Given f(x)=2x+4 , describe how the graph of g compares with the graph of f.
g(x)=2(0.4x)+4
Please help
Answers
The function g(x) is a horizontal dilation of scale factor k = 5/2 of function f(x).
How the two graphs compare?We know that f(x) is a linear function:
f(x) = 2x + 4
Here we know that:
g(x) = 2*(0.4x) + 4
Notice that function g(x) can be written as:
g(x) = f(0.4*x)
So we have a horizontal dilation, remember a horizontal dilation of scale factor k can be written as:
g(x) =f(x/k)
Notice that 0.4 = 2/5
Then we have a horizontal dilation of scale factor 5/2.
Learn more about horizontal dilations:
https://brainly.com/question/3457976
#SPJ1
Related Questions
when we keep the same base do we multiply the exponent add or subtract
Answers
Answer:
multiply the exponent
Step-by-step explanation:
Answer:
Step-by-step explanation:
Example of Power-to-Power Rule: When we have 1 base and 2 exponents, we MULTIPLY THE EXPONENETS
(M^9)^4 =M^ (9×4) =M^36
strengths and limitations of visually interpreting histograms
Answers
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
To know more about statement visit :
https://brainly.com/question/27839142
#SPJ11
Kay is making beaded belts for her friends from 6.5 meters of cord. One belt uses 0.625 meter of cord. How many belts can she make? Show your work.
Answers
Answer:
10 belts
Step-by-step explanation:
6.5 meters of cord / 0.625 meters per belt = 10.4 belts
Because 0.4 meters of cord is not enough for a belt, the answer is 10.
How do I do these? Thanks for the help
Answers
What is the formula for the exterior angle measures of a triangle?
A. x + y + z = 180
B. z = x + y
Answers
I need help plz quickly!!:)
Answers
Answer:
the first option (2x+3y=-6)
Step-by-step explanation:
A tank of water is in the shape of a right circular cone with height 8 meters and base radius 26 meters. The tank is being filled with water at a rate of 12m3/s. When the radius of the top of the water is 10 meters, how fast is the depth of the water changing
Answers
The depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.
To find the rate at which the depth of the water is changing, we can use related rates.
Given:
Height of the cone (h) = 8 meters
Base radius (r) = 26 meters
Rate of filling (dV/dt) = 12 m³/s
Radius of the top of the water (x) = 10 meters
First, we establish the relationship between the height and radius of the cone using similar triangles. The ratio of the height to the radius is constant, so we have h/r = 8/26.
Next, we differentiate both sides of the equation with respect to time (t) to find dh/dt in terms of dx/dt. This gives us (dh/dt)/(dr/dt) = 0.3077.
We can then substitute the given values into the equation: (dh/dt)/(dx/dt) = 0.3077. Rearranging the equation, we find that dx/dt = (dh/dt) / 0.3077.
To find the value of dh/dt, we can substitute the given rate of filling, dV/dt = 12 m³/s, into the equation. Solving for dh/dt, we get dh/dt = 3.693 m/s.
Finally, we substitute the values of dh/dt and 0.3077 into the equation to find dx/dt. This gives us dx/dt ≈ 0.39 m/s.
Therefore, the depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.
To know more about Depth visit:
https://brainly.com/question/13804949
#SPJ11
Two firms producing identical products engage in price competition. Cost of firm 1 is $20 per unit produced and cost of firm 2 is $15 per unit produced. There are no fixed costs. Firms produce only after they learn the quantity demanded. Each firm can choose any real number in the interval [15,25] as its price.
For tie-breaking we will assume that if both firms set the same price, all consumers purchase from firm 2.
The payoff/profit function of firm 1 is:
(p1 - 20)(100 - p1) if p1 is less than or equal to p2,
0 if p1 is greater than p2
The payoff/profit function of firm 2 is:
(p2 - 15)(100 - p2) if p2 is less than p1,
0 if p2 is greater than or equal to p1
Given all of this information, solve the following parts of the problem:
a) is p1 = 20, p2 = 19.50 a Nash Equilibrium?
b) is there a Nash Equilibrium in which Firm 2 makes a positive profit?
c) How many strategies does player 1 have?
d) is p1 = 15, p2 = 15 a Nash Equilibrium?
e) is p1 = 21, p2 = 21 a Nash Equilibrium?
Answers
a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.
b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.
c) Player 1 has infinitely many strategies.
d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.
e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.
What is Nash Equilibrium?Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.
Finding Nash Equilibrium
a) Is p1 = 20, p2 = 19.50 a Nash Equilibrium?No. Firm 1 has an incentive to decrease the price to 19.49, thus breaking the tie in its favour. So p1=20, p2=19.5 is not a Nash equilibrium.b) Is there a Nash Equilibrium in which Firm 2 makes a positive profit?Yes. There are several equilibria in which Firm 2 makes a positive profit. One such equilibrium is when both firms charge the same price of 15, at which both firms earn a profit of 375.c) How many strategies does player 1 have?Player 1 has infinitely many strategies to choose from as they can choose any real number in the interval [15,25] as their price.d) Is p1 = 15, p2 = 15 a Nash Equilibrium?Yes. This is a Nash Equilibrium because neither firm has an incentive to change their strategy as they are earning non-zero profits. Both firms earn a profit of 375.e) Is p1 = 21, p2 = 21 Nash Equilibrium?No. If Firm 1 changes its price to 20.99, its profit increases from 405 to 407.99. Therefore, p1=21 and p2=21 is not a Nash Equilibrium.Learn more about Nash equilibrium at
https://brainly.com/question/32714160
#SPJ11
y = 3x
-3.x - y = -24
solve by substitution
Answers
-6x = 24
x= -4
y= 3(-4)
y=-12
Help -crys- "pacman traveled 18 feet every 6 seconds. pacman's distance is proportional to time. (im not in high school im in middle school i dont know why it says that)
Constant of Proportionality
k=___
Answers
Based on the distance that Pacman traveled for every 6 seconds, and the distance being proportional to time, the Constant of Proportionality is 3.
How to find the constant of proportionality?The Constant of Proportionality shows how the quantity of a variable increases of decreases as the quantity of another related variable increases or decreases as well.
In the distance traveled by Pacman, the constant of proportionality can be found by the formula:
= Distance traveled / Time traveled
= 18 feet / 6 seconds
= 3 feet per second
Find out more on the constant of proportionality at https://brainly.com/question/28413384
#SPJ1
A rectangle is inscribed in a parabola y^2 = 16x with the side of the rectangle along the latus rectum of the parabola. If the area of the rectangle is maximized, compute its perimeter.
a. 24.63
b. 13.69
c. 14.57
d. 20.69
Answers
The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.
To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.
The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).
To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.
Comparing the two equations, we get:
4a = 16
a = 4
Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.
Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.
Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.
Substituting x = 8 into the equation of the parabola, we get:
\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)
Therefore, the width of the rectangle is approximately 11.31 units.
The perimeter of the rectangle is given by the formula:
Perimeter = 2(length + width)
Plugging in the values, we have:
Perimeter = 2(16 + 11.31)
Perimeter ≈ 2(27.31)
Perimeter ≈ 54.62
Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.
To know more about Area, visit
https://brainly.com/question/25292087
#SPJ11
Suppose you have a deck of 52 cards. Let:
A: draw a 7
B: draw a diamond
Find the probability of A U B and write as a fraction
Answers
Answer:
16/52
Step-by-step explanation:
A U B= A + B - A ∩ B
A= 4/52
B= 13/52
A∩B= 1/52 (it's 1/52 because there is only one 7 of diamonds in the deck)
4/52+13/52-1/52= 16/52
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 3 : 4. Find the number of blue marbles in the bag.
Answers
Answer:
16
Step-by-step explanation:
3 divided into 12 =4
4x4=16
4 divided into 16 =4 so 16
A small swimming pool contains 6 kiloliters of water. How many liters of water does the pool contain?
Answers
the pool contains 6,000 liters of water
Answer:
6000
Step-by-step explanation:
There's 0.001 kiloliters in a liter
1kl=1000 liters
if the demand curve shifts to the left, what happens to price and quantity?
Answers
Answer:
A lower price and quantity would result.
Which of the following lists of ordered pairs is a function?
A) (1,1), (2,2), (3,1), (3,2)
B) (-2,3), (2,4), (-3,6), (3,7)
C) (0,3), (-1,4), (1,6), (-1,7)
D) (2,5), (3,-4), (4,7), (2,2)
Answers
Answer:
B
Step-by-step explanation:
its B because the input for every pair has the same output, if the input had different outputs it would be considered not a function. Imagine it like a vending machine, if you were to press 3 on the vending machine you would get whatever 3 was, but if you pressed 3 and you get something else besides whatever 3 is it would be broken. I hope this was helpful, I struggled learning this stuff but now I got it down lol.
Charlotte is at a baseball game in the upper deck of the stadium. She is 200
200
feet away from home plate. If the angle of depression to the field is 38°
38
°
, at what height above the field is Charlotte sitting?
Answers
Answer:
123.1323
Step-by-step explanation:
Please Answer this ill brainliest
Answers
Answer:
30 onions in each row. I think he could because 600/10 is 60.
The following system of linear equations is shown in the graph.
y=1/4x+5
x-4y=4
How many solutions does the system of linear equations have?
A. No solution
B. Infinitely many solutions
C. One solution at (4,0)
D. One solution at (0,-1)
Answers
Answer:
Step-by-step explanation:
The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.
A. No solution
y = 1/4x+5
x - 4y = 4
You can simplify the second equation into y = 1/4x - 1
Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.
you are ordering shirts for a club at your school. the function f(x)=8x+12 represents the cost of ordered x shirts how much would it cost to buy 32 shirts
Answers
The cost of ordering shirts for a club is 268 units.
Define Function.
A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.
This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).
The statement that f is a function from X to Y using the function notation f: X→Y
The function that represents the cost of the shirts(x) is f(x) = 8x+12
Now, for x = 32
f(x) = 8x+12
f(32) = 8(32) + 12
= 256 +12
f(32) = 268 units
.
To know more about Function visit:
brainly.com/question/12431044
#SPJ1
PLEASE please help me with this!! its due tonight. THANK YOU.
explaining your answer = brainliest
the area of the parallelogram is 49 square centimeters.
y = ___ cm
Answers
Answer:
\(y = 12.25\)
Step-by-step explanation:
Area of parallelogram = \(49 {cm}^{2} \)
∴ Side of Parallelogram = \(s = \frac{perimeter}{4} \)
\(∴ \: s = y\)
\(y = \frac{49}{4} \)
\(y = 12.25\)
Hope it is helpful...The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. how many times smaller is the bacterial cell than the amoeba cell? write the final answer in scientific notation with the correct number of significant digits. 1.4 x 101 7 x 101 143 x 101 7 x 103
Answers
The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
What are scientific notations?
Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.
Calculation of the amount by which a bacterial cell is smaller than the amoeba cell
Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)
The length of a bacterial cell in scientific notations is 5 × 10^(- 6)
To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.
= 3.5 × 10^(- 4) / 5 × 10^(- 6)
= 0.7 × 10^(2)
= 7 × 10^(1)
Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
To learn more about the scientific notations, visit here:
https://brainly.com/question/10401258
#SPJ4
Jayden said the answer is (5x + 2)(x-6). Chelsea said the answer is (5x - 2)(x + 6). Who is correct? Explain your reasoning. ( points)
Answers
Answer:
what is the question?
Answer to what?
An angle measures 142° less than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
19° and 161°Step-by-step explanation:
A - an angle
S - its suplementary angle
A = S - 142°
Suplementary angles add to 180° so:
A + S = 180°
S - 142° + S = 180°
2S = 322°
S = 161°
A = 161° - 142° = 19°
You cook a pork roast in an oven for 2 hours and 45 minutes. Let $f(t)$ be the temperature (in degrees Fahrenheit) of the roast $t$ hours after being placed in the oven. Explain the meaning of each statement.
Answers
In linear equation, 2 hours and 45 minutes, the temperature of the pork roast is 165 ° F.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
The temperature of the pork roast is greater at 3 hours than at 2 hours and 45 minutes.
After 2 hours and 45 minutes, the temperature of the pork roast is 165 ° F.
f(a) = 67 the temperature of the pork roast is 67° F. When it is placed in the over .
f( 2.45 ) = the temperature of pork roast is 65° F when its done cooking.
f( 2.45 ) = the temperature of pork roast decrease between 2 hours and
45 min and 3 hours .
Learn more about linear equation
brainly.com/question/29739212
#SPJ1
y^2 - 19 = 0 find the sum and product
Answers
Answer: Sum of the roots: √19 - √19 = 0
Product of roots: (√19)(-√19) = -19
Step-by-step explanation:
y2 - 19 = 0
add 19 to both sides
y2 = 19
take square root of both sides
y = ±√19
So y = √19 or y = -√19
A coffee seller makes a salary of 3,500 dollars per month plus $12 commission for every $100 of coffee he sells. a case of coffee costs $25. write an equasion that you can use to find the number of cases of coffee the salesman needs to sell to get a certain paycheck at the end of the month.
if the payment at the end of the month is p, the number of cases is c = ?
Answers
The coffee seller must have sold 130 coffee cases but for him to make at least $3650, he must've sold 131 cups of coffee
The given information is:
monthly salary = $3500
commission = $12
amount due for commission = $100
cost of coffee = $25
total amount = $3650
These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.
If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.
The number of coffee cases inside $100
100/25=4
This shows that for every 4 coffee cases sold, she made ($100 + $12) as profit.
If 4 coffee = $112
The number of coffee will give us $3650
4 coffee=112
x coffee=3650
x=4*3650/112
x=130.35
From the calculations above, he must've sold at least 131 cups of coffee to make $3650.
To know more about word problems:
https://brainly.com/question/26488449
#SPJ4
23. Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less
How old could Jeremy be?
Let
Inequality:
Answers
The age of Jeremy could be less than 22 years
How to determine how old Jeremy could be?From the question, we have the following parameters that can be used in our computation:
Jeremy = Rachel - 2
Let Jeremy = x and Rachel = y
So, we have
y = y - 2
Their ages added together is less than 46
So, we have
x + y < 46
This gives
x + x + 2 < 46
So, we have
2x < 44
Divide
x < 22
Hence, Jeremy could be less than 22 years
Read more about inequality at
https://brainly.com/question/32124899
#SPJ1
Question
Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46
How old could Jeremy be?
HELP!!
What will most likely happen in the absence of a vacuole?
Photosynthesis will not take place.
Genetic information will not be transmitted by the cell.
Energy will not be released during cellular respiration.
The cell will not store food, water, nutrients, and waste.
Answers
Answer:
if vacuole are absent in plant cell then there is no storage of food and ions in the process of and permeability of cell may be distorted
HELP PLEASE!!! 100 POINTS!!
Answers
Answer:1,3,4,6 are ploymorial
Step-by-step explanation: Its pretty easy, the short ones and the ones with fractions are non.
Answer:
1,3,4,6 are ploymorial
Step-by-step explanation: