2 Points
Which rule should be applied to reflect f(x) = x2 over the yaxis?
A. Switch the variables x and y in the equation
B. Multiply f(x) by -1.
C. Substitute -x for x and simplify f(-x)
O D. Multiply f(y) by -1.
SUBMIT
Answers
Answer:
Option C. Substitute -x for x and simplify f(-x)
Step-by-step explanation:
The rule for reflection over y axis is:
Substitute -x for x and simplify f(-x)
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
While reflecting a point with coordinates as (x, y), over y axis, the rule followed is
(x, y) = (-x, y)
The given function is,
f(x) = x²
So, reflecting it over y axis, we have to replace x with -x
(x, f(x)) = (-x , f(x))
So, the new reflected function is
f(-x) = -x²
Learn more about Transformation here:
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Related Questions
Two cities are building bicycle paths.
Charles City has built 5\,\text{km}5km5, start text, k, m, end text of bicycle paths by the end of the first month, and the total length of the paths doubles each month.
Tinsel Town has built 21\,\text{km}21km21, start text, k, m, end text of bicycle paths by the end of the first month, and the total length of the paths increases by 5\,\text{km}5km5, start text, k, m, end text per month.
At the end of which month does the total length of the bicycle paths in Charles City first exceed the length in Tinsel Town?]
Answers
Answer:
4.6 give 56 just exceed 56=4.5
A ferris wheel has a radius of 50 feet, how many feet would it take to go around the entire ferris wheel (the circumference)?
Answers
Answer: 314.16 or 100 pie
Step-by-step explanation:
2(50)pie
Answer: 314.159
Step-by-step explanation: The formula for circumference is is 2πr. 2 times 50 is 100 and 100π is about 314.159
The vertices of figure A are located at (2, 2), (4, 2), (4, 4). The transformation f(x, y) = (½x, ½y+2) transforms figure A into figure B. Which of the following sets of transformations would transform figure B back into figure A?
A dilation by a factor of 2 centered at the origin, followed by a translation down 4 units.
A translation down 4 units, followed by a dilation by a factor of 2 centered at the origin.
A dilation by a factor of ½ centered at the origin, followed by a translation up 2 units.
A dilation by a factor of 2 centered at the origin, followed by a translation down 2 units.
Answers
Answer:
b
Step-by-step explanation:
because its a reasonal answer if you do the math
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
AND PLEASE ACTUALLY EXPLAIN/DESCRIBE!
Answers
In a box plot, also known as a box-and-whisker plot, the data is dispersed and represented visually to provide a summary of the distribution and key characteristics of the dataset. Let's describe how the data is dispersed in the box plot for the given data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
1. Median (Q2): The median represents the middle value of the dataset when arranged in ascending order. In this case, the median is around 27 or 28, as it lies between the values 27 and 30.2. Lower Quartile (Q1): The lower quartile marks the boundary between the lower 25% of the data and the upper 75%. It is located approximately around 22 or 23, as it falls between the values 21 and 24.3. Upper Quartile (Q3): The upper quartile marks the boundary between the lower 75% of the data and the upper 25%. It is located around 34 or 35, as it lies between the values 33 and 36.4. Interquartile Range (IQR): The IQR is the range between the upper and lower quartiles (Q3 - Q1). In this case, the IQR is approximately 12 (35 - 23).5. Whiskers: The whiskers represent the range of the data excluding any outliers. They extend from the lower quartile (Q1) to the minimum value and from the upper quartile (Q3) to the maximum value. However, in some cases, the whiskers can also be defined based on certain criteria, such as 1.5 times the IQR. Outliers, if present, are depicted as individual data points beyond the whiskers.6. Outliers: Outliers are data points that significantly deviate from the rest of the dataset. In this case, there are no clear outliers based on the data provided.7. Box: The box in the box plot spans from the lower quartile (Q1) to the upper quartile (Q3) and represents the middle 50% of the data. In this case, the box spans approximately from 23 to 35.By observing the box plot, we can see that the data is moderately dispersed, with the majority of values concentrated around the median. The range of the data is approximately 20 to 38, with some variability within the dataset.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Minimum value: 18
First quartile (Q1): 22
Median: 29
Third quartile (Q3): 36
Maximum value: 38
The box plot is created using these values. A box is drawn from Q1 to Q3 with a line inside the box at the median. Whiskers are drawn from the box to the minimum and maximum values. Any data points beyond the whiskers are plotted as individual points.
In this box plot, the data is dispersed fairly evenly, with no outliers beyond the whiskers. The box is centered around the median, indicating that the data is roughly symmetric. The lower half of the data is slightly more spread out than the upper half, as indicated by the longer whisker on the left side of the box. Overall, the box plot shows that the data is relatively consistent, with no extreme values.
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Triangle FGH has vertices F(−3, 2), G(1, 3), and H(−1, −1). Triangle F′G′H′ has vertices F′(3, 2), G′(−1, 3), and H′(1, −1).
Which transformation of triangle FGH produced triangle F′G′H′?
A)a rotation of 90° counterclockwise around the origin
B)a rotation of 90° clockwise around the origin
C)a reflection across the y-axis
d)a reflection across the x-axis
Answers
D) a reflection across the x-axis (y=0)
a committee consisting of 4 faculty members and 5 students is to be formed. every committee position has the same duties and voting rights. there are 7 faculty members and 13 students eligible to serve on the committee. in how many ways can the committee be formed?
Answers
and
C(13, 5) = 13! / (5!(13-5)!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Multiply these two combinations since the faculty members and students are selected independently:
Total number of ways to form the committee = C(7, 4) * C(13, 5) = 35 * 1287 = 45,045
Therefore, there are 45,045 ways to form the committee consisting of 4 faculty members and 5 students.
For faculty members:
There are 7 eligible faculty members, and we need to select 4 of them for the committee. This can be done using the combination formula:
C(7, 4) = 7! / (4!(7 - 4)!) = 35.
So, there are 35 ways to select 4 faculty members from the 7 eligible ones.
For students:
There are 13 eligible students, and we need to select 5 of them for the committee. Using the combination formula again:
C(13, 5) = 13! / (5!(13 - 5)!) = 1287.
Therefore, there are 1287 ways to select 5 students from the 13 eligible ones.
To form the committee, we multiply the number of ways to select faculty members by the number of ways to select students:
35 * 1287 = 44,895.
Hence, there are 44,895 ways to form the committee consisting of 4 faculty members and 5 students from the eligible candidates.
Write each ratio as a fraction in lowest terms:
Q1 - 24.8 to 13.4
Q2 - 1.5 to 4.5
Answers
Answer:
124/67 and 1/3
Step-by-step explanation:
The second ratio is 1.5/4.5, which readily reduces to 1/3.
Dividing both numerator and denominator of 24.8 / 13.4 by 2 yields the simpler 12.4 / 6.7 or 124/67. This latter result cannot be reduced.
Please help SUBTRACT mixed fractions 100 points
Answers
C
Hope this helps
Which fraction is less than the fraction represented by the model? A circle divided into 8 equal parts. 5 parts are shaded. Three-fourths Start Fraction 11 Over 16 End Fraction Start Fraction 13 Over 16 End Fraction Start Fraction 2 Over 4 End Fraction
Answers
Answer:
Step-by-step explanation:
The fraction represented by the model is 5/8. To compare it with the given fractions, we need to convert them to have the same denominator of 8.
- Start Fraction 11 Over 16 End Fraction = 11/16 = 0.6875
- Start Fraction 13 Over 16 End Fraction = 13/16 = 0.8125
- Start Fraction 2 Over 4 End Fraction = 2/4 = 1/2 = 0.5
To compare these fractions to 5/8, we can see that 0.5 is less than 0.625 (which is 5/8), so Start Fraction 2 Over 4 End Fraction is less than the fraction represented by the model. Therefore, the answer is Start Fraction 2 Over 4 End Fraction.
Arya and Cody each manage a landscaping business. The equation y=15x+30 represents the cost, y, of x hours of landscaping through Arya’s business. The table shows the cost, y, of different x hours of landscaping through Cody’s business.
Which statement is true?
A) Arya charges $5 less per hour than Cody.
B) Arya charges $5 more per hour than Cody.
C) Arya charges $10 less per hour than Cody.
D) Arya charges $10 more per hour than Cody.
Answers
Answer:
The answer is A
Step-by-step explanation:
Answer:
a) Arya charges $5 less per hour than Cody.
Answer Is not C
please help
Answers
Answer:
B
Step-by-step explanation:
Well since it is arthimetic sequence we know the formula
We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7
\(a_{n}= a _{1}+ d (n-1) \\a_{n}= -12+7(n-1)\\a_{n} = -12+7n-7\\a_{n}= 7n-19\)
the domain of this is 1,2,3,4.......
range is -12,-5,2,9.......
Therefore answer is B.
HELPP PLSS ASAP will give high reward and brainliest
Answers
In an experiment, Mary will flip a coin 9 times. Will the relative frequency of her coin landing on heads be equal to the probability the coin will land on heads? How do you know?
Answers
yes because, it’s a 50-50 either way so it will be the same, unless your counting the fact whatever side faces up when you flip it is a tiny bit more likely (I’ve tried it before and it’s true! Whatever side is facing upwards is more likely!) that doesn’t count in math terms though.
What’s j+12=25 tape diagram
Answers
An equation is a mathematical statement that shows two mathematical expressions equal.
An equation consists a variable that does not have a fixed value to it.
Given,
j+12=25
Here ‘j’ is the variable.
To find ‘j’ we just need to 12 from 25.
So, 25 - 12 = 13
Hence, now we know that ‘j’ is equal to 13.
Proof :
13 + 12 = 25
Learn more about Equations here
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A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour. At 2 p.m., the amount of oil left in
the lantern is 63 ounces. At 5 p.m., the amount of oil left in the lantern is 61 ounces.
Based on the average rate of oil burning per hour, how much oil, in ounces, was in the lantern at 12 noon? Show your work.
Answers
Answer:
64.33 ounces
Step-by-step explanation: The rate at which the oil burns.
1 hour = 2/3 ounce
At 2 pm = 63 ounces
At 5 pm = 61 ounces
The amount of oil at 12 noon is 64.33 ounces.
Help me out please ASAP? Thanks so much!
Draw the image of ABC under a dilation whos center is P and scale factor is 1/3
(The blue triangle is the point of reference, the green is that of what you will be plotting to have a scale factor of 1/3)
Answers
Answer:
Shrink triangle ABC three times smaller than it is now, and make sure that point P is in the middle.
Step-by-step explanation:
Hope this helps!
Answer:
Make triangle ABC three times smaller than it is now, and also make sure that point P is in the middle at the end.
There are currently 6,210 fish in a lake. If the number of fish in the lake increased by 15 percent during the last year and 20 percent during the year before that, how many more fish are in the lake currently than in the last two years ago?
Answers
I’m pretty sure the answer should be 1,710 if not i’m sorry
Answer:
1710 fish
Step-by-step explanation:
Let the number of fish in the lake last year be 'x'
The equation becomes-
x + 15x/100=6210 (This is because 15% of x is added in x to become
6210... hope you understand)
x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400
Therefore- The number of fish last year = 5400
Now, let the number of fish in the lake 2 years ago be 'y'
The equation becomes-
y + 20y/100 = 5400 (Same logic as last time)
y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500
Therefore- Fish in the lake two years ago = 4500 fish
Difference between current and two years ago = 6210-4500
= 1710 fish
Hope you understood the answer and I hope it helps you :)
y= -2x + 1
Graph the number pairs on a coordinate plane.
Answers
Answer:
the picture attached will explain
Answer:
draw a coordinate plane, then the number pairs and the number pairs are (-2,1) the x-axies are on the left and the y-axies are on the right
Step-by-step explanation:
If i am wrong then sorry
Pls help! Will give brainliest!!
Answers
Considering area (A) of garden as 30 square feet:
30 = x(2x+7)
Now we need to expand it:
x(2x+7) = 2x^2 + 7x
2x^2 + 7x = 30
Adding this into an Algebra calculator gives us 5/2 or 2.5
So x = 2.5
To prove this:
2(2.5) + 7 = 12
14 * 2.5 = 30
(2x+7) x = 30
you can distribute to make this easier
2x^2 + 7x = 30
you can plug this into quadratic formula by setting the equation =0, so:
2x^2 +7x -30 = 0
where 2x^2 = a
7x = b
and -30 = c
you can plug this into your calculator and get an answer of
X = 2.5
Which values best complete the relative frequency table?
F:) Yellow = 0.20; Orange = 0.40
G:) Yellow = 0.08; Orange = 0.16
H:) Yellow = 0.06; Orange = 0.12
J:) Yellow = 0.80; Orange = 0.16
Answers
Option F: Yellow = 0.20; Orange = 0.40
The sum of these values is 0.20 + 0.40 = 0.60, which is less than 1.0, so this option cannot be correct.
Option G: Yellow = 0.08; Orange = 0.16
The sum of these values is 0.08 + 0.16 = 0.24, which is less than 1.0, so this option cannot be correct.
Option H: Yellow = 0.06; Orange = 0.12
The sum of these values is 0.06 + 0.12 = 0.18, which is less than 1.0, so this option cannot be correct.
Option J: Yellow = 0.80; Orange = 0.16
The sum of these values is 0.80 + 0.16 = 0.96, which is less than 1.0, so this option cannot be correct either.
None of the options have a total sum of 1.0 or 100%. Therefore, we cannot determine which values best complete the relative frequency table based on the given options.
in his first four years of coaching football, Coach Delgato's team won 5 games the first year, 10 games the second year, 8 games the third year, and 7 games the fourth year. How many games does the team need to win the fifth year to have an average of 8 wins per year?
Answers
The team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.
To find out how many games the team needs to win in the fifth year to have an average of 8 wins per year over the five-year period, we can use the following equation:
(5 + 10 + 8 + 7 + x) / 5 = 8
Here, x represents the number of games the team needs to win in the fifth year.
To solve for x, we can simplify the equation:
(30 + x) / 5 = 8
Now, we can cross-multiply:
30 + x = 40
Subtracting 30 from both sides of the equation, we get:
x = 10
Therefore, the team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.
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Use the best-fit line below to predict the value of y when x = 7
Answers
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
Can i have a explaination for this
Answers
Answer:
B
Step-by-step explanation:
The equation for graphing is simply known as y=mx+b
where m = slope and b = Y-Intercept
considering that 1 = Y-Int, you can already put a point on (0,1)
Now, we have the slope of 1/2. When dealing with a fraction slope, we know it as rise/run
The numerator (1) is our rise, so from our previous point, we rise up one time where we're now left with (0,2)
And with two being our run, we take it and run it through the x-axis with our new point (0,2)
After that, we should be left with (2,2)
Therefore, (2,2) is equivalent to answer B with the given equation
When mom is doing cleaning on her own it takes 2 hours. When dad does cleaning, it takes 4 hours. How long will it take if both of them work together?
Answers
Please help i need this answer in 5 min
Answers
Answer:6
Step-by-step explanation:
using BIDMAS: Brackets,Indices,division,multiplication,addition,subtraction.
1) Firstly you do the problem in the brackets. (-19 - -20) two negatives next to each other make a plus(+) meaning (-19 - -20) = (-19+20) which = 1
2) Next Step is to do the multiplication section. Since we got 1 in place instead of (-19 - -20) we multiply -3 by 1 which = -3.
3) Now the equation we have is 11 + -8 - -3. In BIDMAS both addition and subtraction are equal therefore we can do it in any order. 11 + -8 is the same as 11 - 8 = 3
4) The problem we have now is 3 - -3, like we said before two negatives next to each other make an addition sign(+) so 3 - -3 = 3+3 = 6, therefore getting the answer 6.
Thank you for reading,please let me notify me if I've missed anything out!
Tyrone has a fish tank that measures 36in. long, 24in. high, and 18 in. wide. He wants to fill the fish tank to a height of 14 inches. What will be the volume of water in the tank?
Answers
Answer:
Step-by-step explanation:
volume of water=l×w×h
l=length of tank=36 in
w=width of tank=18 in
h=height of water=14 in
volume=36×18×14
=9072 in³
The value of the nth term in a sequence of numbers given by the expression 2n -3. What is the 8th term in the sequence?
A. -22
B. 11
C. 13
D. 26
Answers
Answer:
C. 13
Step-by-step explanation:
If the nth term is given by 2n-3 and you're being asked for the 8th term, n=8, plug in 8 for n. 2(8)-3=13
Bernita is buying fencing for her vegetable garden to keep her dogs out. The length of her garden is 13.6 feet, and the width is 11.3 feet. How much fencing material should she purchase to build the fence around the garden?
A. 24.9 ft
B. 49.8 ft
C. 50 ft
D. 153.68 ft
Answers
Answer:
153.68
Step-by-step explanation:
Area = L • W
Area: 13.6 • 11.3 = 153.68
Area = 153.68 so ft
Hope this helps!
Jaylen and six of her younger siblings have ages that are consecutive. When they moved from San Francisco to Chicago, their ages (all seven of them) added up to 91. How old was Jaylen when they moved?
Answers
Answer:
Jaylan was 16
Step-by-step explanation:
16 + 15 + 14 + 13 + 12 + 11 + 10 are all of the consecutive ages of Jaylen, and her younger siblings when they moved to Chicago. Jaylen being the oldest, she must also be 16.
hope that helps!!