$9.00
Hope you had a good Thanksgiving break, and I hope this helps.
The graph of g is a vertical shrink by a factor of 1/3 and a reflection in the y-axis, followed by a translation 3 units right of the graph of f(x)=x2. Write a rule for g.
Answer: g(x) = (1/3)*(-x)^2 + 3.
Step-by-step explanation:
Let's define all the transformations in a general way,
A vertical contraction/dilation of a scale factor a is written as:
g(x) = a*f(x)
where if a > 1, it is a dilation.
if 0 < a < 1, it is a contraction.
A reflection in the y-axis changes the value of the x-component and leaves the y-component invariable, then this transformation is written as:
g(x) = f(-x).
A translation of A units up (A positive) is written as:
g(x) = f(x) + A.
Then for this case we have:
A dilation with scale factor 1/3.
g(x) = (1/3)*f(x)
A reflection over the y-axis.
g(x) = (1/3)*f(-x)
A translation of 3 units up.
g(x) = (1/3)*f(-x) + 3
(in that order, remember that the order in which you applly the transformations matters)
Then g(x) = (1/3)*f(-x) + 3
and f(x) = x^2, so we can replace that in the equation for g(x)
g(x) = (1/3)*(-x)^2 + 3.
Transformation involves changing the position of a function.
The rule for g is: [tex]\mathbf{g(x) = \frac 13(x - 3)^2}[/tex]
The parent function is given as:
[tex]\mathbf{f(x) = x^2}[/tex]
The rule of vertical shrink by a factor of 1/3 is:
[tex]\mathbf{(x,y) \to (x,\frac 13y)}[/tex]
So, we have:
[tex]\mathbf{f'(x) = \frac 13x^2}[/tex]
The rule of reflection across the y-axis is:
[tex]\mathbf{(x,y) \to (-x,y)}[/tex]
So, we have:
[tex]\mathbf{f''(x) = \frac 13(-x)^2}[/tex]
[tex]\mathbf{f''(x) = \frac 13x^2}[/tex]
The rule of translation 3 units right is:
[tex]\mathbf{(x,y) \to (x - 3,y)}[/tex]
So, we have:
[tex]\mathbf{g(x) = \frac 13(x - 3)^2}[/tex]
Hence, the rule for g is: [tex]\mathbf{g(x) = \frac 13(x - 3)^2}[/tex]
Read more about transformations at:
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Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from sleep disorder
Answer:
Probability [also suffers from sleep disorder] = 0.5555 (Approx)
Step-by-step explanation:
Note:
Missing
Sleep disorders = 92%
Suffer from anxiety = 9%
Both sleep disorders and anxiety = 5%
Computation:
Probability [also suffers from sleep disorder] = 5% / 9%
Probability [also suffers from sleep disorder] = 0.5555 (Approx)
if lil Uzi got 67.5million views on 4 7am and you go listen how many more dose he have
100 points
Answer:
67,500,001
Step-by-step explanation:
Gotchu homie imma give it a listen
Roberto must make his costume for the school play. He needs a piece of fabric that is 2 and 2/3 yards long and 1 and 1/2 yards wide. What is the area of the piece of fabric Roberto needs?
Answer:
4 yd².
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 2⅔ yards
Width (W) = 1½ yards
Area (A) =.?
The area of the piece of fabric that Roberto needs can be obtained by using the formula for calculating the area of a rectangle. This is illustrated below:
Area (A) = Length (L) × Width (W)
A = 2⅔ × 1½
A = 8/3 × 3/2
A = 8 × ½
A = 4 yd²
Thus, the area of the piece of fabric that Roberto needs is 4 yd²
help please!!!!!!!!!
A. (1, -2)
B. (1, 2)
C. (2, -1)
D. Infinite number of solutions
Answer:
(1, -2) Option A in your list of possible answers
See attached image.
Step-by-step explanation:
We need to graph the lines by using a couple of points on the plane for each equation.
For example:
the points (0, -3) and (3, 0) for the line y = x - 3
and the points (0, 1) and (-1, 4) for the line y = - 3 x + 1
Please see the lines in the attached image, and notice that they intersect at the point (1, -2), which gives you the solution for the system.
1. a. Anita hadoſ a bag of fertilizer left. She used
of what was left. What question about Anitas
fertilizer can be answered by calculating !!!
Answer:
hello your question is incomplete below is the complete question
answer : what part of the bag of fertilizer left was used by Anita
Step-by-step explanation:
Anita had 1/2 bag of fertilizer left
and she used (3/4 of the fertilizer
that means she used ( 3/4 * 1/2 ) bag of fertilizer
hence the question about Anita's fertilizer that can be answered is ; what part of the bag of fertilizer left was used by Anita
Jalen measured a bookcase to be 8.4 feet. The actual measurement is 5.6 feet. What is Jalen's percent error?
Answer:
hey man thats my name im about to answer my own question. i used my caculator and i got 150.0 if its not right sorry
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
Evaluate 4 + (m - n) ^4when m
7 and n = 5.
) The value of the expression is
Answer:
20
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of the expression 4 + [tex](m - n)^4[/tex] at m = 7 and n = 5 is 20.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3 + 4x = 5 is an expression.
We have,
An expression:
4 + [tex](m - n)^4[/tex]
We will solve the expression when m = 7 and n = 5.
Now,
4 + [tex](m - n)^4[/tex]
= 4 + [tex](7 - 5)^4[/tex]
= 4 + [tex]2^{4}[/tex]
[tex]2^{4}[/tex] = 2 x 2 x 2 x 2 = 16
= 4 + 16
= 20
Thus,
The value of the expression 4 + [tex](m - n)^4[/tex] at m = 7 and n = 5 is 20.
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can you please help me with this question .
Answer:
The answer is 4
Explanation:
5 divided by 20 is 4 right?
The table of values models the quadratic function y = x2 + 7x – 9. What are the missing y-values in the table for the x-values?
The answer is letter B.
y = x² +7x-9
y= (-2)²+7(-2)-9
y=4+-14-9
y=-19
y=(-1)²+7(-1)-9
y=1+-7-9
y=-6+-9
y= -15
y=(0)²+7(0)-9
y=0+0-9
y=-9
y=(1)²+7(1)-9
y=1+7-9
y=8-9
y= -1
y=(2)²+7(2)-9
y=4+14-9
y=18-9
y=9
The missing values of the given quadratic function are option (b)-19,-15,-9,-1,9
What is a quadratic function?Quadratic function is an function which contains one unknown variable and the highest power of this unknown variable is 2. Let x be the unknown variable then the quadratic function y in x is given by
y = ax²+bx+c, where a, b, c are constants and a≠0
Given that a quadratic function y is:
y = x² +7x -9
Value of y when x = -2
y(-2) = (-2)² +7(-2) -9 = -19
Value of y when x = -1
y(-1) = (-1)² +7(-1) -9 = -15
Value of y when x = 0
y(0) = (0)² +7(0) -9 = -9
Value of y when x = 1
y(1) = (1)² +7(1) -9 = -1
Value of y when x = 2
y(2) = (2)² +7(2) -9 = 9
The missing values in the table are -19,-15,-9,-1,9
Therefore, option b is correct option.
Also, Learn more about the quadratic functions from the link below:
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Help plz due tomorrow
Answer:
D, (6,3)
Step-by-step explanation:
When you are reflecting something, you are reflecting the exact point, except any negative sign on the x-val, turns positive, so first, you end up with (4,3), shifting two units to the right, would cause it to go to (6,3).
what positive whole number can you multiply by 3 and add1,or multiply by 2 and add 8?
Answer:
7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.
Step-by-step explanation:
Multiplying the positive whole number 7 by 3 and adding 1 will get:
(7 × 3) + 1 = 21 + 1 = 22
Multiplying the positive whole number 7 by 2 and adding 8 will get:
(7 × 2) + 8 = 14 + 8 = 22
Therefore, 7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.
What does 6 1/2 mean in the situation
Answer:
2 ÷ 61
Step-by-step explanation:
The / means division so it's practically means you must divid
Kendra was asked to find the number of students who planned to attend the evening symphony performance. She
was told that 40 percent of the 50 students planned to attend. Kendra's work is shown below.
part 40x2 80
whole 100x2 – 200
What mistake did Kendra make?
ОООО
Kendra should have multiplied by 4 instead of multiplying by 2.
O Kendra should have divided by 2 instead of multiplying by 2.
Kendra should have added 40 and 50.
Kendra should have subtracted 40 from 50.
Answer:
I actually think it’s c I’m sorry if I’m wrong
Step-by-step explanation:
Answer:its B guys not c because kendra should of divde both by 2 and not multiplie it by 2 trust me
Step-by-step explanation:
It is B not A,C,D!
Linda had breakfast in a café. It cost $12.40. She paid with a $20 bill.
How much change did Linda get? Estimate first, then calculate the exact amount.
hi I want help . what is the prime factorization of 17.?
Well, the prime factorization would be 17 itself! This happens because 17 is a prime number.
If we take another example, like 13 or any other prime number, this will occur. Since 1 isn't a prime number, nor composite number, we won't include 1. Therefore, the prime factorization of 13 would also be 13 itself.
Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain?
A. 132.12 meters
B. 280.2 meters
C. 367 meters
D. 13,200 meters
Answer:
367 meters
Step-by-step explanation:
(220.2÷60)x100
Suppose A stock is worth $40. It goes up 10%. how much is it worth now?
Answer:
$44
Step-by-step explanation:
10% of 40 is 4
40+4=44
hope this helps :3
if it did pls mark brainliest
Use the interactive to adjust the values, r and 0, and
choose the correct statements based on your
observations.
The point revolves around the pole when ris
changed.
The point revolves around the pole
counterclockwise when 0 is negative.
The point revolves around the pole
counterclockwise when 0 is positive.
The point gets closer to or farther from the pole
when r is changed.
The point gets closer to or farther from the pole
when is changed.
Answer:
Numbers 3 and 4
Step-by-step explanation:
- The point revolves around the pole counterclockwise when θ is positive.
-The point gets closer to or farther from the pole when r is changed
Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore
the town. The movie will cost the family $36, and parking costs $4 per hour,
How long will the family be able to spend in Millersville if they want to spend less than $60 and
they don't have any other expenses?
Follow the steps to answer this question
I
1. Write an inequality that shows that Tyra's family spends less than their limit.
2. Solve your inequality Show your work
Answer:
They have to spend less that 6 hours in the town.
(60-36) = m
m divided by 4= 6
Step-by-step explanation:
Answer:
They have to spend less that 6 hours in the town.
(60-36) = m
m divided by 4= 6
Step-by-step explanation:
HOPE IT HELPSSS! :D
ill cashapp you rn If you get this Impossible question right
A cost regular sells for 59.00 it is on sale 20% what is the sale price of the coat
Answer:
ll.8 dollars
Step-by-step explanation:
The students in Mrs. Plumas two classes wrote a total of 200 letters to their pen pals. Every student wrote 4 letters. How many students are in each class, if the classes are equal in size?
Answer:
50
Step-by-step explanation:
200/4=50
There are 25 students in each class.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's assume that there are x students in each class.
Since there are two classes, the total number of students is 2x.
Now,
Since every student wrote 4 letters.
The total number of letters written = 4 x the number of students.
200 = 4 x (2x)
200 = 8x
x = 200/8
x = 25
Therefore,
There are 25 students in each class.
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What is 3.5 x 4.95? need help on this
Answer:
3.5 x 4.95 = 17.325
Step-by-step explanation:
May I have brainliest please? :)
Answer:
17.325
we know this is correct because five times three and a half is near this so we know its correct
please help asap question ten
Answer:
D. 2, 4
Step-by-step explanation:
6x+8y=44
5y = 20
y = 4
6x = 12
x = 2
If Toni is trying to calculate her net worth, which of the following items would go on the liabilities list? *
A. Original sale price of her car
B.Her Mortgage
C.Savings account balance
D. Value of her 401(k) plan
Answer:
B
Step-by-step explanation:
The only item that will serve as a liability is Her Mortgage. Option B is correct
Liabilities can be termed as money owned by a person or an amount of money borrowed with the intention to pay back after a period of time.
If Tony is trying to calculate her net worth, then we need to select a property that will serve as a debit for him instead of credit.
From the listed option, the only item that will serve as a liability is Her Mortgage
Learn more here: https://brainly.com/question/14921529
Plzzzzzzzz help me plzzzzzzzzzzzz
Answer:
$1.50 and 4.5 miles
Step-by-step explanation:
The constant of proportionality is basically just the slope of a line on a graph
Slope can be found by:
[tex]\frac {y_{2} - y_{1}} {x_{2} - x_{1}}[/tex]
10.50 - 7.50 = 3
7 - 5 = 2
3/2 = 1.50 = $1.50
_________________
135 miles / 30 days = 4.5 miles per day
How long is 50% of a 24-hour day?
Answer: Its 12 hours
Step-by-step explanation:
50% is equal to 1/2 so half of a day is 12 hours :)
-3/8 - 7/8 =
explicar el procedimiento por favor
Answer:
-1/4
Step-by-step explanation:
-3/8 - 7/8= 4/8=1/2
What is the perimeter of the figure?
Answer:
21.2 yd
Step-by-step explanation:
8 + 6 + 7.2 = 14 + 7.2 = 21.2
21.2 yd
To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.