URGENT!!!! 25 POINTS!!!
What is the linear function expressed by the following table?
Answers
The linear function expressed by the table is y = -1x + 4.
What is a linear function?
A linear function is a type of mathematical function that represents a linear relationship between two variables, often represented by x and y. The general form of a linear function is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis). Linear functions are also called lines.
To find the equation of the line from a table of values, you can use the slope-intercept form, y = mx + b
where m is the slope and b is the y-intercept
In order to find the slope 'm' we use the following formula:
m = (change in y)/(change in x) = (y2 - y1) / (x2 - x1)
Here,
m = (-2 - 2) / (2 - (-2)) = (-4)/4 = -1
The slope is -1, which means that for every one-unit increase in x there's a corresponding one-unit decrease in y.
To find the y-intercept, you can use one of the points from the table and substitute the x and y values into the equation
y = mx + b
So now we know that m = -1,
plugging the first point (x,y) = (-2,2) in the equation
2 = -2 - b
b = 4
So the equation of the line is y = -1x + 4
Hence, the linear function expressed by the table is y = -1x + 4.
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Related Questions
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly.After 11months he weighed 140 Kilograms. He gained weight at rate of 5.5 kilograms per month.
Let y represent the sumo wrestler’s weight (in kilograms)after x month.
Complete the equation for the relationship between the weight and number of months.
Answers
The equation that shows the relationship between the weight and number of months. y = 79.5 + 5.5x
What is weight ?In science and technology, the weight of an object is the force acting on an object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on an object. Others define weight as a scalar quantity, the magnitude of gravitational force. Still others define it as the size of the reaction force applied to the body by mechanisms resisting the influence of gravity: weight is a quantity measured, for example, by a spring balance.
Given that ; Total Month = 11 months
Gained weight at the rate = 5.5 kilograms per month.
Assume initial weight W,
The initial weight + total month x rate = 140
w + 11 x 5.5 = 140
w = 79.5
if y is total weight after x months
y = 79.5 + 5.5x
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Select the correct image.
Barry wants to host an event at a hotel that has four conference rooms. Each conference room has a maximum capacity of 150 people, but the
hotel limits the capacity to 1 person for every 4 square feet.
Sketches of the four conference rooms are shown below. Which room will stop Barry from hosting the event at the hotel?
25 ft
24 ft
28 ft
28 ft
Answers
The room that would stop Barry from hosting the event is the semicircular room.
Which room has a capacity that is less than 1 person per 4 square feet?Would the first rectangular room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a rectangle = length x width
25 x 30 = 750 feet²
Number of people per square foot - 750 / 150 = 1 person for every 5 feet
Would the trapezoidal room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a trapezoid = 1/2 x (sum of parallel sides) x height
1/2 x (24 + 36) x 28 = 840 feet²
Number of people per square foot = 840 / 150 = 1 person for every 5.6 feet
Would the square room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a square = length x width
28 x 28 = 784 feet²
Number of people per square foot - 784 / 150 = 1 person for every 5.2 feet
Would the semi circular room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a semicircle = 1/2πr²
Where:
r = 3.14
r = radius = diameter / 2 = 28 / 2 = 14 feet
1/2 x 3.14 x 14² = 307.72 feet²
Number of people per square foot - 307.72/ 150 = 1 person for every 2.05 feet
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Answer:
The semicircle
Step-by-step explanation:
ewomazinoade's answer is correct, not sure why at time of writing the rating is so low for their answer (3.7).
See pic!
please help me with math!! :(
Answers
Answer:
addition property of equality
Step-by-step explanation:
Given the circle below with chords NO and PQ. Find the length of OR. Round to the nearest tenth if necessary.
Answers
Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.
Circle – what is it?A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²
Here,
For each secant, the sum of the lengths from R to the circle's intersection points is the same:
=>RS*RT = RQ*RP
=>40(40 +31) = (44)(PQ +44)
=>40(71)/44 = PQ +44
=>PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11
=>PQ ≈ 20.5
Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.
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When Souta went to Sweden, 1 Swedish krona was worth about 0. 12 US
dollar. He took d dollars on the trip. Which equation could be used to find
the value in Swedish krona, k, of the dollars?
A
k = 0. 12d
B
d
k=
0. 12
с
0. 12
k=
d
D k= 1. 12d
Answers
If 1 Swedish krona was worth 0.12 US dollar , and if he took d dollars for the trip then the equation that is used to find the value in Swedish krona (k) of the dollars is option (a) [tex]k = 0.12\times d[/tex] .
The value of 1 Swedish krona is = 0.12 US dollar ,
the number of dollar that Souta took on the trip is = d dollars ;
we have to find the equation that can be used to find the equation in Swedish krona "k" of the dollars ,
According to the question ,
the equation for Swedish krona can be represented as [tex]k = 0.12\times d[/tex] ;
Therefore , the required equation is [tex]k = 0.12\times d[/tex] .
The given question is incomplete , the complete question is
When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US dollar. He took d dollars on the trip. Which equation could be used to find the value in Swedish krona, k, of the dollars ?
(a) k = 0.12d
(b) dk = 0.12
(с) 0.12k = d
(d) k = 1.12d
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What is the negation of ∃?
Answers
In order to find the negation of an expression we simply put the not operator in front of them . Therefore, the negation of ∃ is that â is not ^ to f.
The term negation means opposite , that is the negation of a statement is the opposite of the given mathematical statement. If we will take the example of P , let P be a statement, then the negation of P will be represented by ~P.
There are two symbols which are used to represent the negation of a statement which are “~” or “¬”. Therefore, ~P is known as the negation of P.
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Which answer choice correctly identifies the extraneous information in the problem?
Anna babysat 2 children on Saturday night. She charges $8 an hour to babysit. She wants to save the money she earns babysitting to buy a stereo system that cost $225. If Nina babysat for 5 hours, how much money did she earn?
A. She charges $8 an hour and babysat for 5 hours.
B. She babysat 2 children on Saturday night and she wants to buy a stereo system that costs $225.
C. She babysat 2 children on Saturday night and she charges $8 an hour to babysit.
D. She wants to save the money she earns babysitting to buy a stereo system that costs $225 and she babysat for 5 hours.
Answers
Answer: B
explanation: I took the test ^w^
If Nina babysat for 5 hours, then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Anna babysat 2 children on Saturday night.
She charges $8 an hour to babysit
She wants to save the money she earns babysitting to buy a stereo system that cost $225
If Nina babysat for 5 hours, then we need to find how much money money did she earn.
8/225=5/x
Apply cross multiplication
8x=225(5)
8x=1125
x=1125/8
x=140.6=141
Hence, If Nina babysat for 5 hours, then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem
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The length of AB (the minor arc) is 40 cm. What is the circumference of C?
A. 360 cm
B. 120 cm
C. 60 cm
D. 240 cm
E. 6.67 cm
F. 24 cm
Answers
Answer: 240 cm
Explanation : the circumference of C is: 6 X 40=240
Which function has an asymptote at x = pi?
A. y=sec x
B. y=tan x
C. y=csc x
D. y=cos x
Answers
Answer:
C. y = csc x
Step-by-step explanation:
--------------------
Answer:
y=sec x
Step-by-step explanation:
this is the correct answer, i put in the other persons answer and got it wrong
Eric went for a drive in his new car. He drove for 182.4 miles at a speed for 57 miles per hour. For how many hours did he drive?
Answers
Answer:
3.2 hours
Step-by-step explanation:
182.4÷57=3.2
time divided by speed equals time
Question content area top
Part 1
A computer store buys a computer system at a cost of $. The selling price was first at , but then the store advertised a markdown on the system. Answer parts a and b.
Question content area bottom
Part 1
a. Find the current sale price.
The sale price is $
enter your response here.
(Round to the nearest cent as needed.)
Part 2
b. Members of the store's loyalty club get an additional % off their computer purchases. How much do club members pay for the computer with their discount?
The price for club members is $
enter your response here.
(Round to the nearest cent as needed.)
Answers
a. The current sale price for the computer system is given as follows: $618.4.
b. The amount paid by the club members, with the discount, is given as follows: $587.48.
How to obtain the prices?The prices are found applying the proportions, which are the decimal equivalent of the percentages relative to each discount.
The selling price is of:
$773.
The markdown is of 20%, hence the current sale price is 100 - 20 = 80% of the selling price, hence:
0.8 x 773 = $618.4.
Club members get an additional discount, of 5%, meaning that they pay 95% of $618.4, and the amount is obtained as follows:
0.95 x 618.4 = $587.48.
Missing InformationThe problem is given by the image presented at the end of the answer.
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A kite is attached to a 20 foot string that is staked to the ground . how far above the ground is the kite?
Answers
Answer:
12ft
Step-by-step explanation:
Answer:
The kite is 15ft from the ground
Step-by-step explanation:
What is a real solution example?
Answers
Solutions refers to the answer to the problem, The example of real solution can be the solution for the value of 'x' in a equation.
What do you mean by a solution?In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
example:
x+2=0
x=-2
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if jimmy had had 9 apples and karl has 10 how mush togheter
Answers
If 8n + 25 = 65, then n is
a. 5.
648.
less than
of 45 is
b. 10.
C. 40.
Answers
-25
8n=40
n=5 (answer choice a)
8n + 25 = 65
8n = 65 - 25
8n = 40
8n/ 8 =40/8
n = 5..
firstly I made 8n the subject of the formula by taking 25 to the other side which gives u 8n = 65 - 25and the reason why the sign changed chnged os because when send a number to the other side the sign changes and then i divided both sides by 8
Find the lengths of the diagonals of rectangle WXYZ
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.
Answers
A rectangle is a four-sided geometric shape where opposite sides are parallel and congruent. The diagonals of a rectangle are two lines that connect the opposite corners of the rectangle, and they bisect each other at 90 degrees.
Briefly defined, what is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Given the sides of rectangle WXYZ are WY = 14x + 10 and XZ = 11x + 22. We can find the length of the diagonals using the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the diagonal of the rectangle) is equal to the sum of the squares of the other two sides (the sides of rectangle)
Diagonal WX: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)
Diagonal YZ: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)
So, the lengths of the diagonals of rectangle WXYZ are √(317x^2 + 940x + 584) units.
Note that the diagonals of a rectangle are congruent and the value of x is not a known, the diagonal of rectangle is the value of the square root of the expression.
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Answer: 66
Step-by-step explanation:
I skipped it to see the answer hope this helps
Can someone plz help me I would appreciate it, thanks?!
Answers
Answer:
Hey I’m a friend of Carson’s, do u know what Ari‘s acc name is?
Step-by-step explanation:
Answer:
hi thanks for the question
Step-by-step explanation:
Quadrilateral ABCD below is reflected about line m. After the reflection, how is the perimeter of A'B'C'D' related to the perimeter of ABCD?
Quadrilateral ABCD below is rotated 180°. After the rotation, how is the area of A'B'C'D' related to the area of ABCD?
Answers
Reflection and rotation will not alter the perimeter of the quadrilateral
What is transformation?
Transformation is a term used in mathematics to refer to the movements made by objects.
Transformations has basically classifications
non rigid transformationRigid transformationNon rigid transformation are the transformation where the dimension or size of the object will be different going from preimage to the image, example is dilation
In rigid transformation, the dimensions of the object is maintained or not altered through out the transformation process. instance of rigid transformations are
rotationreflectiontranslationBecause the transformation used are all rigid transformations then all the sides will remain same and the perimeter conserved
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In the diagram below, what is the value of x rounded to the nearest whole number? If necessary, round your answer to the nearest tenth of a unit. 17 с х D 10 24 O A. 24 O B. 17 O O C. 7 O D. 12
Answers
Answer:
12
Step-by-step explanation:
There is no specific work, but this is assuming that the triangles are cut in the middle equally, and 24/2 = 12
Hiiooo! Can someone please help with this!❤️:)
Answers
Which of the following statements are true about line segments?
Answers
Which of the following statements are true about line segments
Answer: that connect two endpoints
A boat moving at a constant rate will travel 26 miles in 2 hours. If the boat maintains this rate, how many miles will the boat travel in 5 hours?
Answers
Given:
A boat moving at a constant rate will travel 26 miles in 2 hours.
To find:
The distance that will the boat travel in 5 hours.
Solution:
It is given that,
The distance traveled by the boat in 2 hours = 26 miles
The distance traveled by the boat in 1 hour = [tex]\dfrac{26}{2}[/tex] miles
= [tex]13[/tex] miles
The distance traveled by the boat in 5 hour = [tex]5\times 13[/tex] miles
= [tex]65[/tex] miles
Therefore, the boat will travel 65 miles in 5 hours.
el numero decimal 3,1 representa a la fraccion 3 entre 10
Answers
Answer:
ne cheaso le uprenta singil layu ka bts dung lyr
NEED HELPP QUICK NO LINKS PLEASE!!
Answers
Answer:
May be only relation 3 is the function.
The diameter of a circle is 8 cm. Find its area in terms of π.
Answers
Answer:
[tex]16\pi[/tex] [tex]cm^2[/tex]
Step-by-step explanation:
Area of a circle is equal to [tex]\pi r^2[/tex], where r is the radius
[tex]A=\pi r^2[/tex]
A diameter is twice the length of the radius. ([tex]8/2[/tex])
So the radius is 4 cm.
[tex]r^2=4^2=16[/tex]
so the Area is [tex]16\pi[/tex]
Paul took a 140 mile trip on his motorcycle. If he drove 60% of his trip on the first day, how many miles did Paul drive on day one? Answer value
Answers
Answer:
84 miles
Step-by-step explanation: 140/100 x 60 which gives you 84 miles
What is the value of 2/21 - 1/3
1. -5/21
2. 1/18
3. 5/21
4. 3/7
Whoever helps gets 15 points
Answers
explanation:
1/2y+3.2y=20 need some help, not very good with functions :/ asap tho pls-
Answers
Answer:
hopefully this will help you on your journey!
Please help ASAP will give 5 stars and brainliest if possible!!
Answers
answer
the dot will be shaded and the line goes to the positive part because x is more than or equal to 3
pleaseeee helpppppppppp
Answers
Answer:
A
Step-by-step explanation: