Luc is correct in stating that the line will remain the same with certain dilation centers, such as the origin (0, 0) and the point (3, -4). These centers of dilation will cause a scale factor of 2, but the line will remain the same.
To check if Luc is correct, we can calculate the points of the dilation with scale factor 2.
For the origin (0, 0):
Point A: (x, y) = (0, 3)
Point B: (x, y) = (-4, -3)
Dilated Point A: (x, y) = (0, 6)
Dilated Point B: (x, y) = (-8, -6)
Equation of the dilated line: y = -4x + 6
This shows that the line is dilated with scale factor 2, but is the same line.
For the point (3, -4):
Point A: (x, y) = (3, -1)
Point B: (x, y) = (-1, -7)
Dilated Point A: (x, y) = (6, -2)
Dilated Point B: (x, y) = (-2, -14)
Equation of the dilated line: y = -4x + 3
This shows that the line is dilated with scale factor 2, but is the same line.
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if f(x) =mx + c , find f(1)=5 and (-2) =1
Answer:
f(4) = 11 → mx + c = 11 → 4m + c = 11.
f(5) = 13 → mx + c = 13 → 5m + c = 13.
Subtract #1 from #2, giving m = 2.
Then, for x=4, mx + c = 11 → 2(4) + c = 11 → c = 3.
Finally, for x=2, mx + c = 2(2) + 3 = 7.
Answer:
sorry
Step-by-step explanation:
Autumn is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Number of years
1
2
3
Car 1 (value in dollars)
38,000
32,000
26,000
Car 2 (value in dollars)
38,000
32,300
27,455
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)
Part C: Autumn wants to purchase a car that would have the greatest value in 6 years. Will there be any significant difference in the value of either car after 6 years? Explain your answer, and show the value of each car after 6 years. (4 points)
(10 points) ALGEBRA 1 only
Car 1
26000 - 32000 = 32000 - 38000 = -6000Since the difference is common this is a linear functionCar 2
32300/38000 = 27465/32300 = 0.85Since the ratio is common this is an exponential functionPart BCar 1
V(x) = 38000 - 6000xCar 2
V(x) = 38000*0.85ˣPart CFind V(6) for both cars and compare
Car 1
V(6) = 38000 - 6*6000 = 2000Car 2
V(6) = 38000*0.85⁶ = 14331.68As we see the difference is significant and car 2 has much greater value
A class is learning about proportions and ratios, so the teacher decides to use the data about students in the local high school. There are 500-600 students and 29 - 32% of the student body participates in athletics. Which of the following is the most reasonable estimate of the number of students who are considered athletes
Using the provided data, We should consider the mid-value for the number of students and take the average of percentage to find the estimate number, The answer is 168.
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make decisions, predictions and gain knowledge from data. It involves using statistical methods to collect, summarize, and draw conclusions from data. It is used in various fields such as business, economics, social science, engineering, and medicine. It helps to make sense of complex data and make informed decisions.
What do you mean by estimate?In statistics, an estimate is a value that is calculated from a sample of data in order to approximate a population parameter. The most common examples of estimates are sample mean, sample proportion, sample standard deviation, and sample variance. These estimates are used to infer information about the population from which the sample was drawn. For example, an estimate of the population mean is calculated by taking the average of a sample of data and using that value to infer the value of the population mean.
mid-value of 500-600 = 550
average % = 30.5%
Athletes number = 30.5% of 550
=168
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Katelyn needs to cover her sofa cushions. If each cushion is a 10 in. by 11 in. by 4 in. rectangular prism, and there are 3 cushions that make up her sofa, determine how many square inches of fabric she needs to cover ALL the cushions on the sofa.
Answer:
1,164 in²
Step-by-step explanation:
the area of 1 sofa cushion =
2× ( 10×11 + 10×4 + 11×4)
= 2 × (110+40+44)
= 2×(194)
= 388 in²
the fabrics she needs to cover 3 sofa cushions =
3 × 388 = 1,164 in²
Which of the following are irrational numbers?
Choose two correct answers.
3.05
√17
√27
√81
Answer:√17
√81
√27
This 3 numbers are irrational number
Answer:
17 and 27 are irrational
Step-by-step explanation:
What is the surface area of the right rectangular prism with square bases
pictured below with measurements a = 5 cm, b = 8 cm?
Answer:
210 cm²
Step-by-step explanation:
SA = Ph + 2B
where SA = surface area
P = perimeter of the base
h = height of the prism
B = area of the base
SA = [(8 + 8 + 8 + 8)(5) + 2(5²) ]cm²
SA = 210 cm²
Answer:
288 cm^2
Step-by-step explanation:
The cost price of an article is Rs
4500, find its selling price with
20% profit*
with the formula,
PROFIT=SP-CP/CP×100
the answer is
Rs 5400
therefore, Rs.5400 is the selling price.
The sum of the interiors angle of any polygon is 360°
Answer:
It depends on the # of sides
3 sides = 180 degrees
4 sides = 360 degrees
5 sides = 540 degrees
6 sides = 720 degrees
7 sides = 900 degrees
8 sides = 1080 degrees
9 sides = 1260 degrees
10 sides = 1440 degrees
Refer to the graph What conclusion can you make about the relationship between the number of items sold i and the
amount of profit earned p?
A. There is no relationship between the number of items sold and the amount of profit earned
B. There is a nonproportional relationship between the number of items sold and the amount of profit earned.
C. There is a linear relationship between the number of terns sold and the amount of profit earned
D. The number of items sold is equal to the amount of profit
Answer:
Should be C
Hope it helps :)
the monthly cost for 43 min is $17.96 and the monthly cost for 94 min is $24.72 what is the monthly cost for 88 min
Therefore , the solution to this problem of equation is y = 16.95 cost for 94 minutes.
Explain the equation.A mathematical equation is a formula that links two statements by indicating their equivalence with the equal sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The relationship between two sentences on either side of a letter is expressed mathematically. There is frequently only one variable, which doubles as the symbol. say that 2x - 4 Equals 2.
Here,
y = mx + b
(50,13.98)(78,17.06)
slope = (17.06 - 13.98) / (78 - 50) = 3.08 / 28 = 0.11
slope(m) = 0.11
use either of ur points...(50,13.98)...x = 50 and y = 13.98
now sub into the formula and find b, the y int
13.98 = 0.11(50) + b
13.98 = 5.5 + b
13.98 - 5.5 = b
8.48 = b
so our equation is : y = 0.11x + 8.48.......for 94 minutes...sub in 77 for x
y = 0.11(94) + 8.48
y = 8.47 + 8.48
y = 16.95 <=== this is the cost for 94 minutes
Therefore , the solution to this problem of equation is y = 16.95 cost for 94 minutes.
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Suppoe that the tatitical power of a tudy deign i 80% to detect a treatment effect of 0. 5 tandard deviation, and that take-up of the program i 100%. Other thing equal, do we have more, le, or the ame amount of power to detect an effect ize of 0. 4 SD?
The correct option is option C which states that , less than 80% power to detect the standard deviation is 0.4.
We know that the power is less and the effect size is small therefore we can say that all other things given as equal, it's harder to detect than the larger effect. As a result power is reduced.
Statistical power is a measure of research efficiency that is estimated before the study begins . This is done so as to predict the likelihood of discovering an actual effect rather than receiving a false negative result or, in the worst case scenario, overestimating the effect by identifying noise in the data.
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Write an equation using the explicit formula to represent each graph or scenario then rewrite the formula in function form
The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
The first function is linear, with a y-intercept of 20, and a slope of 4:
S(x)=4x+20
The second function is exponential and has a multiplier of 2 and an initial value of 3:
J(x)=3(2)x
The game number for each function is represented by x, while the score for each game is represented by y. Each has a domain of 0, 1, 2, 3, 4, 5, 6, 7 and 8.
The exponential function's y-intercept is 3, while the linear function's y-intercept is 20. The y-intercept for each is obtained by substituting 0 for x in each case.
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A bookstore had 90 copies of a magazine. Yesterday, it sold 2/5 of them. Today, it sold 2/3 of what remained. How many copies does the bookstore have left?
Answer:
24 magazines
Step-by-step explanation:
Okay, I hope this is right...
So I did
90 * 2/5= 36
and then,
36 * 2/3= 24
Help please I need help !!!
Answer:
with what nothing here to help you with. so is there an actual question you need help with?
1 Find the sum: 34.7 + 7.5 = ? A. 42.2 OB. 4.22. OC. 422 46
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
add 34.7 and 7.5 by lining up the decimal points and then adding the top and bottom
How do you read FG stats?
Field goal stats include number of made/attempted, percentage made, average points scored per made, total points scored/attempted, and possibly rebounds, assists, turnovers.
FG (field goal) stats are a way of measuring an individual or team's performance in the sport of basketball. Generally, the stats will include the number of field goals made, the number of field goals attempted, the percentage of field goals made, the average number of points scored per field goal made, the total number of points scored, and the total number of points attempted. This data can be used to compare different players or teams, or to track a player or team's performance over time. Depending on the context, other stats such as rebounds, assists, and turnovers may also be included. This data can help coaches, scouts, and analysts make decisions and evaluate performance. Ultimately, it is important to use field goal stats in combination with other data and context to create an accurate picture of a player or team's performance.
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Does a quadratic graph have an inverse?
The inverse of a quadratic graph is a square root function. To graph the inverse, we reverse the domain and range.
What is a quadratic graph?The curve-shaped graph of a quadratic function is known as a parabola. The vertex of a parabola is one of its focal points.
On the graph, it is either the highest or lowest point.
We can imagine it as the parabola's endpoint.
A square root function is the inverse of a quadratic function.
We switch the domain and range in order to graph the inverse.
The graph has the same structure but has been rotated to have the original function's domain and range switched.
Therefore, the inverse of a quadratic function is a square root function. To graph the inverse, we reverse the domain and range.
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A bag of strawberry candy takes 2 2/5 ounces of strawberries to make.
Answer:
6 2/5 ounces
Step-by-step explanation:
2 6/9 x 2 2/5 = 6 2/5
Hope that helps! :)
-Aphrodite
What is the image of (-5,-8) after a reflection over the y-axis
Just asking. How are we supposed to answer this without some sort of picture with a graph or something? :/
Answer:
(-5,-8) reflected over the y-axis turns to (-5,8)
what is the value of the expression below when b = 8.5?
14b
A. 22.5
B. 112.5
C. 119
D. 119.5
What is the quotient? for 692 divided by 16
Answer:
43.25
Step-by-step explanation:
Write each expression with a single exponent:
Answer:
a. 10^12
b. 10^5
c. 10^17
d. 10^6
e. 10^17
f. 10^18
Step-by-step explanation:
just add the exponents together and keep the base
Use the drop-down menus to complete each equation so the statement about its
solution is true.
Answer:
Step-by-step explanation:
Function rules from equations
For a given input value q, the function f outputs a value r to satisfy the following equation.
11g 4= 3r6
Write a formula for f(g) in terms of q.
f(q) =
Stuck? Review related articles/videos or use a hint.
Report a problem
On solving the provided question, we can say that - 11g +4= 3r-6 the value of this equation is -10/3
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
11g +4= 3r-6
g = 0
3r = -10
r = -10/3
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Need help on this one...
Suppose a city with a population of 800,000 has been growing at a rate of 8% per year if the street continues find population of the city in 11 years
Answer: 1,865,311 people in 11 years
800,000(1+.08)^11
1,865,311 population in 11 yeas
A website has a daily trivia contest. On mondays, wednesday, fridays, you have 1 ½ hours to submit an answer. On tuesdays and thursdays you have 1 ¼ hours. On saturdays and sundays you have only ¾ of an hour. How many hours each week do you have to submit an answer?
Answer:
8 1/2 hrs/wk
Step-by-step explanation:
3(1 1/2 hrs) plus
2(1 1/4 hrs) plus
2(3/4 hr)
The LCD here is 4. Convert 3(1 1/2 hrs) to 3(1 2/4 hrs), so that we now have:
3(1 2/4 hrs) = 3 6/4 hrs
+2(1 1/4 hrs) = 2 2/4 hrs
+2(3/4 hrs) = 6/4 hrs
-------------------------------------
5 14/4 hrs, or
5 + 3 2/4 hrs, or
8 1/2 hours/week
what's the answer to the pic
A. 3 2/3
B. 2 2/3
C. 3 1/3
D. -7 1/3
Answer: 2 2/3
Step-by-step explanation:
-2 1/3-(-5)
-7/3-(-5)
8/3
2 2/3
The rectangle below represents the base of a rectangular prism. If the
height of the prism is 6 centimeters, find the total volume of the prism.
Answer:
64
Step-by-step explanation:
hiiii
to find volume the formula is
base * width * height.
so all we would have to do here is:
5 1/3 * 2 * 6=64.
hope this helped you :)
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
16/63
Step-by-step explanation:
The logo on a recycling bin resembles an equilateral triangle with side lengths of 6 centimeters. Approximate the area of the logo.
Answer:
9[tex]\sqrt{3}[/tex] cm² or approximately 15.59 cm²
Step-by-step explanation:
Use the formula for the area of an equilateral triangle, A = [tex]\frac{\sqrt{3} }{4}[/tex]a²
Plug in the side length, 6 cm, as a in the formula:
A = [tex]\frac{\sqrt{3} }{4}[/tex](6²)
A = [tex]\frac{\sqrt{3} }{4}[/tex](36)
A = 9[tex]\sqrt{3}[/tex]
So, the area of the logo is 9[tex]\sqrt{3}[/tex] cm² or approximately 15.59 cm²