Answer:
[tex](1)\; G(x)=2(x-14)^2+6[/tex]
Step-by-step explanation:
Assuming, right and up are positive directions.
The given parent function, [tex]f(x)=x^2[/tex]
Let [tex]f_1(x)[/tex] be the function when the parent function is stretched by a scale factor of 2.
So, [tex]f_1(x)=2f(x)[/tex]
[tex]\Rightarrow f_1(x)=2x^2[/tex]
Let [tex]f_2(x)[/tex] be the function when [tex]f_1(x)[/tex] is translated [tex]14[/tex] units right.
So, [tex]f_2(x)=f_1(x-14)[/tex]
[tex]\Rightarrow f_2(x)=2(x-14)^2[/tex]
Again, let [tex]f_3(x)[/tex] be the function when [tex]f_2(x)[/tex] is translated 4 units up.
So, [tex]f_3(x)=f_2(x)+6[/tex]
[tex]\Rightarrow f_3(x)=2(x-14)^2+6[/tex]
So, the resulting function, [tex]f_3(x)=G(x)=2(x-14)^2+6[/tex].
Hence, option (1) is correct.
I have no clue how to do my math do you think that you could help me
Answer:
maybe if i know the answer ill help
Given P(A)=0.8P(A)=0.8, P(B)=0.62P(B)=0.62 and P(A union B)=0.874P(A∪B)=0.874, find the value of P(A unionB)P(A∩B), rounding to the nearest thousandth, if necessary.
Use the inclusion/exclusion principle:
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)
So
P(A ∩ B) = 0.8 + 0.62 - 0.874 = 0.546
HELP PLEASE 50 points!!! Statistics
Answer:
The answers are A, C, and D
If you are given the points: ( 4 , 10 ) and ( 8 , 9 ), what are your y1 and y2?
A. y1 = 10 and y2 = 9
B. y1 = 4 and y2 = 8
C. y1 = 9 and y2 = 10
D. y1 = 10 and y2 = 9
Answer:
A and D are the same answer and thier both correct i think
Step-by-step explanation:
the y in the first ordered pair would be your y1 then the y in your second ordered pair would be your y2 y=the second number in every ordered pair
Given f(x) = 1/3(4-x),What is the value of f(16)?
Answer:
-1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
16f=−4
Step 2: Divide both sides by 16.
12,960= 10 x i really need help
Answer:129.6
Step-by-step explanation:Because it's the answer
Which function, g or h, is the inverse function for function f
Answer:
2,0
Step-by-step explanation:
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What is the solution to this equation?
2x+10=28
Answer:
x=9
Step-by-step explanation:
2x+10=28
Subtract 10 from both sides
2x=18
Divide by 2 on both sides
x=9
Answer:
x = 9
Step-by-step explanation:
2x = 28 - 10
2x = 18
x = 9
What is the slope for (-1,2) and (1,16)
Answer:
The slope is 7.
Step-by-step explanation:
(-1, 2) and (1, 16)
Slope is found using the following formula:
(y₂ - y₁) / (x₂ - x₁)
First, let's label the coordinates (these can be in any order, as long as the second numbers in each coordinate are in the y slots and the first numbers are in the x slots:
y₂: 16
y₁: 2
x₂: 1
x₁: -1
Now, substitute into the original formula:
(y₂ - y₁) / (x₂ - x₁)
(16 - 2) / (1 - (-1))
Simplify
(14)/(2)
7
The slope is 7.
Hope this helps :)
Amy wants to enlarge a rectangle with sides 9 and 12 inches. If
the shorter side of the new rectangle is 135 inches, how long will
the longer side be?
Answer: the longer side will be 180 inches.
Step-by-step explanation:
We are given that the rectangle has the sides, 9 inches and 12 inches . This means that the shorter side is 9 inches.
It has to been enlarge, meaning that it has gotten bigger to 135 inches.
This also means that it was multiplied by a number to get 135.
So divide 135 by 9 to find the number it was multiplied by, and multiply that number by 12 to find the length of the longer side.
135 / 9 = 15
12 * 15 = 180
This means the larger side is 180 inches.
Match each set of numbers with their least common multiple.
288 44 504 84 200 108
27, 12, and 36→______
25 and 8→______
14 and 12→_______
9, 8, and 7→______
22 and 4→______
32, 24, and 18→ _________
L.C.M of 27, 12 and 36 is 108
L.C.M of 25 and 6 is 200
L.C.M of 14 and 12 is 84
L.C.M of 9, 8 and 7 is 504
L.C.M of 22 and 4 is 44
L.C.M of 32, 24 and 18 is 288
What is least common multiple?This the the smallest number that a certain group of numbers can divide without remainder.
Analysis:
The product of 27, 12 and 36 is 11664, which can only be divided by 108.
Therefore 108 is the L.C.M of the numbers.
The product of 25 and 8 is 200 which is only divisible by 200.
The product of 14 and 12 is `168 which is divisible by 84.
The product of 9, 8 and 7 is 504, which is divisible by 504
The product of 22 and 4 is 88 which is only divisible 44
The product of 32, 24 and 18 is 13824 which is only divisible by 288.
In conclusion, The L.C.M of the numbers are 108, 200, 84, 504, 44, 288 respectively.
Learn more about L.C.M: brainly.com/question/233244
#SPJ1
Use the LCD to rewrite
4/7 and 3/10 with the same denominator
I need help too ;-; some one plsssssssss
A fraction represents a part of a whole.40/70, 21/70 are the same fractions like 4/7 and 3/10 with same denominator.
What is a fraction?A fraction represents a part of a whole
We need to write 4/7 and 3/10 with the same denominator
The given fractions are 4/7 and 3/10
in 4/7
If numerator and denominator is multiplied with 10
4/7*10/10
we get
40/70
i.e 4/7=40/70
Now
in 3/10
If numerator and denominator is multiplied with 10
3/10*7/7
we get
21/70
i.e 3/10=21/70
Therefore 4/7=40/70 and 3/10=21/70 are two fractions with same denominator.
To learn more on on fractions click https://brainly.com/question/6201432
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Ernest works in the shipping department at Wal-Mart. Each
Empty crate weighs 150 lbs. How many boxes, each weighing 35
lbs. can Ernest put in the crate if the total weight is to be at most 850
Ibs?
Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and Start Fraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won?
Answer:
Zach won
Step-by-step explanation:
For UA to be able to know the lowest score, we can express their score as percentage.
Vanessa score = -3 5/8 = -29/8
Express in percentage
= -29/8 × 100
= -2900/8
= - 362.5%
Zack score = -3 2/3 = -11/3
Express as percentage
= -11/3 ×100
= -1100/3
= -366.7%
Since the person with lowest score wins, hence Zack won. Note that the highest negative value serves as the lowest score.
Answer:
im sorry and i apologize if i offended u for the inconvenience of me not giving a and the correct answer is to be continued...
Step-by-step explanation:
The numbers in this sequence increase by the same amount each time.
Answer:
2, 4, 6, 8 , 10
Step-by-step explanation:
12. Water is being pumped into a pool at a constant rate of 8.25 gallons per minute. If the pool contained 1250
gallons of water initially, write a function for the number of gallons of water, g(t),in the pool after t minutes
of pumping water into the pool.
Answer:
[tex]g(t)=8.25t+1250[/tex]
Step-by-step explanation:
You can input any value for t, and that would give you the amount of water pumped in. Then, the +1250 represents the initial 1250 gallons that are in the pool.
what is 200 plus 0
Claire prides herself on being a smart investor. Recently she invested some money and doubled the amount.
Feeling good about herself, she spent $4000 on a trip around the world. At the same time she reinvested
what was left. After returning from her trip, she found out that the amount invested had tripled. She
threw a party that cost $5000 and put the remaining $10000 in the bank. How much money did she have at
the start?
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-3(x - 2) > 24
pls help
Answer:
x<-6
Step-by-step explanation:
1) -3x+6>24 (distribute)
2) -3x>18 (Cancel out 6 and subtract on both sides)
3) ×<-6 (Divide -3 by itself and 18, make sure to switch the sign to the opposite because you are dividing by a negative.)
hope this helps!
Answer:
-3x+6>24
-3x>24-6
-3x>18
-3x/-3 <18/3
x<-6
(-8a^2 - 1)(3a^2 - 5)
Answer:
13a² + 5
Step-by-step explanation:
Not 100% but 90% sure. Work on Picture.
When x=-3, then y=______
Answer:-1
Step-by-step explanation:
Answer: -6
Step-by-step explanation:
the line pass through (-3,-6)
HELP PLS
In an animal shelter, the ratio of dogs to cats is 5 to 4. There are 25 dogs. What is the total number of animals in the animal shelter? WRITE the proportion.
Answer:
45
Step-by-step explanation:
5-4
25-20
I need help ASAP yikes
Answer:
X=-2
Step-by-step explanation:
The rectangle shown is enlarged such that each side is multiplied by the value of the width, 2x. Which expression represents the perimeter of the enlarged rectangle? The rectangle shown is enlarged such that each side is multiplied by the value of the width, 2x. Which expression represents the perimeter of the enlarged rectangle? A. 4x + 2y B. 8x^2 + 2y C. 4x^2+2xy D. 8x^2+4xy
Answer:
The answer is D. 8x^2+4xyStep-by-step explanation:
We know that the expression for the perimeter is given as
P=2l+2B
now given that the value of the width is =2x
length= 4x
and the breadth=y
P=4x+2y
let us multiply both the length and the width with 2x we have
P=2x(4x+2y)
P=8x^2+4xy
the answer is
D. 8x^2+4xy
3. If Duane packs his lunch, it costs about $10.50 for 5 days. If he buys lunch at work, it
costs about $3.50 each day. How much does he save each week by packing a lunch?
(HINT: first find how much it costs to buy lunch for 5 days)
Answer:
he saves 7 dollars
Step-by-step explanation:
it would cost 17.50 to buy his lunch at work every day
Write and solve an equation. Make sure you show your work.
1. Tyler paid $178 to get his car repaired. He was charged $73 for parts and $35 per hour
for labor. How many hours did it take to repair his car?
Someone please show me how to do this step by step and please don’t use this as a free ticket.
Answer:
3h
Step-by-step explanation:
178-73=105
150/35=3
Yeah if someone could help me with this that would be nice ✨✨
Answer:
I think that it is 6 but i am uncertain.
Step-by-step explanation:
I AM UNSURE THOUGH
The vertices of rectangle HIJK,after a reflection over the y-axis, are H′(–3, 6), I′(5, 6), J′(5, –1), and K′(–3, –1). What were the coordinates of pre-image point J?
Answer:(-5,-1)
Step-by-step explanation:
Bottom price for the last post!!!.!
Find the distance between the two points in simplest radical form.
(3, -8) and (-6,4)
Answer:
15
I got it wrong on delta math, they said 15 was the right answer.