Which function could represent the data in
the table below?
X -2 -1 0 1
F(x) 3 1 -1 -3
Answers
he data in the table appears to be modeled by the function f(x) = -x^2 + 2.
To see this, let's plug in the values for x in the table and see if the resulting values for f(x) match the values in the table:
f(-2) = (-2)^2 + 2 = 4 - 2 = 2
f(-1) = (-1)^2 + 2 = 1 - 1 = 0
f(0) = 0^2 + 2 = 2
f(1) = 1^2 + 2 = 1 + 2 = 3
We can see that the resulting values for f(x) match the values in the table, so f(x) = -x^2 + 2 is a function that could represent the data.
Related Questions
Which graph represents the function f(x)=−|x−3|+1?
Answers
Answer:
The top left
Step-by-step explanation:
Answer:
the first one... maybe called "A" ...
Step-by-step explanation:
the range is all reals greater or equal to 1
the low point is when x=3. so (3,1) is the pivot point
Hey so can someone do my delta math for me
like i give u the questions and u answer yeah ok thanks
Answers
34) 8 cans of paint are needed to paint 3 rooms. Exactly how many cans of paint
are needed to paint 11 rooms? How many cans of paint should be purchased?
Answers
Answer:
8 cans ÷ 3 rooms = 2.66 cans per room
11 rooms × 2.66 cans = 29.33 cans
So I need to purchase 30 cans for 11 rooms
Note that in the word problem above it is recommended to purchase at least 29 cans of paint to ensure sufficient coverage for all 11 rooms.
How is this so?To determine the number of cans of paint needed to paint 11 rooms, we can set up a proportion using the given information.
If 8 cans of paint are needed to paint 3 rooms, we can set up the proportion -
8 cans / 3 rooms = x cans / 11 rooms
To solve for x (the number of cans needed for 11 rooms), we can cross-multiply and solve for x -
8 * 11 = 3 * x
88 = 3x
Divide both sides by 3 -
88 / 3 = x
x ≈ 29.33
Hence, it is recommended to purchase at least 29 cans of paint to ensure sufficient coverage for all 11 rooms.
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Three segment measures are given. The three points named arecollinear. Determine which point is between the other two.11. AD= 25, ED= 33, AE 58=13. GH = 44, HK = 87, GK-43.15. AB= 32, BC 13.8, AC = 18.212. RS 45, TS 19, RT = 2614. PQ-34, OR = 71, PR = 3716. WV 27.6, VZ 35.8, WZ = 8.2Segments and Properties of Real Numbers 59Lesson 2-2-
Answers
If three points are collinear and we form three segments with them we obtain the following:
As you can see there's always a segment that is larger than the other two. In this case that is AC since AC>BC>AB. What's more, as you notice the length of the largest segment is equal to the sum of the lengths of the two shorter segments: AC=AB+BC. This implies that the point that is not an extreme of the largest sides is always the one in the middle, in this case B.
In question 11 we are given the following segments between points A, E and D:
\(\begin{gathered} AD=25 \\ ED=33 \\ AE=58 \end{gathered}\)So AE is the largest segment which means that point D has to be between points A and E.
AnswerThen the answer for question 11 is:
D
3) Consider the sequence -11 ; 2sin3x ; 15; ...
3.1.1) Determine the values of x in the interval [0 ; 90] for whichthe sequence will be arithmetic.
Answers
U1=a=-11
U3=a+2d=15
-11+2d=15
2d=26
d=13
2sin3x - (-11)=d
2sin3x=2
sin3x=1
sin(3x)=sin(90)
3x=90
x=30 degrees
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
Answers
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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A bag of a certain type of sand weighs 42 pounds and has a volume of 0.5 cubic feet.
Hey sandbox has a volume of 16 cubic feet.
Approximately how many pounds of sand will it take to fill the sandbox
Answers
Answer:
32 bags
Step-by-step explanation:
0.5 × 16 = 32
hope it helps
the 3 vertices of all (2-1) taken in ordes rhombus (3,4) and (-2,3) find the fourth veztex
Answers
Answer:
(-3,-2)
Step-by-step explanation:
Let A(2,-1), B(3,4), C(-2,3) and D(x, y) be vertices of sides of rhombus
mid point of AC=mid point of BD then
mid point of AC =( 2-2/2,-1+3/2)
=(0, 1)
now
for BD 0=(3+x)/2
x=-3
1=(4+y)/2
y=-2
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
Answers
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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The town library has 3 floors. The first floor is 20 feet
long, 18 feet wide, and 9 feet high. The second and third
floors are both 15 feet long, 10 feet wide, and
9 feet high. What is the volume of the library in
cubic feet?
Answers
The Volume of the Library is 5940 cu. feet
What is Volume?
Volume is a measurement of three-dimensional space that is occupied. It is frequently mathematically quantified using SI-derived units or different imperial or US customary units. The concept of length is linked to the definition of volume.
We are given that there are three floors
and to find the total volume we need to add the separate volumes of each floor
Volume = Length * Breadth * Height
Volume of Floor 1 = 20*18*9 = 3240 cu. feet
Volume of Floor 2 = 15*10*9 = 1350 cu. feet
Volume of Floor 3 = 15*10*9 = 1350 cu. feet
Total Volume = 3240 + 1350 + 1350 = 5940 cu. feet
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Your firm purchases a business copier that costs $14,000 and requires $3,000 in maintenance for each year of its four-year life. After four years, the copier will be replaced. The copier falls into the MACRS three-year class life category. Use table 12.8 on page 415 in your textbook for DDB depreciation. If the tax rate is 32 percent, whats the depreciation tax shield for this project in year 4?
Answers
Answer:
The depreciation tax shield for this project in year 4 is $178.24.
Explanation:
To calculate the depreciation tax shield for this project in year 4, we need to first determine the depreciation expense for year 4 using the MACRS three-year class life category and the double-declining balance (DDB) method.
From Table 12.8 on page 415 of the textbook, we can see that the depreciation rate for year 1 is 33.33%, for year 2 it is 44.45%, for year 3 it is 14.81%, and for year 4 it is 7.41%.
Using the DDB method, we can calculate the depreciation expense for each year as follows:
Year 1: Depreciation expense = $14,000 x 33.33% = $4,667
Year 2: Depreciation expense = ($14,000 - $4,667) x 44.45% = $3,554
Year 3: Depreciation expense = ($14,000 - $4,667 - $3,554) x 14.81% = $830
Year 4: Depreciation expense = ($14,000 - $4,667 - $3,554 - $830) x 7.41% = $557
The total depreciation expense over the four years is the sum of the individual year's depreciation expenses, which is:
$4,667 + $3,554 + $830 + $557 = $9,608
Now, we can calculate the depreciation tax shield in year 4. The depreciation tax shield is the amount of the depreciation expense that reduces the firm's taxable income, multiplied by the tax rate. In year 4, the depreciation tax shield is:
Depreciation tax shield = Depreciation expense in year 4 x Tax rate
Depreciation tax shield = $557 x 32% = $178.24
Therefore, the depreciation tax shield for this project in year 4 is $178.24.
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Solve for the missing variables in the triangle below
I will give a brainless if someone could answer this and explain:)
Answers
Answer:
x = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
69° + 62° + (x + 54)° = 180°
Step 2: Solve for x
Combine like terms: x + 185 = 180Subtract 185 on both sides: x = -5Answer:
Step-by-step explanation:
x + 54 + 69 + 62 = 180 Every triangle has 180 degrees
x + 185 = 180 Subtract 185 from both sides
x = - 5
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Given the graph of the function f(x) which graph shows the function g(x) if g(x) = f(x + 3) ?
Answers
Answer:
(d) see below
Step-by-step explanation:
You want the graph of g(x) = f(x+3) given the graph of f(x).
TranslationThe graph of the parent function f(x) is translated right h units and up k units by ...
g(x) = f(x -h) +k
Here, we have (h, k) = (-3, 0), so the translation is to the left by 3 units.
The graph that shows f(x) translated left 3 units is attached.
Please really need help on this please
Answers
Answer:
y + 3= -7(x + 2)
Step-by-step explanation:
...........
if elephants grass grows 3 3/4 inches a day, how many inches will it grow in 7 days
Answers
The elephant grass will grow 105/4 inches in 7 days
The elephant grass grows 3 3/4 inches in a day
The number of inches it can grow in 7 hours can be calculated as follows
15/4= 1
x= 7
cross multiply both sides
x= 15/4 × 7
x= 105/4
Hence the elephant grass will grow 105/4 inches in 7 days
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6 Bob is flying to Croatia for a holiday. When he gets to the airport, he discovers that they
hove a new pricing system for luggage. 2 items of hand luggage plus 1 item to go in the hold
costs £86. 1 item of hand luggage and a piece of luggage to go in the hold costs £66. How
much does it cost to put an item of luggage in the hold?
DP BOOT
Answers
Answer:
£46
Step-by-step explanation:
You want to know the cost of luggage in the hold when 2 in the hand and 1 in the hold is £86, and 1 in the hand and 1 in the hold is £66.
RelationsLet 'a' and 'b' represent the costs of a piece of hand luggage and one in the hold, respectively. Then the given relations are ...
2a +b = 86
a +b = 66
SolutionSubtracting the first equation from twice the second gives ...
2(a +b) -(2a +b) = 2(66) -(86)
b = 46 . . . . . . . simplify
It costs £46 to put an item of luggage in the hold.
HELP WITH MATH THANKS SO MUCH
Answers
Answer:
120 units^2
Step-by-step explanation:
1/2bh
In this scenario rotate the triangle and you get 10 as the base and 24 as the height
1/2*10*24
12*10=120
Answer:
6,240 unit squared is the answer
The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?
Answers
84.13% of the printing jobs will be acceptable.
The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.
The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.
The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.
To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.
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what is equivalent for 2/3 and 3/4 using 12 as a denominator
Answers
Answer:
8/12 and 9/12
Step-by-step explanation:
hope this helps loves x
The theater was full when the movie began. Seventy-six people left
before the movie ended. One hundred twenty-four people remained.
How many people were in the theater when it was full?
Answers
The number of people were 200 in the theater when it was full.
What is a theater?
In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.
Given that, the theater was full when the movie began.
76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.
Apply algebraical operation that is addition to find the required answer.
Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.
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We saw that about 34% of
all students received at least one referral. Suppose we have concerns about the number of
disciplines in one particular school - it seems very high, and we've had concerns from parents at the school. In one particular year, 162 out of the 340 students at that school had a referral.
a. If we selected a random sample of 340 students, would the sample proportion that are
disciplined be approximately normally distributed? Why or why not?
b.
Use the normal distribution to find the probability of randomly selecting a sample of 340
students and finding that 162 of them or more have received a referral during that
particular year.
C. Would we think that is unusual? Explain your reasoning.
Answers
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
what is probability ?It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.
given
The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.
Calculating the sample proportion is necessary:
The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:
P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031
Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:
\(z = (0.476 - 0.34) / 0.031 = 4.39\)
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
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what is the sum 3/x+9+5/x-9
Answers
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
4 movie tickets cost $48.At this rate,what is the cost of:5 movie tickets11 movie tickets
Answers
Let's begin by listing out the information given to us:
4 movie tickets = $48
\(4x=48\Rightarrow x=12\)1 movie ticket = $12
At this rate, the cost of 5 movie tickets is:
\(\begin{gathered} 5\cdot x \\ x=12 \\ \Rightarrow5\cdot12=$60$ \end{gathered}\)5 movie tickets cost $60
At this rate, the cost of 11 movie tickets is:
\(\begin{gathered} 11\cdot x \\ x=12 \\ \Rightarrow11\cdot12=132 \end{gathered}\)11 movie tickets cost $132
How to simplify 10x – 8x + 2 + 10
Answers
Answer: 2(x+6)
Step-by-step explanation:
add the numbers
10x - 8x + 2 + 10
10x - 8x + 12
combine like terms
10x - 8x + 12
2x + 12
common factors
10x - 8x + 2 + 10
the answer is
2(x+6)
Sally is buying tiles for her bathroom floor. Each tile is 1 foot by 1 foot. Her bathroom floor measures 20 feet by 7 feet.
How many tiles will she need?
Answers
Answer:
i think if i did my math right its 140
Answer:
Sally needs
140 tiles
Step-by-step explanation:
Area of each tile = 1ft * 1ft = 1ft²
Area of the bathroom floor = 20ft * 7ft = 140ft²
Then:
140ft² / 1ft² = 140
Write the equation in standard form, then identify center and radius of circle.
Answers
Answer:
Step-by-step explanation:
Given
x^2 + y^2 - 16y - 36 = 0
x^2 + y^2 - 16y = 36
x^2 + y^2 - 16y + (16/2)^2 = 36 + 8^2
x^2 + (y - 8)^2 = 64 + 36
x^2 + (y - 8)^2 = 100
The center is at (0,8) and the radius is 10
Try and follow it from the graph below.
In Mr. Davis’s class, 13 students wear glasses and 9 do not. What is the ratio of students who do not wear glasses to the number of students who do wear glasses?
Answers
Answer:
9/13
Step-by-step explanation:
The ratio of
do not wear glasses : those who do wear glasses = 9 / 13
Be sure and keep the numbers opposite their descriptions.
9 is across from those who wear glasses
13 is across from those who do not wear glasses.
James has available a 10% alcohol solution and a 60% alcohol solution find how many liters of each solution he shouldn’t mix to make 50 L of a 40% alcohol solution
Answers
Answer:
20 L
Step-by-step explanation:
I am guessing that you meant should instead of shouldn't.
To solve this we can set the amount of 10% solution needed equal to x. This means that the 60% solution will be the remaining amount needed, so 50 L - x.
We can do 10%*x+60%*(50-x)=50*40%. Solving for x we get:
0.1*x+0.6*50-0.6*x=50*0.4
0.1*x+30-0.6*x=20
-0.5*x=-10
x=20
Answer of question 3 pls
Answers
The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]
What is the shape of the graph of a quadratic function?The shape of the graph of a quadratic function is a parabola.
The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816
Where;
t = The time in seconds
The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;
The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)
Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7
Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7
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Functional Maths Skills Check 3. Six students complete an assessment. To pass the assessment the students need to get at least 75% of the total marks. The total mark is 128. Tom scored 98 marks. Tom thinks he has passed the assessment. Has Tom passed the assessment?
Answers
Tom's percentage score is above 75%, which is the passing threshold, we can conclude that Tom has indeed passed the assessment.
To determine if Tom has passed the assessment, we need to calculate his percentage score out of the total marks.
Percentage Score = (Tom's Score / Total Marks) * 100
Given that Tom's score is 98 marks and the total marks are 128:
Percentage Score = (98 / 128) * 100 ≈ 76.5625%
Since Tom's percentage score is above 75%, which is the passing threshold, we can conclude that Tom has indeed passed the assessment.
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