Which statement describes g(x) as a transformation off(x) and identifies an equation for g(x)?O Vertical stretch followed by a translation 1 unit left, sog(x) = f(1/9(x + 1)).O Vertical stretch followed by a translation 1 unit right,so g(x) = f(1/9(x -11)).O Horizontal stretch followed by a translation 1 unit left,so g(x) = f(1/9(x + 1)).O Horizontal stretch followed by a translation 1 unitright, so g(x) = f(1/9(x-1)).
Answers
If we have a function g(x) = f(cx) where c is a number between 0 and 1, g(x) is a horizontal stretch of f(x)
Then, if we have a function g(x) = f(x-a), we have a translation of a units to the right.
So, The answer is horizontal stretch followed by a translation 1 unit right, so
g(x) = f(1/9(x-1))
Answer: Horizontal stretch followed by a translation 1 unit right, so
g(x) = f(1/9(x-1))
Related Questions
Find the equation of a line with given slope and containing given point. Write the equation in sole-intercept m= -7/2, point (-8,-4)
Answers
Given:
There are given that the slope and the point:
\(\begin{gathered} m=-\frac{7}{2} \\ point:\left(-8,-4\right) \end{gathered}\)Explanation:
To find the equation, first, we need to see the formula for slope-intercept form:
So,
From the slope-intercept formula;
\(y=mx+b\)Where,
\(\begin{gathered} m=-\frac{7}{2} \\ \lparen x,y)=\left(-8,-4\right) \end{gathered}\)Now,
We need to find the value of b by using given information:
So,
Put all the given values into the given slope-intercept form:
\(\begin{gathered} y=mx+b \\ -4=-\frac{7}{2}\left(-8\right)+b \\ -4=28+b \\ b=-32 \end{gathered}\)Then,
Put the value of b and m into the slope-intercept form;
So,
\(\begin{gathered} y=mx+b \\ y=-\frac{7}{2}x+\left(-32\right) \\ y=-\frac{7}{2}x-32 \end{gathered}\)Final answer:
Hence, the equation of a line is shown below;
\(y=-\frac{7}{2}x-32\)Find the equation of a parabola with a focus at (3,1) and a directrix at y = 3.
Question 5 options:
A)
y = 1∕4(x – 3)2 + 2
B)
y = –1∕4 (x – 3)2 + 3
C)
y = –1∕4 (x – 3)2 + 2
D)
y = 1∕4(x – 3)2 + 3
Answers
Answer:
c ) y = –1∕4 (x – 3)2 + 2
Step-by-step explanation:
Answer:
directrix is; y= {-5}
Step-by-step explanation:
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!
Answers
Answer:
To find the perimeter of the triangle, you would add p + m + n. To find the area of the triangle you would use (p x m) /2. To find a missing side of the triangle, given that it is a right triangle, you would use p^2 + m^2 = n^2
Hello please answer :) will give brainlst
Answers
Answer:
D. In a chemical change, a new substance forms.
Step-by-step explanation:
The chemical reaction produces a new substance with new and different physical and chemical properties.
(hope this helps :P)
The total gallons of juice each person consumes a yearly has decreased 4.1% each year. In 1981 each person drink 16.5 gallons of juice on average. What was the approximate amount consumed per person in 2010?
Answers
Answer:
The approximate number of gallons consumed by a person in 2010 will be 4.9 gallons
Step-by-step explanation:
Recall that the formula for exponential decrease is given by a function of the form:
\(f(x)=A\.(1-r)^x\)
where A is the initial value, r is the rate of decrease, and x is the time elapsed.
In our case, the initial value of gallons of juice per person (at the starting time = 1981) is 16.5 gallons. So A = 16.5 gallons.
the rate of decrease "r" is the decimal form of: 4.1%, that is r = 0.041
So we have:
\(f(x)=16.5\.(1-0.041)^x\)
Now we can calculate what the average number of gallons would be in the year 2010, knowing that between 1981 and 2010 there is an elapsed time in years of: 2010-1981 = 29 years. Then:
\(f(29)=16.5\,(1-0.041)^{29}=4.9 \,\, gallons\)
The approximate amount consumed per person in 2010 is 4.9 gallons.
The formula that would used to determine the average gallon of juice consumed in 2010 is:
FV = P (1 - r)^n
FV = Future value
P = Present value = 16.5 gallons
R = rate of decrease = 4.1%
N = number of years = 2010 - 1981 = 29
16.5 x (1 - 0.041)^29 = 4.9 gallons
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find the HCF of 72,108 and 180
Answers
Answer:
36 is the answer
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
72: 2×2×2×3×3
108: 2×2×3×3×3
180: 2×2×3×3×5
here, common factors are 2,2,3 and 3 ..
so.. HCF: 2×2×3×3
•°•HCF=36 ..
please please i need help
Answers
Answer:
Second one
Step-by-step explanation:
if point Q(3,-4) is rotated +270° about the origin, what are the coordinates of Q?
Answers
Answer:
\(Q' =(-4,-3)\)
Step-by-step explanation:
Given
\(Q = (3,-4)\)
Rotation = +270 degrees
Required
Determine the new coordinates of Q (i.e. Q')
When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)
So:
\(Q = (3,-4)\)
Where:
\(x = 3\) and \(y = -4\)
Q' will be:
\(Q' =(-4,-3)\)
Do 5/3 and 30/18 form a proportion?
Answers
Answer:
yes
Step-by-step explanation:
5x6=30
3x6=18
Two parts: Make sure to answer EACH part:
1. What is the rate of change for each shop shown below?
2. Which shop has the GREATEST rate of change?
Answers
Rate of change for Carol's = 4.99
Rate of change for Wilma's:
line passes through (0, 0) and (2, 15)
slope = m = (15 - 0) / (2 - 0) = 7.5
Rate of change for Wilma's = 7.5
7.5 > 4.99
So Wilma's has the greatest rate of change.
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answers
Answer:
5
Step-by-step explanation:
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
Answers
Answer:
answer is D
Step-by-step explanation:
y + 1 = 3(x + 1)
An 84-square foot tabletop is starting to bow in the middle. Using only the scrap wood in her shop, a carpenter
adds a diagonal support piece to the square shaped tabletop. Which of the following lengths of scrap wood is
closest to the length the diagonal support piece?
Answers
Answer:
13.5
Step-by-step explanation:
Answer:
13.5
Step-by-step explanation:
4/1 x 2/3 cross multipliction
Answers
Given the function m(x) = 2x - 10, find x when m(x) = -4
Answers
Answer:
Step-by-step explanation:
kinda confusing but ill do my best :/
if what youre saying is m(x) = -4 like x = -4 then do this
plug in -4 for x and solve
= 2(-4) - 10
= -8 - 10
= -18
or are you saying like the whole equation is equal to -4 and we need to solve for x do this
plug in -4 for 'y'
-4 = 2x - 10
then solve for x
6 = 2x
3 = x
sorry if this is confusing but i hope this helps <3
how many marbles with a radius of 1 1/2 inches could be placed in a box that is 5” by 5” by 6”?
Answers
we can place 10 marbles with a radius of 1 1/2 inches in a box that is 5” by 5” by 6”.
How to solve the question?
To calculate the maximum number of marbles that can be placed in the given box, we need to first determine the volume of the box and the volume of a single marble.
The volume of the box is calculated by multiplying its three dimensions, which gives us:
5 x 5 x 6 = 150 cubic inches
The volume of a marble can be calculated using the formula for the volume of a sphere:
(4/3) x π x r³
where r is the radius of the marble. Since the radius of the marble is given as 1 1/2 inches, we convert it to a decimal form by adding 1 to 1/2, which gives us a radius of 1.5 inches. Substituting this value into the formula, we get:
(4/3) x π x 1.5³ ≈ 14.14 cubic inches
Now, we divide the volume of the box by the volume of a single marble to find the maximum number of marbles that can be placed in the box:
150 ÷ 14.14 ≈ 10.61
Since we cannot have a fraction of a marble, we round down to the nearest whole number, which gives us a maximum of 10 marbles that can be placed in the box.
Therefore, we can place 10 marbles with a radius of 1 1/2 inches in a box that is 5” by 5” by 6”.
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Jessica needs to know how much water her new fish tank can hold:
A rectangular prism with a length of 8 inches, a width of 4 inches, and a height of 9 inches.
Determine the total volume of the fish tank.
Answers
The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
The volume of a rectangular prism can be calculated using the formula:
V = l x b x h..........(i)
where,
V ⇒ Volume
l ⇒ length
b ⇒ width
h ⇒ height
From the question, we are given the values,
l = 8 inches
b = 4 inches
h = 9 inches
Putting these values in equation (i), we get,
V = 8 x 4 x 9
⇒ V = 288 in³
Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
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an expression equivalent to –8(2s–5)–4
Answers
Answer:
The answer:-16s+40-4
Answer:
-4 x (4s - 9)
Step-by-step explanation:
Find the slope-intercept form of the equation of the line that passes through the points AND graph
the line. (-3,5), (2,8)
Answers
Answer: y= 3/5x 6.8
Step-by-step explanation: The slope for these coordinates is 3/5 because the difference between 5 and 8 is 3, and the difference between -3 and 5 is 5. The y intercept is 6.8 because only with this y intercept the line goes through the points.
Help with the following equation 8x²-6x-5=x
Answers
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
Which of the following is equivalent to 3/8
0.0025
3.75
25/100
375/1,000
Answers
Answer:
375/1,000
Step-by-step explanation:
3/8=0.375
375/1,000 =0.375
Classwork Topic: Solve problems 25 May 2023 1. Jessica and Melissa shared 12 pieces of dried pears. Jessica ate = of the dried pears! Melissa ate . How Pieces did they eat in all? What fraction of the dried eat altogether? many pears did they 2. There were is children playing in the park. One third of the children went home. How many children stayed in the park?
Answers
Apologies, but your questions seem to have errors and incomplete information.
For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.
For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.
Please provide complete and accurate information for a precise answer.
x+4y=z=-7
2xy + 2z = 15
-3x+y=3z = -22
Answers
Answer:
x-4303
Step-by-step explanation:
Question 10 of 10
How does the graph of f (x) 3x +2 +4 relate to its parent function?
A. The parent function has been compressed.
B. The parent function has been translated up.
C. The parent function has been stretched.
D. The parent function has been translated to the left.
SUBMIT
Answers
The graph of f(x) relate to its parent function by B. The parent function has been translated up.
How does the graph of f(x) relate to its parent function?Given that
f(x) = 3x +2 +4
When evaluated, we have
f(x) = 3x + 6
The parent function of the above is
f(x) = 3x
When f(x) = 3x is compared to f(x) = 3x + 6, we have
Difference = 6
This means that the parant function is translated up by 6 units
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What is the measure of t? *
So
10
to
25°
Answers
The calculated measure of t from the given equation is 15 degrees
Calculating the measure of t?From the question, we have the following parameters that can be used in our computation:
10
to
25°
When expressed properly, we have
10° + t° = 25°
Evaluate the like terms
So, we have
t° = 15°
Hence, the value of t° is 25°
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ASAP can someone help me with this will mark you brainliest
Answers
Answer:
C
Step-by-step explanation:
hope this helps!
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for?
Answers
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.
To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.
We can set up a proportion to find the time:
(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)
Let's solve for the time taken for 146 km:
(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)
Substituting the given values:
(time taken for 146 km) = 32 minutes * (146 km / 48 km)
Calculating the value:
(time taken for 146 km) ≈ 32 minutes * 3.042
(time taken for 146 km) ≈ 97.344 minutes
Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.
To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:
Additional time = 97.344 minutes - 32 minutes
Additional time ≈ 65.344 minutes
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D What is the solution for the equation? 5 3 2-4+1 1
Answers
Answer:
539
Step-by-step explanation:
532 - 4+11= 539
PLS HELP :( WILL GIVE BRAINLIEST+ 25 POINTS
Answers
Answer:
D
Step-by-step explanation:
A. Saving money at the grocery store by using unit pricing.
a. Toilet paper A is 6 mega rolls for $4.59.
Toilet paper B is 12 mega rolls for $9.02
How to I find which one is the better deal?
Answers
Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.
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