The inverse variation is y = 9/x, using that equation we can see that n = 9.
How to find the value of n?An inverse variation between two variables x and y can be written as:
y = k/x
Where k is a constant.
We know that this inverse variation contains the point (3, 3), replacing these values we have:
3 = k/3
3*3 = k
9 = k
Then the inverse variation is:
y = 9/x
Now we want to find n such that (1, n) is on the relation above, then we will get:
n = 9/1
n = 9
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Problem 5
Each of the following statements regarding the transformation of the function
y=f(x)
is false.
State what is wrong in the statement and provide the correction that would make the statement true. For example, “The sun is a planet.” is a false statement. One possible correct answer is: “Mistake: The sun is not a planet. Correction: The sun is a star.”
Part a)
When graphing the function
y=f(x+3)
, all of the
x
values would be shifted to the right by 3 because the transformation is a shift right by 3 units.
Part b)
When graphing the function
y=−f(x)
, there is a reflection over the
y
-axis.
Part c)
When graphing the function
y=2f(x)
, all of the
y
values would be multiplied by
12
because the transformation is a vertical compression by a factor of 2.
Answer:
Part AWhen graphing the function y = f(x+3), all of the x values would be shifted to the right by 3 because the transformation is a shift right by 3 units.
Mistake: This is not a shift rightCorrection: ... all of the x values would be shifted to the left by 3 because the transformation is a shift left by 3 unitsPart BWhen graphing the function y=−f(x), there is a reflection over the y-axis
Mistake: This is not a reflection over the y-axisCorrection: ...there is a reflection over the x-axisPart CWhen graphing the function y=2f(x), all of the y-values would be multiplied by 2 because the transformation is a vertical compression by a factor of 2.
Mistake: This is not a vertical compressionCorrection: ... a horizontal compression by a factor of 2Note: "multiplied by 12" considered as typo otherwise this is to be included as correction
Answer:
the answer is A When graphing the function
y=f(x+3)
, all of the
x
values would be shifted to the right by 3 because the transformation is a shift right by 3 units.
If your car gets 25 miles per gallon, how much does it cost to drive 410 miles when gasoline costs $3.40 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
Step-by-step explanation:
410/25 = 16.4 gallons of gas
16.4*$3.40 = $55.76
I WILL GIVE BRAINLIEST solve the question below
Answer:
[tex]J' = (-2,-4)[/tex]
Step-by-step explanation:
Given
The attached figure
[tex]J = (-3,-6)[/tex]
[tex]D_{o,\frac{2}{3}}(x,y)[/tex]
Required: Determine J'
The given transformation: [tex]D_{o,\frac{2}{3}}(x,y)[/tex] means that the quadrilateral is dilated by a scale factor or 2/3.
So, J' is calculated as:
[tex]J' = \frac{2}{3} * J[/tex]
[tex]J' = \frac{2}{3} * (-3,-6)[/tex]
[tex]J' = (\frac{2}{3} * -3,\frac{2}{3} * -6)[/tex]
[tex]J' = (2*-1,2*-2)[/tex]
[tex]J' = (-2,-4)[/tex]
Hence, J' = (-2,-4)
Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 times as many villagers as he had in the one before. The game gave Chase 4 villagers to start with. Explain to Chase how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in his 17th town.
Answer:
Step-by-step explanation:
a sub n = a sub 1 x r ^ n-1
a sub n = 17 since that's what's in question
a sub 1 = 4 since that's the starting amount
r = 1.13 since that's the difference
a sub 17 = 4(1.13) ^17-1
a sub 17 = 4(7.0673255268)
a sub 17 = 28.2693021072
a sub 17 ≈ 28.37
Please vote brainliest
The number of villagers that Chase can create to live in his 17th town is 28.27.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) As it is given that the number of villagers that Chase had, in the beginning, is 4, and the number of villagers will increase at the rate of 1.13 every time Chase conquers a new village. Therefore, if Chase had n number of towns then Chase had conquered (n-1) number of towns because Chase already had 1 village in the beginning, thus, the villagers will increase (n-1) number of times by the rate of 1.13 times. Therefore, the equation can be written as,
[tex]A = 4(1.13)^{(n-1)}[/tex]
Thus, the function that represents the number of villagers when chase conquered n number of villages is [tex]A = 4(1.13)^{(n-1)}[/tex].
B.) We already know the function that represents the number of villagers, therefore, the number of villagers when Chase had conquered 17 villages can be written as,
[tex]A = 4(1.13)^{(n-1)}\\\\A = 4(1.13)^{(17-1)}\\\\A = 28.27[/tex]
Hence, the number of villagers that Chase can create to live in his 17th town is 28.27.
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Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are multiples of 4 or 7
Answer:
Multiples of 4= 28
Multiples of 7= 7,21,28,35,42
Step-by-step explanation:
I hope this helps, and have a great day! :)
Cruz is the editor of a magazine.
The magazine has 40 pages.
The magazine must have:
20% of the pages for adverts
1/4 of the pages for photos
the remaining pages for articles.
Work out the number of pages for articles in the magazine.
Show your working out.
Answer:
22
Step-by-step explanation:
20% * 40 = 20 / 100 * 40 = 800 / 100 = 8
1/4 * 40 = 40 / 4 = 10
So far we have use 8 + 10 = 18
There are 40 - 18 pages left
articles = 22
I need help please.
Answer:
b
Step-by-step explanation:
beacause 2x+60 thats the answer
At a used bookstore, Cindy bought 2 paperback books for $1.75 and some children's books for $0.75 each,
including tax. She spent a total of $5.75. How many children's books did Cindy buy?
A. 3
B. 4
C. 5
D. 7
Ο Α
B
ос
D
I Need The Awnsers For This
Answer: m<2= 126 and is supplementary angle
Is the equation 5x = 7x always, sometimes, or never true? Explain.
Answer:
Step-by-step explanation:
If x = 0, 5x = 7x is true.
If x = 1, 5x ≠ 7x
5x = 7x is sometimes true.
How do you do the last couple of questions?
Answer:
SANAOL COMPUTER
Step-by-step explanation:
SORRY DI KO PO ALAM EHH
1/8 x a number equals 2
Answer:
The number should be 16.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
1/8 * x = 2
x = 16
What is 7 miles per hour in feet per minute? [Round if necessary.]
Answer:
616 feet per minute
Step-by-step explanation:
7 miles=7(5280)=36,960 feet per hour
36,960/60=616 feet per minute
heloooo
(-24) + (-25) =
la respuesta es (-24)+(-25)-49
Answer:
- 49
Step-by-step explanation:
= -24-25(because - and + becomes -)
= -49
Find the average rate of change
Answer: The answer to this question would be -6.
I hope this helped!
Answer:
-6
Step-by-step explanation:
g(-3) - g(0) / -3-0
= [2(-3²) + 10] - (0 + 10) ÷ -3
= (28 - 10) / -3
= -18/3
= -6
Write each mixed number as a percent.
1. 1 4/5
Answer:
180%
Step-by-step explanation:
Is the relation a function ?
10 pontos
10 points
4. What is the area of the composite figure?
6 cm
9 cm
L
2 cm
10 cm
A. 58 cm
O B. 68 cm
C. 88 cm
D. 48 cm
Answer:
hope it helped have a good day mate
What is the length of the unknown side?
16
12
A 14 units
B) 20 units
C 28 units
D) 200 units
Answer:
B)20 Units is the answer for it
Pls help me I’ll give out brainliest please dont answer if you don’t know
Answer:
$8.65
Step-by-step explanation:
1.25+4.75+2.50=8.5
8.5+0.056(5.6%)=8.65
a $5 bill is exchanged for 72 coins having a total calue.of $5. Some of the coins are nickels and the rest are dimes. How many dimes are in the exchange?
Hi there!
Ok so we know that every nickel is €5 and every dime is €10...
Let think...
If it is 30 nickels it would be 150 cents and would also be 1.50$...
Now we know that there is 42 dimes left.. let see if it can be equaled.
[tex]42[/tex]·[tex]10=4.62[/tex]
Adding both together would be 6.12 and it’s more than 5$ so this means that the nickels must be more.
Now let think again.. if it would be 44 nickels then the rest for 5.00 would be 2.20 and 72 subtract by 44 is 28. 28 multiply by 10 is perfectly 2.80.. now let check...
[tex]44[/tex]·[tex]5=2.20[/tex]
[tex]72-44=28[/tex]
[tex]28[/tex]·[tex]10=2.80[/tex]
[tex]2.20+2.80=5.00[/tex]
Therefore, the total of dimes would be 28...
4b+5=1+5b
B=____
What do I do....I kinda forgot how to do this...
Answer:
b = 4
Step-by-step explanation:
4b + 5 = 1 + 5b
4b-5b + 5 = 1
4b-5b = 1 - 5
-b = 1 - 5
-b = -4
-b = -4
b - 4
If x= 9 in what is the surface area of the geometric shape formed by this net?
Answer:
D
Step-by-step explanation:
Surface Area = 2×(9×9 + 9×27 + 9×27) = 1134 inches2
A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box
and the bars weigh 18.55 oz. What is the weight of each cereal bar?
Answer:
Step-by-step explanation:
Answer: the answer is 6.25
Step-by-step explanation:
What is the least common denominator for 1/3 and 3/4? please I need this quickly
Answer:
12
Step-by-step explanation:
A college alumni office is choosing a new alumni board of 12 people. They have 25 total applicants.
How many different combinations without repetition of 12 people are there?
Answer:
5200300
Step-by-step explanation:
Use Combination
25C12=25!/12!(25-12)!The different combinations without repetition of 12 people will be equal to 5,200,300.
What is a Factorial?When a whole number is multiplied by each natural number underneath it, the result is known as its factorial. The symbol "!" can represent the idea of a factorial. As a result, "n factorial" is just n and is defined as the sum of the first n natural integers.
As per the given information in the question,
Total number of people chosen by the board = 12
Total number of applicants = 25
Then the number of combinations without repetition will be = ²⁵C₁₂
= [tex]\frac{25 !}{12!(25-12)!}[/tex]
= 25!/(12! × 13!)
= 5,200,300
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I need helppp picture is provided
write a linear function in slope intercept form only that corresponds with this table
I have to turn this in at 5:00 pls help!!!
select two choices that are equivalent to 5v-12v+3v=
Answer:4v
Step-by-step explanation: