The equation that represents a function is (A) y = -2x + 1.
A Function is defined as an equation for which any "x" we substitute in the equation will give only one output such as "y"
it is denoted by y=f(x).
In the given question
Option (A)
y=-2x+1
Yes the given equation is a function ,
because when we substitute a value in x ( let x=2) it gives only a single output (y=-3).
Hence , y=-2x+1 is a function .
Option (B)
x=4
No, it is not a function as ,
x=4 is a vertical line parallel to y axis ,
we know that for a function every value of x will have exactly one y .
For x=4 , y can 0 , -9 , 6 .
Hence , x=4 is not a function.
Option (C)
x=y²-1
No. it is not a function ,
we know that for a function every value of x will have exactly one y .
For x=0 , y=+1,-1 .
Hence , x=y²-1 is not a function .
Option (D)
y²-x
No , it is not a function
As y²-x do not have an equal to sign "=" , it cannot be considered as an equation.
Hence , y²-x is not a function .
Therefore , Only y = -2x + 1 represents a function , the correct option is (A) y = -2x + 1
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-2/3 x 3/5 + 5/2 - 3/5 x 1/6
Answer:
sorry im on a time lapse, so the answer is 2 1/2. hope it helps
Step-by-step explanation:
Answer:
Hi above picture is the solution for your question.
Please mark it the brainliest answer
an executive hires 3 office workers from 8 applicants. (a) in how many ways can the selection be made?
The number of ways can the selection be made is 84.
Given:
an executive hires 3 office workers from 8 applicants.
a ) .
Number of ways = C ( 8 , 3 )
C ( n , r ) = n! / ( n - r ) ! r!
C ( 8 , 3 ) = 8! / ( 8 - 3 ) ! 3!
= 8! / 5! * 3 !
= 8 * 7 * 6 * 5! / 5! * 3!
= 56 * 6 / 3!
= 56 * 6 / 3 * 2 * 1
= 56 * 3 / 2 * 1
= 28 * 3 / 1
= 28 * 3
= 84 ways
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If EF = 117 , FG = 100, EG = 94, IJ = 40 , and HJ = 37.6 , find the perimeter of HIJ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
124.4
Step-by-step explanation:
Perimeter of ∆HIJ = IJ + HJ + HI
IJ = 40
HJ = 37.6
HI = ?
Let's find HI
∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.
Thus:
EF/HI = FG/IJ
EF = 117 (given)
HI = ?
FG = 100 (given)
IJ = 40 (given)
Plug in the values
117/HI = 100/40
117/HI = 2.5
117 = HI*2.5
117/2.5 = HI
HI = 46.8
✔️Perimeter of ∆HIJ = IJ + HJ + HI
= 40 + 37.6 + 46.8
= 124.4
I have 1/3 brownie a customer buys 3/4Of the pan How much brownies do u have left
Answer:
3/12
Step-by-step explanation:
Graph the function y equals 12 times the quantity 1 over 3 end quantity to the x power. Does the function represent growth or decay? What is the equation of the asymptote?
Growth; x = −1
Growth; y = 0
Decay; x = −1
Decay; y = 0
The given exponential function represents a decay function and as such the equation of the asymptote is; decay; y = 0
How to Graph an Exponential Equation?An exponential equation is defined as an equation with exponents whereby the exponents or even a part of the exponent is deemed a variable. For example, 2ˣ = 32
The standard form of exponential equation is written as; y= abˣ
Now, exponential equation can either be growth or decay depending on the rate constant value.
If the value of b < 1, it is a decay while if the value of b > 1, then it is growth.
We are given the exponential equation as;
y = 12(1/3)ˣ
We see that b = 1/3 which is less than 1, and as such it is a decay function.
The equation of the asymptote will be decay; y = 0
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Answer: decay y=0
Step-by-step explanation: it is what it is honestly
if a = b and b = c then a = c. true or false
Answer: true
Step-by-step explanation:
Answer: True
Step-by-step explanation: Has to be true if a b and c are all numbers
How would you describe the difference between the graphs of f(x)=2/3 x^3 and g(x)=2/3(-x)^3
- 4 x + 9 = 21 x=___ help
Answer:
\( - 4x + 9 = 21 \\ - 4x = 21 - 9 \\ = 12 \\ x = \frac{12}{ - 4} \\ x = - 3\)
What is the equation of a horizontal line that passes
through the point (-4, -5)?
Answer: y=-5
Step-by-step explanation:
A horizontal line appears on the graph if it goes through the y-axis. Knowing this, the coordinate tells us that the y-coordinate is -5. This tells us that the equation of the line is y=-5.
Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!
To find the surface area of the figure, we need to consider the individual surfaces and add them together.
First, let's identify the surfaces of the figure:
The lateral surface area of the larger prism (excluding the base)
The two bases of the larger prism
The lateral surface area of the smaller prism (excluding the base)
The two bases of the smaller prism
The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.
The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.
To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.
Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.
Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.
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Solve and write your answer as a fraction
Step-by-step explanation:
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whats the origin of the number zero (pls give me interesting info its for a math project)
Answer:
Hindus from India invented zero to represent the idea of the power of the cosmos and universe as they expand into infinity. They called this the sunya which means empty in Sanskrit. The book Brahma Sphuta Siddhanta was published in c. 628 by Brahmagupta which defines zero as the subtraction of a number by itself, e.g. 5-5 =0.
whats the answer
x-y=5
3x-2y=12
need to find the x and the y.
The values of x and y in the system of equations, x - y = 5 and 3x - 2y = 12, are: x = 2 y = -3
How to Solve a System of Equations?Given the system of equations:
x - y = 5 --> eqn. 1
3x - 2y = 12 --> eqn. 2
Rewrite equation 1:
x = 5 + y --> eqn. 3
Substitute x for 5 + y into equation 2:
3(5 + y) - 2y = 12
15 + 3y - 2y = 12
15 + y = 12
y = 12 - 15 [subtraction property]
y = -3
Substitute y = -3 into equation 3:
x = 5 + (-3)
x = 2
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The area of the base of right rectangular prism is 14 square inches. The height is 5 inches. What is the VOLUME of the prism?
Answer:
70
Step-by-step explanation:
your height is 14, Given
Your surface area for the top face is 14
the way to make 14 from two factors is 7 and 2
therefore your height is 5 your width is 7 and your depth is 2
Calculate the average times it took the car to travel 0.25 and 0.50 meters. Record the averages, to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answer:
What is the average time it took the car to travel 0.25 meters?
2.23 secondsWhat is the average time it took the car to travel 0.50 meters?
3.13 secondsI hope is work you!!
(1) The first velocity of the car with two washers at the 0.25 meter mark is 0.125 m/s.
(2) The second velocity of the car with two washers at the 0.5 meter mark is 0.25 m/s.
What is velocity?Velocity is the rate of change of displacement with time. The velocity of the cars depends on displacement and time of motion.
First velocity of the car at the 0.25 meter markThe first velocity is calculated as follows;
v1 = 0.25 m / t1
let t₁ = 2 s
v₁ = 0.25/2
v₁ = 0.125 m/s
Second velocity of the car at the 0.5 meter markv2 = 0.25 m / (t2 – t1)
let t₂ = 3 s
v₂ = 0.25(3 - 2)
v₂ = 0.25 m/s
The complete question is below:
Calculate the first and second velocities of the car with two washers attached to the pulley, using the formulas
v1 = 0.25 m / t1, and
v2 = 0.25 m / (t2 – t1)
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Eighth grade
CC. 14 Box plots Y Z
Mrs. James, a sixth grade teacher, recorded how many minutes each student reported
reading over winter break.
Time spent reading (min. )
+
0
100
200
300
400
500
What was the upper quartile of the time spent reading?
minutes
Submit
The upper quartile of the time spent reading, as shown in the box plot is: 300.
What is the Upper Quartile of a Data in a Box Plot?In a box plot, the upper quartile is represented by the data point located at the end of the edge of the rectangular box in the box plot.
In the box plot, 300 is the value located at the end of the edge of the rectangular box.
Therefore, the upper quartile of the time spent reading, as shown in the box plot is: 300.
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Question 1 of 5 Select the correct answer. If the factors of quadratic equation are (x − 7) and (x + 3), what are the x-intercepts? (-7,0) and (-3,0) (-7,0) and (3,0) (3,0) and (7,0) (-3,0) and (7,0)
Answer:
(7,0) and (-3,0)
Step-by-step explanation:
Given the factors, we want to get the x-intercepts
All we have to do is to get the x values by equating the factors to zero
we have this as;
(x -7) = 0 and (x + 3) = 0
x = 7 and x = -3
The x-intercepts are;
(7,0) and (-3,0)
Find the area of this circle. Use 3 for pi please
Answer:
108 cm²
Step-by-step explanation:
A = πr²
A = 3 * 6²
A = 3 * 36
A = 108
If my answer is incorrect, pls correct me!
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-Chetan K
how do we forecast using data that has seasonality?
How can we control volatility in various time series models?
What is a simple moving average method?
To forecast using data that has seasonality, one commonly used method is seasonal decomposition of time series (STL). This method separates the time series data into three components: trend, seasonality, and residuals. By isolating the seasonal component, you can forecast future values by extrapolating the pattern observed in previous seasons.
Another approach is the use of seasonal autoregressive integrated moving average (SARIMA) models. SARIMA models are an extension of ARIMA models that incorporate seasonal patterns. These models capture both the trend and seasonality in the data and can be used to make forecasts.
To control volatility in various time series models, a common technique is to use a volatility model, such as the generalized autoregressive conditional heteroskedasticity (GARCH) model. This model estimates the volatility of the time series by incorporating past volatility and squared residuals. By modeling and forecasting the volatility, you can better understand and manage the potential fluctuations in the time series data.
A simple moving average method is a technique used to smooth out fluctuations and identify trends in time series data. It involves calculating the average of a fixed number of data points, often referred to as the window size or period. As new data becomes available, the oldest data point in the window is dropped, and the newest data point is included in the calculation. This process is repeated for each subsequent data point. The resulting moving average values can provide insights into the overall trend of the data, helping to identify patterns or changes over time.
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what is the equation of the given circle?
Answer:
the last choice
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (3, 2 ) and r = 1 , then
(x - 3)² + (y - 2)² = 1² , that is
(x - 3)² + (y - 2)² = 1 → B
½ x+7 = x+13
I need an explanation here is the answer x=-12
Answer:
x=-12
Step-by-step explanation:
½ x+7 = x+13
Multiply both sides
x + 14 = 2x + 26
Move the terms
x - 2x = 26 - 14
Calculate
-x = 12
Change the signs
x = -12
HELP if a person runs 5 miles in 25 minute, how long will it take them to run 8 miles at the same rate?
Answer:1.6
Step-by-step explanation:
25/5=5
8/5=1.6
Answer:
40 MinutesStep-by-step explanation:
if 5miles = 25 minutes
then, 8 miles = X
hence X minutes
\(x = \frac{25minutes}{5miles} \times 8miles\)
X=40 minutesif the pencils that are 3 of a foot long are laid end to end touching, 12 how far would the row extend? a. 3 ft b. 6 ft c. 8 ft d. 9 ft
If three pencils, each measuring one foot in length, are laid end to end touching, the total distance covered by the row would be 3 feet.
Since each pencil is 1 foot long, when three pencils are laid end to end, they form a row that is 3 feet long. The key information here is that the pencils are touching, which means there are no gaps between them. Therefore, the row would extend for a total distance of 3 feet.
In this scenario, the correct answer is option a, 3 ft. The row would not extend beyond 3 feet because there are only three pencils, each measuring one foot in length. If there were more pencils or if they were not touching end to end, the total distance covered by the row would be different. However, based on the given information, the row formed by the three one-foot-long pencils would have a length of 3 feet.
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Which is the population standard deviation of the data set: 8, 9, 10, 11, 12?
a. 10.123
1.414
b.
2.654
Please select the best answer from the choices provided
A
C.
d. 10
B
The population standard deviation of the data set is 1.414.
What is standard deviation?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.
How is standard deviation calculated?Determine the mean of the observationDetermine the difference between each value and the mean and then square the resultDetermine the mean of the sum of the squared differences and then find the square root of the mean:Mean = (8 + 9 + 10 + 11 + 12) / 5 = 10
Sum of squared differences: (8 - 10)² + (9 - 10)² + (10 - 10)² + (11 - 10)² + (12 - 10)² = 10
√10/5 = 1.414
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Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
1. x Superscript 3 Baseline (Superscript 3 StartRoot y end root)
2. x Superscript 9 Baseline (Superscript 3 StartRoot y end root)
3. x Superscript 27 Baseline (Superscript 3 StartRoot y end root)
4. x Superscript 24 Baseline (Superscript 3 StartRoot y end root)
Answer:
B
Step-by-step explanation
i got a 100 on the quiz
The required equivalent expression to the given expression is x Superscript 9 Baseline (Superscript 3 StartRoot y end root). Option 2 is correct.
What is simplification?It is a technique in mathematics to operate and interpret the function to make the function or expression straightforward or more understandable is called simplifying and the process is called simplification.
Here,
the given expression,
(x Superscript 27 Baseline y) Superscript one-third = [x²⁷/y]¹/³
= [[x²⁷/³]/∛y
= x⁹/∛y = x Superscript 9 Baseline (Superscript 3 StartRoot y end root)
Thus, the required equivalent expression to the given expression is x Superscript 9 Baseline (Superscript 3 StartRoot y end root). Option 2 is correct.
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Data is sampled from a population for scores that has an original σ=5 points How much error should you expect from samples with the following sizes: a. n=4 b. n=9 c. n=16
Data is sampled from a population for scores that has an original σ=5 points and the error expected from samples with the following sizes are: a. n=4, SE = 2.5 b. n=9, SE = 1.67 c. n=16, SE = 1.25.
The formula for estimating the error or the standard error of the sample is given as: SE=σ/√n. Where σ is the population standard deviation, n is the sample size and SE is the standard error.
Now, using the given formula, let's calculate the standard errors for the given sample sizes:
a. For n=4SE=σ/√n=5/√4=2.5
b. For n=9SE=σ/√n=5/√9=1.6666≈1.67
c. For n=16SE=σ/√n=5/√16=1.25
Thus, the standard errors for sample sizes of n=4, n=9, and n=16 are 2.5, 1.67, and 1.25 respectively.
The error is expected to decrease as the sample size increases.
Data is sampled from a population for scores that has an original σ=5 points and the error expected from samples with the following sizes are:
a. n=4, SE = 2.5
b. n=9, SE = 1.67
c. n=16, SE = 1.25.
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5. What value of makes the statement true? cos e = sin( 0/3 -10)
Answer:
and
Step-by-step explanation:
Find the area of the triangle having the given measurements
B=47 degree
, a=2 yards, c=4 yards
herefore, the area of the triangle is approximately 2.58 square yards.
Area = (1/2) * a * c * sin(B)
where B is the angle opposite to the side of length b, and a and c are the lengths of the other two sides.
In this case, we have:
B = 47 degrees (given)
a = 2 yards (given)
c = 4 yards (given)
To use the formula, we first need to find the length of the third side, b, using the Law of Cosines:
\(b^{2}\) = \(a^{2}\)+ ^\(c^{2}\) - 2accos(B)
b^2 = 2^2 + 4^2 - 224cos(47)
b^2 ≈ 13.37
b ≈ 3.657
Now we can substitute the values into the formula for the area:
Area = (1/2) * a * c * sin(B)
Area = (1/2) * 2 * 4 * sin(47)
Area ≈ 2.58 square yards
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Solve the linear equation below using the substitution method
x-3y=7
2x+3y=9
i can’t figure this out
Answer: -1/3 is the correct answer
Step-by-step explanation: