Consider the function represented by the table.
The ordered pair given in the bottom row can be written using function notation as
f(9)=5.
f(5)=9.
f(5, 9)=14.
f(9, 5)=1
Answers
The ordered pair given in the bottom row can be written using function notation as; f(9) = 5
How to interpret function tables?The function notation of a point (x, f(x)) or (x, y) is f(x) = y.
Now, from the definition of function notation, the function notation of the given ordered pairs of (2, 6), (7, 3) and (9, 5) are;
f(2) = 6
f(7) = 3
f(9) = 5
Thus, looking at the given options, the only one that represents the ordered pair written using function notation is f(9) = 5
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Related Questions
Can someone help i put a random answer
Answers
(5x-1)(x+1)-5+x-5+x
_____
Answers
Answer:
5x^2+x-6
Step-by-step explanation:
(5x-1)(x+1)-5x+x-5+x
(5x^2+5x-x-1)-5x+x-5+x
5x^2+x-6
Point A is at (-2, 4) and point C is at (4, 7). Find the coordinates of point B on AC such that the ratio of AB to AC is 1: 3. B =
Answers
the coordinates of point B are \((2, 6.25).\)
What are the coordinates?To find the coordinates of point B, we can use the fact that the position of a point dividing a line segment in a given ratio can be found using the section formula.
Let's first find the coordinates of point B using the section formula. Let the coordinates of point B be (x, y). Then the ratio of AB to AC is 1:3, which means that the distance between A and B is one-fourth of the distance between A and C. We can express this mathematically as:
\(AB/AC = 1/3\)
\(= > AB = (1/4) * AC\)
Using the distance formula, we can find the length of AC:
AC = \(\sqrt\)\((4 - (-2))^2 + (7 - 4)^2]\)
\(\sqrt6^2 + 3^2]\)
\(\sqrt 45\)
So, we have:
\(AB = (1/4) \times \sqrt45\)
Now, using the section formula, we can find the coordinates of point B. The section formula states that the coordinates of the point dividing the line segment joining two points \((x1, y1)\) and \((x2, y2)\) in the ratio m:n are given by:
\(x = (nx2 + mx1)/(m + n)\)
\(y = (ny2 + my1)/(m + n)\)
In our case, the coordinates of point A are \((-2, 4)\), the coordinates of point C are \((4, 7)\) , and the ratio of AB to AC is \(1:3.\) So, we have:
\(m:n = 1:3\)
Substituting the values, we get:
\(x = (34 + 1(-2))/(1 + 3) = 2\)
\(y = (37 + 14)/(1 + 3) = 6.25\)
Therefore, the coordinates of point B are \((2, 6.25)\) .
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an election ballot asks voters to select three city commissioners from a group of twelve candidates. in how many ways can this be done?
Answers
Answer:
Step-by-step explanation:
Since order does not matter \(_{12}C_3\\ \\ \frac{12!}{3!9!}\\ \\ 220\)
20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.
B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.
C. some other response
Answers
We can deduce that option A is likely to be true based on the given graph of rolling dice median data.
What is the median?The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.
The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).
This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.
However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.
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what are the answers for the table
Answers
Answer:
X-intercepts: -1 and 3
Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).
Step-by-step explanation: Hope this helps even a little bit <33
Question 9 of 10Which of the following is equal to the rational expression when x ≠ -4 or 3? X^2-4+3/x^2+x-12
Answers
Answer:
3
Step-by-step explanation:
Sorry if it's wrong and semogamem helps
please answer this I will definitely give u a brainlies badge
Answers
sinθ = t/o
cosθ = m/o
tanθ = t/m
cscθ = o/t
secθ = o/m
cotθ = m/t
What is the median of this data set?
{29, 22, 23, 31, 29, 29, 22, 23}
Answers
Answer:
The median is 26
Step-by-step explanation:
A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".
So- first, arrange the terms in ascending order.
[22, 22, 23, 23, 29, 29, 29, 31]
There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.
(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.
(52)/2 = 26
Therefore, the median is 26.
I hope this helped! :)
Hello!
In order to find the median of a dataset, we should first order the numbers in the dataset from least to greatest:
29, 22, 23, 31, 29, 29, 22, 23
The smallest number is 22, then 23, then 29, then 31:
22, 22, 23, 23, 29, 29, 29, 31
How many numbers are in this set? 8. An even number!
So we find the mean of the 2 numbers in the middle (23 & 29)
We add these numbers and then divide by 2 (because we have 2 numbers)
\(\bf{\displaystyle\frac{23+29}{2}}\)
\(\bf{\displaystyle\frac{52}{2}}\)
Which is equal to
\(\boxed{\bigstar{\text{Answer:{\boxed{\boxed{26}}}}}}\)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
1+6÷5×4
please help
Answers
First 5x4 which is 20
6/20 is 0.3
1+0.3=1.3
I deserve Brainliest for giving you the correct answer and an explanation.
SOLVING STEPS...
CALCULATE 6÷5×4
IT'S 4.8
ADD 1 WITH 4.8
CALCULATE THE SUM...
WE WILL GET THE ANSWER...
SO THE ANSWER IS
\(5.8\)
GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...
The solution to X +9-3 is less than or equal to 14
Answers
Answer:
\(x∈( - ∞;8]\)
Step-by-step explanation:
\(x + 9 - 3 \leqslant 14\)
Collect like-terms:
\(x \leqslant 14 - 9 + 3\)
\(x \leqslant 8\)
\(x∈( - ∞;8]\)
Eastern Aviation Equipment pays Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month. Assume Donald's sales were $90,800 for last month. Calculate the following amounts:
1. Amount of Commission:
2. Gross Pay:
Answers
The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let y represent the gross pay for x total sales.
Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:
y = 1760 + 12% of x
y = 0.12x + 1760
Donald's sales were $90,800 for last month. Hence:
a) Commission = 0.12 * $90800 = $10896
b) Gross pay:
y = 10896 + 1760 = $12656
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Select the correct answer from each drop- down menu. Consider the expressions given below.
Answers
Solution
\((4x^3-4+7x)-(2x^3-x-8)=2x^3+8x+4(B)\)\((-3x^2+x^4+x)+(2x^4-7+4x)=3x^4-3x^2+5x-7(D)\)\((x^2-2x)(2x+3)=2x^3+3x^2-4x^2-6x=2x^3-x^2-6x(A)\)
What are the possible solutions to a system of linear equations, and what do they represent graphically?Complete the explanation below.When a system of linear equations has no solution the graph will (select)When a system of linear equations has one solution the graph will (select)When a system of linear equations has infinitely many solutions the graph will (select)The solution represents the (select)
Answers
solution
When a system of linear equations has no solution the graph will have parallel lines
When a system of linear equations has one solution the graph will have intersecting lines
When a system of linear equations has infinitely many solutions the graph will be the same line
The solution represents the point of intersection
Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)
Answers
The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.
To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.
Actual quotient:
Dividing 54,114 by 29, we get:
54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)
Estimated quotient:
Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:
54,000 ÷ 30 = 1,800
Difference between actual and estimated quotient:
Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379
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If the selling price is $10 and the fixed costs are $10000, and the variable costs per unit are $5, what is the break-even point in units and in dollar sales volume?
Answers
Answer:
2000 units
Step-by-step explanation:
u = units sold
p = selling price
c = unit cost
Revenue = u × p
Costs = fixed costs + (c × u)
Profit = revenue - costs
Revenue = 10 × u
Revenue = 10u
Costs = 10000 + (5 × u)
Costs = 10000 + 5u
Breakeven means profits = 0:
Profits = 10u - (10000 + 5u) = 0
10u - 10000 - 5u = 0
5u - 10000 = 0
5u = 10000
u = 2000
Please help me I need help!!!
Answers
\( : \implies \sf 31 = \dfrac{15 + x}{7} \)
\( : \implies \sf 31 \times 7 = 15 + x\)
\( : \implies \sf 217 = 15 + x\)
\( : \implies \sf x = 202\)
2nd part is greater by 50
Answers
The number 50 is divided into 30 and 20, so we get the sum of the reciprocal of this number is \(\frac{1}{12}\)
What is factoring in the quadratic equation?Factoring quadratic equations is the process of transforming a quadratic expression into the product of two linear factors.
let us consider, we have two parts x, and 50-x.
From the given question
\(\frac{1}{x} + \frac{1}{50-x} = \frac{1}{12}\)
By cross-multiply on LHS of the equation
\(\frac{50}{x(50-x)} = \frac{1}{12}\)
Again cross multiply on both sides
x (50 - x) = 600
50x - \(x^{2}\) = 600
By rearranging the equation
\(x^{2} -50x +600 = 0\)
Now factoring the equation
(x-30) (x-20) = 0
Therefore we get the solution
x = 30 and x=20
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Refer to the answer to the complete question below:
p=r-c for c solve the formula for c
Answers
Answer:
c = − P + r
Step-by-step explanation:
Answer:
c = r - p
Step-by-step explanation:
p = r - c
p - r = -c
c = r - p
What were the rental rates?
Answers
answer/explanation:
d = daily rental chargem = the charge per mileJon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 300 miles and was charged $285.6d + 300m = 285His friend Amanda later rented the same car for 7 days and drove 260 miles and was charged $310.7d + 260m = 310by solving the system of equations6d + 300m = 2857d + 260m = 310we findd = $35m = $0.25the daily rental charge is $35.the company charge per mile is $0.25.hope this helps
Help!!!
I will mark you
Answers
Answer:
832.6lbs
Step-by-step explanation:
What is the image of (-9,12)(−9,12) after a dilation by a scale factor of \frac{1}{3} 3 1 centered at the origin?
Answers
The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).
In the given question,
We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.
Since we have to find the image after a dilation.
So we learn about it now,
Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.
So the given point is (-9,12).
Scale factor is 1/3.
So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as
=(-9×1/3,12×1/3)
Simplifying
=(-3,4)
Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).
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write the equation for the line that is parallel to y=2/3x-5 and goes through the point (-12/2)
Answers
Answer:
I put the equation into Point-Slope Form and got:
y - 2 = 2/3(x + (-12))
Distribute the 3 to the numbers on the left:
3y - 6 = 2(x - 12)
Multiply the Parenthesis by 2:
3y - 6 = 2x - 24
Add 6 to the right side:
3y = 2x - 18
Divide both sides by 3:
y = 2/3x - 6 is the answer :)
Which expression is equivalent to 108 - 58 + 8 + 69 +47
58 +69+12 158 + 119 + 4 158 + 8 + 109 5% + 149 +4
Answers
Answer:
5f+6g+12
Step-by-step explanation:
Combine like terms
10f-5f = 5f
6g
8+4 = 12
5f+6g+12
Answer:
I came over here to get my points back that u just stole from me
Step-by-step explanation:
thx and you can have some rusty spoons for lunch
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
Answers
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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Can you please help me out with a question
Answers
Opposite angles in different segment of a cyclic quadrilateral are supplementary.
Therefore,
\(\begin{gathered} That isUse the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=963 and x=573 who said "yes." Use a 95% confidence level.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E =
(Round to three decimal places as needed.)
c) Construct the confidence interval.
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
Answers
Answer:
A
Step-by-step explanation:
yes because 3+2 +5 = 923x which is the inversde ratio of a triangle. This leads us to 1 half of 3.14, once we have 3.14, divide it by 70594. Now, you get 59.4.
Hope this helped!
The flight from Perth to London is 16 hours and 35 minutes. The time in Perth is 7 hours ahead of London. A flight leaves Perth at 8am on Wednesday. What is the time in London when the flight arrives?
Answers
Answer:
Flight arrived in london on 5 : 35 pm Wednesday
Step-by-step explanation:
Time = 16 h 35 min
Time difference = 7 h
Flight time = 8am
So
According to perth time flight reached in london is
8 am + 16 h 35 m = 8 am + ( 12 h + 4h + 35 m) =
8pm + 4h +35 = 12am + 35m = 12 : 35 am
The time difference is 7 h ,so minus this from perth time
12 : 35 am - 7h = 5 : 35 pm
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Evaluate the numerical expression.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Answers
The required simplified value of the given numerical expression is 223.39.
Given that,
To evaluate the numerical expression,
= (25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= (25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]
= 5000÷ 23 + [24 ÷8 ]
= 217.39 + 6
= 223.39
Thus, the required simplified value of the given numerical expression is 223.39.
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Find of area
So can someone explain this to be because I'm a bit confused but an extra help will do the trick
Answers
The area of the figure is 96 square inches
How to determine the areaFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The area is the sum of the areas of the individual shapes that make up the figure
Using the above as a guide, we have the following:
Area = 10 * 2 + 10 * 2 + 8 * 7
Evaluate
Area = 96
Hence, the area is 96 square inches
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