We have been given that that function [tex]y=3(x-5)^2[/tex] is obtained from the graph of [tex]y=x^2[/tex]. We are asked to find the two transformations that can be used to obtain the transformed function.
We will use transformation rules to solve our given problem.
[tex]f(x-a)\Rightarrow\text{Graph shifted to the right by a units}[/tex], where a is any positive number.
We can see that the value of a is 5 for our given function, therefore, graph is shifted to right by 5 units.
Now we will use scaling rules.
[tex]f(x)\Rightarrow a\cdot f(x)[/tex]
If [tex]a>1[/tex], then function is stretched vertically by a factor of 'a'.
If [tex]a<1[/tex], then function is compressed vertically by a factor of 'a'.
We can see that value of a is 3. Since 3 is greater than, so function will be stretched vertically by a factor of 3.
Therefore, the function can be obtained by a vertical stretch and translation of 5 units to right and option J is the correct choice.
Please Help!!
Write an equation of the line that passes through each pair of points.
Answer: y=-2x + 3
Step-by-step explanation:
(0,3) and (2,-1)
3-(-1)= 4
0-2= -2
4/-2= -2 so the slope is -2 and we already know the y intercept is 3 because that is when x is 0.
so the equation will y= -2x + 3
Mary has taxable income of $40,000, with short-term capital gains of $2,500. What will be her capital gains tax rate and tax owed? Single Taxpayers: Income Brackets Tax Rate Income Bracket 10% 0 to 9,525 12% 9,526 to 38,700 22% 38,701 to 82,500 24% 82,501 to 157,500 32% 157,501 to 200,000 35% 200,001 to 500,000 37% > 500,000 Single Taxpayers: Qualified Dividends and Long-Term Capital Gains Tax Rate Income Bracket 0% 0 to 38,600 15% 38,601 to 425,800 20% > 425,800 A. 0% tax rate with no taxes owed B. 15% tax rate with $375 in taxes owed C. 22% tax rate with $550 in taxes owed D. 24% tax rate with $600 in taxes owe
Answer:
The correct option is B,15% tax rate with $375 in taxes owed
Step-by-step explanation:
Mary has a taxable income of $40,000 which implies that Mary falls into tax bracket of capital gains tax of 15% for taxable income between $38,601 and $425,800.
The amount capital gains tax payable is however the capital gains itself multiplied by the percentage applicable of 15% not the entire taxable income since that consisted of other income from other sources aside from capital gains
capital gains tax=$2500*15%=$375
Answer: Its C, the rationale is that short-term capital gains are taxed at income tax rate
Step-by-step explanation:
$2500=$550 22%
Plato
If f(x)=4x^2+1 and h(x)=3x+7 then f(x)*h(x) can be rewritten as
Answer:
[tex]12x^{3} +28x^{2} +3x + 7[/tex]
Step-by-step explanation:
Use the FOIL method...
multiply [tex]4x^{2}[/tex] by 3x, [tex]4x^{2}[/tex] by 7, 1 by 3x and 1 by 7 to find the answer
The multiplicative inverse of -2/3\
Answer:
The multiplicative inverse of -2/3 is -3/2
Step-by-step explanation:
u just flip the number and when u multiply them both u should have 1
-2/3 times -3/2= -6/6=1
What is cot of angle a?
Reduce fractional answers to lowest terms.
A
13
5
12
B
Answer:
5 / 12
Step-by-step explanation:
The cotangent is adjacent ÷ opposite
Opposite = 12
Adjacent = 5
5 / 12
Stefani is making a square quilt with a side length of x + 2 feet. If the quilt will have an area of 36 feet, what is the value of x?
Answer:
The value of x is 4
Step-by-step explanation:
Mathematically, we can calculate the area of the quilt by having the product of the side of the quilt by itself
Mathematically, the area of the quilt = L^2
This is (x + 2) * (x + 2)
This product is equal to 36 feet square
Thus;
(x + 2)^2 = 36
(x + 2)^2 = 6^2
Since the powers are equal, we equate the bases
x + 2 = 6
x = 6-2
x = 4
What is a simpler form of the radical expression? ^4sqrt625x^8y^12
Answer:
√625x12y8
Rewrite 625x12y8
as (5x3y2)4
.
4√(5x3y2)4
Pull terms out from under the radical, assuming positive real numbers.
5x3y2
Step-by-step explanation:
took the test :-) it's A. 5x^2|y^3|
solve for x
x²+11²+(x+5)²
Answer:
2 • (x2 + 5x + 73)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant
Step-2 : Find two factors of 73 whose sum equals the coefficient of the middle term, which is 5
Pulling out like terms/factors
Trying to factor by splitting the middle term
Answer: 2 • (x2 + 5x + 73)
Hope this helps.
Answer:
2x^2 + 10x + 146
Step-by-step explanation:
x^2 + 121 + (x+5)^2
x^2 +121 + (x+5)(x+5)
x^2 + 121 + x^2 + 5x + 5x + 25
2x^2 + 10x + 146
What is the solution to 2x-8 <12?
A. x<2
B. x<8
C. x<10
D. x<40
Answer:
A. x < 2
Step-by-step explanation:
2x - 8 < 12
2x < 12 + 8
2x < 20
x < 20/10
x < 2
(6 points) The diagram below, shows a shape. Work out the area of the shape.
......cm^2
Answer:
Step-by-step explanation:
Answer:
Area of the figure = Area of rectangle + Area of triangle
You have to extend the 4 cm line to touch the 16 cm line at 90⁰
Area of figure = 10 × 9 + 1/2 × 6 × 7
Area = 90 + 21 = 111 cm²
The table shows ordered pairs of the function . What is the value of y when ?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12.
–20
–8
8
48
Answer:
(B) -8
Step-by-step explanation:
Given the 2-column table below:
[tex]\left|\begin{array}{c|c}x&y\\--&--\\-3&14\\-1&10\\1&6\\4&0\\8&?\\10&-12\end{array}\right|[/tex]
Taking the pair (-3,14) and (-1,10)
[tex]Slope, m=\dfrac{10-14}{-1-(-3)} =\dfrac{-4}{2} =-2[/tex]
Taking the pair (1,6) and (4,0)
Slope, [tex]m=\dfrac{0-6}{4-1} =\dfrac{-6}{3} =-2[/tex]
Since the slope is constant, the table represents a linear function whose slope is -2. Therefore:
Taking the pair (8,y) and (4,0)
Slope, [tex]m=\dfrac{0-y}{4-8} =-2[/tex]
[tex]\dfrac{-y}{-4} =-2\\y=-2*4=-8[/tex]
Therefore, the value of ? on the y-column is -8.
Answer:
-8
Step-by-step explanation:
Rearrange w=3(2a+b)-4 to make a the subject
w = 3(2a + b) - 4
First, add 4 to both sides:
w (+4) = 3(2a + b) - 4 (+4)
w + 4 = 3(2a + b)
Next, divide 3 from both sides:
(w + 4)/3 = (3(2a + b))/3
(w + 4)/3 = 2a + b
Next, subtract b from both sides:
((w + 4)/3) - b = 2a + b (-b)
(w + 4)/3 - b = 2a
Finally, divide 2 from both sides:
((w + 4)/3 - b)/2 = (2a)/2
a = (((w + 4)/3) - b)/2
a = (((w + 4)/3) - b)/2 is your answer.
~
Answer:
[tex]\frac{w}{6} +\frac{2}{3} -\frac{3b}{6}[/tex]=a
Step-by-step explanation:
w=3(2a+b)-4 ---> add 4 to both sides
w+4=3(2a+b) --> distribute the 3
w+4= 6a+3b--> subtract 3b from both sides
w+4-3b=6a ---> to isolate the a divide both sides by 6
[tex]\frac{w}{6} +\frac{2}{3} -\frac{3b}{6}[/tex]= a ---> I hope this was what you were looking for
A bag contains yellow marbles and blue marbles, 23 in total. The number of yellow marbles is 7 less than 2 times the number of blue marbles. How many yellow marbles are there?
Answer:
8
Step-by-step explanation:
yellow marbles=2b-7
blue marbles=2b
2b+2b-7=23
4b=23+7
4b=30
b=30/4
b=7.5
yellow marbles=2b- 7
2 x 7.5 -7
15 - 7
=8
1.Nestor needs 750 centimeters of rope. Rope comes in length of 4 ½ meters and 9 meters at the hardware store 9 meters at the hardware store. Which length of rope should Nestor buy? Example: 4 ½ meters = centimeters 9 meters = centimeters Which length is greater? Explain your findings
Answer:
Nestor needs to buy 7 ½ meters rope
And: the length of the rope that is greater is : 9 meters
Step-by-step explanation:
From the length conversion table:
We know that:
1 meters = 100 centimetres
We are told that Nestor needs 750 centimeters of rope
Now; these ropes comes in the length of 4 ½ meters and 9 meters at the hardware store
To determine the length of rope should Nestor buy? ; we will need to first convert the length of the ropes in meters to centimeters first;
so
4 ½ meters to centimeters = 4 ½ × 100 centimeters = 450 centimeters
9 meters to centimeters = 9 × 100 centimeters = 900 centimeters
And Nestor needs to purchase 750 centimeters of rope;
So if ;
4 ½ meters = 450 centimeters
Then ; let x meters = 750 centimeters
So;
x meters × 450 centimeters = 4 ½ meters × 750 centimeters
x meters = (4 ½ meters × 750 centimeters) / 450 centimeters
x = 7 ½ meters
Also; if
9 meters = 900 centimeters
Then ; let x meters = 750 centimeters
So;
x meters × 900 centimeters = 9 meters × 750 centimeters
x meters = (9 meters × 750 centimeters) / 900 centimeters
x = 7 ½ meters
Thus; Nestor needs to buy 7 ½ meters rope
And: the length of the rope that is greater is : 9 meters
Answer:
Nestor should buy the rope that is 9 meters long
Step-by-step explanation:
Nestor will need to buy a rope that is longer than 750 centimeters so that he can easily cut it to serve his need. If he buys a shorter rope, it will be a lot more difficult to join to get the required length that he needs.
To know the length of his various options and determine the one that is best, we will convert all the ropes to the same unit (cm) and compare is with the required length.
Rope A: 4.5 meters
1 m = 100 cm
4. 5 cm = 4.5 X 100 = 450 cm
This is clearly shorter than is required
Rope B: 9 meters
1 m = 100 cm
9 m = 9 X 100 = 900 cm
This is clearly longer than is required, hence should be Nestor's choice
Out of the 50 students in Mrs. Green's class, 8 have a pet. What percent of the students in Mrs. Green's class have a pet?
The percent of students in Mrs. Green's class that have a pet is
%.
Answer:
4%
Step-by-step explanation:
Write an equation to represent the following statement.
The sum of j and 47 is 55.
Answer:
j+47=55
Step-by-step explanation:
“the sum of” means adding, so you add j and 47, which is or is equal to 55
j+47=55
Which equation is equivalent to 4.5 = 2a?
a = 2.5
a = 2.25
4.5a = 2
a + 2 = 4.5
Answer:
B) a = 2.25
Step-by-step explanation:
Isolate the variable, a. Divide 2 from both sides:
(4.5)/2 = (2a)/2
a = 4.5/2
a = 2.25
B) a = 2.25 is your answer.
~
Answer: its B
Step-by-step explanation: 1. identify the operation in the equation
2. use inverse operations to isolate the variable, division or multiplication property of equality
3. check the solution using substitution or estimation
the endpoints of the diameter of a circle have the coordinates (3,8) and(9,16) what are the coordinates of the center
HELP please answer both questions
Answer:
1) 6.28
2) 62.8
Step-by-step explanation:
Multiply pi by the diameter to get the circumfrence.
Answer:
6.28in and 62.8m
Step-by-step explanation:
C = d(3.14)
C = 2(3.14) = 6.28
C = 20(3.14) = 62.8
A diver was swimming 62 feet below sea level. He then dove 39 feet further down. He ascended 48 feet after a while. Find the new depth of the diver. *
Answer:
53 feet
Step-by-step explanation:
if you start with 62 feet and add 39 feet because he went down 62+39 you get 101 then if you subtract 48 because he went up, 101-48 you get 53 feet
Sonya found that x = StartFraction negative 4 Over 3 EndFraction is one solution of (6x + 4)2
Answer:
(6x+4)^2=16; x=0
Step-by-step explanation:
Answer:
It's 16 and 0
Step-by-step explanation:
It's the 4th and 1st answer on Edge
A hummingbird lives in a nest that is 4 meters high in a tree. The hummingbird flies 5 meters to get from its nest to a flower on the ground. How far is the flower from the base of the tree? (Pythagorean Theorem)
Answer:
distance = √(25-16) =√9 =3m
urgent i need it 20 points for whoever that does it
Answer:
C
Step-by-step explanation:
Took the test
Who ever helps me with all theses you will get 50 points
Answer:
All is correct what do you want us to do again
Step-by-step explanation:
Answer:
There already correct!
Step-by-step explanation:
And it doesn't give 50points it only gave 20points!!!!
I would answer it but you cant even see the picture of the questions......
I NEED HELP ON THIS SO I WILL GIVE A CROWN FOR ANSWER
A nursery has 15 bags of topsoil. Each planter holds 18 of a bag.
How many planters can be filled with the topsoil?
Enter your answer in the box.
planters
Answer:
270 planters can be filled with the top soil
Step-by-step explanation:
15 bags of topsoil
18 planter=1 bag
15x18=270
Hope this helps! Please mark brainliest :)
Answer:
270 planters can be filled with the top soil
Step-by-step explanation:
I Took The Test :)
Help! I don’t understand this!
Answer:
this is a 50 inch television
How do I graph this???
Answer:
See the image for answer.
Step-by-step explanation:
I solved this on my calculate. Hope this helps!!!
standard deck of 525252 cards contains 444 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 222 through 101010, a jack, a queen, a king, and an ace.
Bashir decides to pick one card at random from a standard deck of 525252 cards. Let FFF be the event that he chooses a face card (a jack, queen, or king of any suit) and SSS be the event that he chooses a spade.
What is P(F\text{ or }S)P(F or S)P, left parenthesis, F, start text, space, o, r, space, end text, S, right parenthesis, the probability that the card Bashir chooses is either a face card or a spade?
Answer:
0.4231 or 42.31%
Step-by-step explanation:
In a standard 52 card deck there are 13 spade cards (52/4) and there are 12 face cards (4 suits x 3 face cards). Moreover, 3 cards are both face and spade cards.
Therefore, the probability that the card Bashir chooses is either a face card or a spade is given by:
[tex]P(F\ or\ S)=P(F)+P(S)-P(F\ and\ S)\\P(F\ or\ S)=\frac{13}{52} +\frac{12}{52} -\frac{3}{52}\\P(F\ or\ S)=0.4231[/tex]
The probability is 0.4231 or 42.31%
Answer:
got it on kahn trust
Step-by-step explanation:
The growing political and economic influence of the European Union, the spread of American popular culture and political ideals, and the influence of the Internet are all examples of the __________ of global culture.
A.
westernization
B.
easternization
C.
socialization
D.
democratization
100 POINTS MARK BRAINLIEST Please select the best answer from the choices provided.
A
B
C
D
Answer:
A. westernization
Step-by-step explanation:
The definition of westernization is
"to adopt or be influenced by the cultural, economic, or political systems of Europe and North America."
We can see that the ideas were brought from Europe and North America which is the definition of westernization.
Also this is Social Studies not Mathematics.
When Elena throws a shot put during track and field practice, it travels an average of 26 feet with a standard deviation of 3 feet, and the distribution of lengths is approximately normal. Approximately what percentage of her shots will travel less than 23 feet? *
Answer:
15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 26, \sigma = 3[/tex]
Approximately what percentage of her shots will travel less than 23 feet?
This is the pvalue of Z when X = 23. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{23 - 26}{3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587.
15.87%, that is, approxiately 16% of of her shots will travel less than 23 feet.