be C.
Now, let's consider the angle that CM makes with CD. Since CD is a straight line, the angle that CM makes with CD is just the difference between the angles that CM and CD make with AB. We know that the angle between AB and CD is x, and we know that the angle between CM and AB is 90 degrees (because CM is a straight line and AB is a side of the polygon). Therefore, the angle between CM and CD is (90 - x) degrees.
Since x is an angle in a regular 12-sided polygon, we can calculate its value using the formula (12 - 2) * 180 / 12, which simplifies to 150 degrees. Therefore, the angle between CM and CD is (90 - 150) degrees, which is -60 degrees.
Now, let's consider the angle that AB makes with CD. We already know that the angle between AB and CD is x. Since AB is a side of a regular 12-sided polygon, we can also calculate its interior angle using the same formula as before. Therefore, the interior angle of the 12-sided polygon is (12 - 2) * 180 / 12 = 150 degrees, and the angle between AB and CD is 150 degrees.
Therefore, AB and CM must intersect at some point, and that point must be C. This means that A, C, and M lie on the same straight line, which is what we needed to prove.
To know more about polygon here
https://brainly.com/question/24464711
#SPJ1
A fair, 6-sided die is rolled 50 times. Predict how many times it will land on a number greater than 3.
one half
5
25
50
Answers
25 times out of 50 times the die will land on greater than 3.
We have,
A 6 sided die is rolled 50 times.
So, the probability of getting greater than 3 on first trial
= 3/6
= 1/2
Now, if the die rolled 50 times then the chances of getting greater than 3 is = 1/2 x 50
= 25 times
Learn more about Probability here:
https://brainly.com/question/30034780
#SPJ1
Lucy has an unpaid balance of $700 on her credit card. The credit card company requires a minimum payment of 3% and charges an annual interest rate of 27%. Calculate Lucy's minimum payment, the amount of interest paid that month, and her unpaid balance. Round each to the nearest cent.
Answers
Lucy's new unpaid balance is $694.28 to the nearest cent.
Lucy's minimum payment can be calculated by multiplying her unpaid balance by the minimum payment percentage:
Minimum payment = 3% of $700 = 0.03 x $700 = $21
So, Lucy's minimum payment for the month is evaluated at $21.
As per the given information,
Monthly interest rate = 27% / 12 = 0.0225 / month
The interest charged for the month is then calculated by multiplying the monthly interest rate by the unpaid balance:
Interest charged for the month = 0.0225 x $700 = $15.75
So, Lucy will be charged $15.75 in interest for the month.
Finally, we can calculate Lucy's new unpaid balance after making the minimum payment and paying the interest charged for the month. This is given by:
Unpaid balance = (unpaid balance - minimum payment) x (1 + monthly interest rate)
Unpaid balance = ($700 - $21) x (1 + 0.0225) = $694.2775
Therefore, Lucy's new unpaid balance is $694.28.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ1
Find the area of the circle. Use 3.14 for π. Round to the nearest whole number.
A
50 ft2
B
25 ft2
C
804 ft2
D
201 ft2
Answers
The area of the circle rounded to the nearest whole number is A 50 ft²
We see that the diameter of the circle in diagram is 8 feet. The area of the circle is calculated by the formula -
Area = πr², where r is the radius of the circle. Now, we know that radius is half the diameter. Thus, radius = 8/2
Divide the value
Radius of circle = 4 feet
The area of circle = 3.14 × 4²
Take square and multiply the value on Right Hand Side of the equation
Area of circle = 50.24 square feet
Rounding the number to the nearest whole number, we get 50 square feet
Hence, the area of the circle is A 50 ft².
Learn more about area -
https://brainly.com/question/14068861
#SPJ1
The question is attached in figure.
Can someone help me with this I’ve been stuck
Answers
Answer:
The answer is (x+2) + (y-2)=2²
(-2,2)
Step-by-step explanation:
x= -2,y=2
(x-h) + (y-k)=R²
C(h,k)
where C is Centre
x+2=0,y-2=2²
(x+2)² + (y-2)²= 2²
Identify an equation in point-slope form for the line perpendicular to
y=-x-7
-7 that passes through (-2,-6).
Answers
Answer:
So the equation of the line perpendicular to y=-x-7 and passing through (-2, -6) in point-slope form is y = x - 4.
Step-by-step explanation:
To find the equation of a line perpendicular to y=-x-7, we need to find its slope first, which is the coefficient of x, which is -1 in this case. The slope of a line perpendicular to this line will be the negative reciprocal of this slope, so the slope of our line will be 1.
To find the equation of the line in point-slope form, we can use the formula:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line. We are given the point (-2, -6), so we can substitute these values into the formula and get:
y - (-6) = 1(x - (-2))
Simplifying this equation gives:
y + 6 = x + 2
Subtracting 6 from both sides gives:
y = x - 4
So the equation of the line perpendicular to y=-x-7 and passing through (-2, -6) in point-slope form is y = x - 4.
Julian wants his tanks to hold 30 gallons of water. The content of saltwater should be 3.5% salt and 96.5% purified water. Set up a proportion to first find the number of gallons of salt mix that should be added. Then use another proportion to find the number of PINTS of aquarium salt mix that Julian should use for 30 gallons of purified water. Round your answer to the nearest tenth. Note there are 8 pints in one gallon. Approximately how many pints of aquarium salt mix should Julian use for 30 gallons of purified water?
Answers
Step-by-step explanation:
The 3.5% saltwater means that for every 100 gallons of saltwater, there are 3.5 gallons of salt and 96.5 gallons of purified water. Therefore, to find the number of gallons of salt mix that Julian should add to 30 gallons of purified water, we can set up the following proportion:
3.5 gallons of salt / 100 gallons of saltwater = x gallons of salt / 30 gallons of purified water
Simplifying this proportion, we get:
x = (3.5 gallons / 100 gallons) * 30 gallons / 96.5 gallons
x = 0.01078 gallons of salt mix
To find the number of pints of aquarium salt mix that Julian should use, we can set up another proportion:
1 gallon of salt mix / 8 pints of salt mix = 0.01078 gallons of salt mix / y pints of salt mix
Simplifying this proportion, we get:
y = (0.01078 gallons of salt mix / 1 gallon of salt mix) * (8 pints of salt mix / 1 gallon of salt mix)
y = 0.0862 pints of aquarium salt mix
Rounding to the nearest tenth, Julian should use approximately 0.1 pints of aquarium salt mix for 30 gallons of purified water.
Of possible books, you plan to take with you on vacation. How many different collections of books can you take?
Answers
Answer:
Step-by-step explanation:
8 possible books, you plan to take 7 with you on vacation. How many different collections of 7 books can you take
PLEASE HELP I DON'T UNDERSTAND HOW TO DO THIS
Answers
Answer: C
Step-by-step explanation:
cos ∅ = adj/ hyp = XZ/ZY
the inverse cos is how you find angle
[tex]cos^{-1}\frac{XZ}{YZ}[/tex] none of these are your choices so try sin
sin∅ = opp/hyp = xy/yz
[tex]sin^{-1}\frac{XY}{YZ}[/tex]
so answer is C
Zuza has a cube with each face painted a different color and wants to number the faces from 1 to 6, so that each pair of nonadjacent faces sums to 7. In how many different ways can such a numbering be done?
Answers
Answer:
Let's assume that the colors on the cube are numbered as follows:
Red
Blue
Green
Yellow
Purple
Orange
Without loss of generality, we can assume that the face numbered 1 is painted red. We can then use the following table to determine the colors of the other faces:
Face Number Color Opposite Face Number Opposite Color
1 Red 6 Orange
2 Blue 5 Purple
3 Green 4 Yellow
4 Yellow 3 Green
5 Purple 2 Blue
6 Orange 1 Red
We can start by choosing the color for face number 2, which must be one of the colors opposite to red (i.e., purple, green, or yellow). Let's say we choose purple. Then, the color for face number 5 must be one of the colors opposite to blue (i.e., green or yellow). Let's say we choose green. Then, the color for face number 3 must be one of the colors opposite to yellow (i.e., purple or orange). Let's say we choose orange. Now, the remaining three colors must be the ones that have not been used yet, which are blue, green, and yellow. We can then assign them to faces 4, 6, and 1, respectively.
Therefore, the numbering of the faces is as follows:
Face Number Color
1 Yellow
2 Purple
3 Orange
4 Green
5 Green
6 Blue
Note that we could have started by choosing green for face number 2 instead of purple, which would have led to a different numbering. However, we would have ended up with the same set of six colors.
In general, there are 3 choices for the color of face number 2, 2 choices for the color of face number 5, and 2 choices for the color of face number 3. After those choices are made, there is only one way to assign the remaining three colors to the remaining three faces. Therefore, there are:
3 x 2 x 2 x 1 = 12
different ways to number the faces of the cube as described in the problem.
Step-by-step explanation:
please leave thanks
HELP FAST PLEASE Solve for the measure of angle A 41 29
Answers
Answer: 35
Step-by-step explanation:
The formula is there
a=(41+29)/2= 35
Question 22 of 25
Suppose f(x) = x² and g(x) = (4x)2. Which statement best compares the graph
of g(x) with the graph of f(x)?
A. The graph of g(x) is vertically stretched by a factor of 4.
B. The graph of g(x) is horizontally compressed by a factor of 4.
C. The graph of g(x) is horizontally stretched by a factor of 4.
D. The graph of g(x) is shifted 4 units to the right.
Answers
(b) The graph of g(x) is the graph of f(x) horizontally compressed by a factor of 4
Comparing the functions f(x) and g(x)From the question, we have the following parameters that can be used in our computation:
f(x) = x²
g(x) = (4x)²
The graph of g(x) is the graph of f(x) horizontally compressed by a factor of 4.
To see this, we can rewrite g(x) as g(x) = 4²(x²) = 4²f(x).
This means that g(x) is equal to f(x) horizontally compressed by a factor of 4
Read more about transformation at
brainly.com/question/27224272
#SPJ1
Find the median and mean of the data set below:
9,43,50,0
Answers
The median is the average of the two middle numbers (if there are two). (9+43)/2 = 52/2 = 26.
Mean: Add them all up, 102.
102/total number of terms = 102/4 = 25.5
