which of the following is correct statement about this relation?

Which Of The Following Is Correct Statement About This Relation?

Answers

Answer 1

Given:

The relation is:

(-3,1),(-2,3),(-1,5),(0,7),(1,9),(2,11)

To find:

The slope and y-intercept for the given relation.

Solution:

Consider any two points from the given relation.

Let the two points are (0,7) and (1,9). So, the slope of the given relation is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{9-7}{1-0}[/tex]

[tex]m=\dfrac{2}{1}[/tex]

[tex]m=2[/tex]

The slope of the given relation is 2.

A point of relation is (0,7). It means the value of relation is 7 at x=0.

So, the y-intercept is 7.

Therefore, the correct option is D.


Related Questions

3-gallon container of disinfectant costs $52.80. What is the price per cup?

Answers

The answer would be 17.6

The population of the city of Atlantis on March 30, 2008 was 183,000. The number of new active cases of TB occurring between January 1 and June 30, 2008 was 26. The number of active TB cases according to the city register on June 30, 2008 was 264. The incidence rate of active cases of TB for the 6-month period was:

Answers

Answer:

[tex]\%Rate = 0.0142\%[/tex]

Step-by-step explanation:

Given

[tex]Population = 183000[/tex]

[tex]New\ Cases = 26[/tex]

[tex]Active\ Cases = 264[/tex]

Required

The incidence rate

This is calculated as:

[tex]\%Rate = \frac{New\ Cases}{Population} * 100\%[/tex]

[tex]\%Rate = \frac{26}{183000} * 100\%[/tex]

[tex]\%Rate = 0.0001420765 * 100\%[/tex]

[tex]\%Rate = 0.01420765\%[/tex]

[tex]\%Rate = 0.0142\%[/tex] --- approximated

Hence, the incidence rate is 0.0142%

What slope is being shown in the equation:
y-9=-3(x+6)

Answers

The slope is -3. The slope equals the coefficient of x and in this equation that would be -3.

The captain of the basketball team wants to determine where the team should go for their end-of-season celebration. Which of the following is a representative sample? Select all that apply.
A.


The students in her homeroom
B.


Players whose names are randomly selected from a hat
C.


The players in the starting lineup
D.


All players over 5 feet tall
E.


Every 5th player selected from an alphabetical roster of the team

Answers

The answer is c . Players whose names are randomly selected from a hat

The representative samples are Players whose names are randomly selected from a hat and Every 5th player selected from an alphabetical roster of the team. (Option B and E).

What is Representative Sample?

A representative sample is a subset of a larger population that accurately reflects the characteristics, diversity, and distribution of the entire population. When conducting research or making decisions based on data, it is often impractical or impossible to collect information from every individual in the population. Instead, researchers or decision-makers select a representative sample to draw conclusions or make inferences about the entire population.

For a sample to be considered representative, it should be selected in a way that ensures each member of the population has an equal or proportional chance of being included. In the given problem, both options provide a fair chance for each team member to be included in the selection for the end-of-season celebration destination.

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please help me im almost done!​

Answers

Answer:

if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true

I put the answers in bold

hope this helps!

Step-by-step explanation:

please help!
Which transformation could NOT be used to prove that two circles are congruent to one another?

a dilation with a scale factor of 2

a dilation with a scale factor of 1

a reflection

a rotation

Answers

A transformation which can not be used to prove that two circles are congruent to one another is: A. a dilation with a scale factor of 2.

The types of transformation.

In Mathematics, there are different types of transformation and these include the following:

ReflectionRotationTranslationDilation

What is dilation?

Dilation can be defined as a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

In this context, we can reasonably infer and logically deduce that a dilation with a scale factor of 2 would change the size of the two circle and as such making them incongruent.

In conclusion, a dilation with a scale factor of 1, reflection and rotation can be used to congruency in two circles.

Read more on dilation here: brainly.com/question/20482938

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A map is drawn using a scale of 40 kilometers to 1 centimeter. The distance between two cities is 300 kilometers. How far apart are the two cities on the map? ​

Answers

Answer:

7.5 cm

Step-by-step explanation:

40:1

× by 7.5 to get 300 km so do the same to the other side (1) and you get 7.5 cm

sorry if its incorrect

The piping connection to the vacuum pump should be

Answers

Answer: Micron gauges (electronic vacuum gauges) should be connected directly to the system – not at the pump – to check the vacuum at the system

Step-by-step explanation:

Answer i am smart

Step-by-step explanation:

Use the figure for 1-4.
E
HT
F
K
А
D
B
2. Use geometry notation to identify a ray.

Answers

Answer: the ray is K to A

Step-by-step explanation: a ray can be defined as a part of a line that has a fixed starting point (being K) but no fixed end point

(I would like to see the answer choices please)

factor this quadratic polynomial -8x^2+8​

Answers

8 (-x+1) (x+1)


8 (-x^2+1)

(1-x) (1+x)

Rearrange into (-x+1) (x+1) and add the 8 back where it was

8 (-x+1) (x+1)

Answer:

This is my answer

Step-by-step explanation:

-8×12+8

-96+8

-88____so this is the answer I solved it properly

anime recommendations

Answers

Answer:

what genre babe‍♀️

Answer:

It depends on a lot what kind you like and if u have watched a lot

the promised Neverland

Black Clover

Aot

HxH

Monster

Code grass

The classroom of the elite

Psycho pass season 1 only

COMEDY

The disastrous life of saiki k

Kaguya sama love is war

Which table of ordered pairs represents a proportional relationship? I’m a timer please hurry thank you so much
х
-3
-4
-5
у
3
2
1
x
-1
-3
-5
у
1
3
5
-2.
-4
-6
y
1-5
1-7
-9
х
--2
-3
-4
у
0
-1
1-2
I

Answers

Answer:

I'd say the second one. the others are all showing a linear relatiknship

a square with 4 congruent isocelies triangles if the length of x is 12 what's the length of the feet

Answers

Is there a picture attached to this??

Answer:

ya yeet 69 420 peepeepoopoo check

Step-by-step explanation:

I HAVE 69 CHILDREN WJANAJSNJSSJJSJSJSJSJDJDJDJDJDJDJDJDJDHDJDBDNDJDJJDJDJDJDYFUWOQOZJCBFBDJXKWJWIFOIGCHBSJQLSOCOCFHHWJWKWROTOGU HSNQJXshsnanqmqmqn1j1n1nNNNNNNRRRRRRRRRGGGRRRRRRRNNNNEEEEEEEEQQQQQQWWWWWAAAAARRRRRRRRRRRRNNNNNIIIIIIIGGGGGGGGGEEEEERRRRRRRRRRRnbjjjjjj

Which transformation could NOT be used to prove that two circles are congruent to one another?
a dilation with a scale factor of 2
a dilation with a scale factor of 1
a reflection
a rotation

Answers

Answer:

the congruent the congruent???

Step-by-step explanation:a dilation a dilation with two factors???

The transformation which could not be used to prove that two circles are congruent to one another is dilation with a scale factor of 2.

Option A is the correct answer.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2πr.

We have,

Dilation:

It changes the size of the figure so, the transformed figure is not congruent with the original figure.

Scale factor = 1 will not change the size of the figure.

Scale factor = 2 will change the size of the figure.

Reflection:

It does not change the size or the shape.

Rotation:

It does not change the size or the shape.

Thus,

The transformation of dilation with a scale factor of 2 could not be used to prove that two circles are congruent to one another.

Learn more about circle here:

https://brainly.com/question/11833983

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Janet is writing a book. She writes 3 pages every 2 days. If she continues at the same
pace, how long will it take her to write a 400-page book?
Which proportion could be used to solve this problem?

Answers

It will take her 6 days to write a book because 3 times 2 equals 6

HELP ASAP!! In a right triangle, the longer leg is twice the shorter leg and the hypotenuse is 8 more than the shorter leg. Find the length of the shorter leg.

Answers

Answer:

We can't find an exact number, but the answer is x.

Help ASAP pls I will give 10 points

Answers

Answer:

it is thr 3rd answer hope it help you

If you partition ¼ into 6 equal segments, how long is each segment?

Answers

Answer:

1/24

Step-by-step explanation

I'm pretty sure that you just do 1/4 times 6 to get 1/24 so each segment will be 1/24.

Answer this correctly I’ll give brainalist + 10 points

Answers

Answer:

x = 43

Step-by-step explanation:

Since these angles are inside a right angle, we know their sums are complementary (they add up to 90°.)

x + x + 4 = 90

2x + 4 = 90 | Combine x's

2x = 86 | Subtract 4 from both sides

x = 43 | Divide both sides by 2

Select all the expressions that are equivalent to 10x + 4 - (6x - 1)

Answers

Answer:

4x + 5

Step-by-step explanation:

10x + 4 - 6x + 1

= 4x + 5

A triangle has side lengths of 4cm, 6cm, and 11cm. Is the triangle acute, obtuse, or right?

Answers

Answer:

No

Step-by-step explanation:

Three segments 4cm, 6cm, and 11cm cannot form a right triangle because if they could, then by Pythagorean theorem, 4^2 + 6^2 = 11^2, which is not true.

Moreover, the three segments cannot form an acute or obtuse triangle because by Triangle Inequality Theorem, the sum of two sides has to be greater than the third side. Here, (4cm + 6cm) is NOT larger than 11cm, and thus you cannot form a triangle.

Hope it helps,

Please mark me as the brainliest

Thank you

i need help with this pls.

Answers

Answer:

The answer is D

Step-by-step explanation:

Plug all of the numbers in and they all work with the problem.

Need it now. I'll give you another 100 when done if all i right.

Answers

This it the test please do as fast as posible and show work. thank you and sorry

A team manager buys a team jacket and a team cup for each of the 10 players on the dodgeball team. Each team cup costs $10.70. The team manager spends a total of $293 for the team jackets and team cups. Enter an equation that models the situation with u, the cost of one team jacket.

Answers

Answer:

293/10=u

thats the equations

What is a angle called when two angles share a common side and a common vertex

Answers

They are called “Adjacent Angles”

Answer:

Adjacent Angles

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap. They share the same vertex and the same common side.

Factorise
7lm - 21lmn​

Answers

Answer:

7lm - 21lmn

taking common 7lm

7lm(1-3n)

There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to prevent terrorism. Suppose a particular surveillance system has a 96% chance of correctly identifying a future terrorist and a 99.8% chance of correctly identifying someone who is not a future terrorist. If there are 1,000 future terrorists in a population of 200 million, and one of these 200 million is randomly selected, scrutinized by the system, and identified as a future terrorist, what is the probability that he/she actually is a future terrorist

Answers

Answer:

0.9976 = 99.76% probability that he/she actually is a future terrorist

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Person identified as a future terrorist

Event B: Person is actually a future terrorist.

Probability that a person is identified as a future terrorist:

96% of [tex]\frac{1000}{200000000}[/tex]

100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]

So

[tex]P(A) = 0.96\frac{1000}{200000000} + 0.002\frac{200000000-1000}{200000000} = 0.002[/tex]

Probability of being identified and being a future terrorist:

100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]

[tex]P(A \cap B) = 0.002\frac{200000000-1000}{200000000} = 0.00199999[/tex]

What is the probability that he/she actually is a future terrorist

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00199999}{0.00200479} = 0.9976[/tex]

0.9976 = 99.76% probability that he/she actually is a future terrorist

Find cos (P)
Q
74
70
P
24
R
A.
37
12
В.
35
37
C.
12

Answers

Answer:

cos P = 71.09

Step-by-step explanation:

cos = [tex]\frac{adajcent}{hypotenuse}[/tex]

cos P = [tex]\frac{24}{74}[/tex]

cos P = 0.324

cos-1 of 0.324 is 71.09

cos P = 71.09

A particle moves along a horizontal line so that its position at time t, t ≥ 0, is given by
s(t) = 40 + te^−t/20.
Find the minimum velocity of the particle for 0 ≤ t ≤ 100.

Answers

Answer:

The minimum velocity of the particle  = [tex]-e^{-2 }[/tex] units

Step-by-step explanation:

Given - A particle moves along a horizontal line so that its position at time t,

t ≥ 0, is given by  s(t) = 40 + te^−t/20.

To find - Find the minimum velocity of the particle for 0 ≤ t ≤ 100.

Proof -

Velocity, v(t)  = [tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex]

Now,

[tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex] =  [tex]\frac{d}{dt}(40 ) + \frac{d}{dt}(te^{-\frac{t}{20} } )[/tex]

                       = 0 + [tex]t\frac{d}{dt}(e^{-\frac{t}{20} } ) + e^{-\frac{t}{20} }\frac{d}{dt}(t )[/tex]

                       = [tex]t(-\frac{1}{20} )e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]

⇒v(t) = [tex]-\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]

Now,

For minimum velocity, Put [tex]\frac{d}{dt}(v(t)) = 0[/tex]

Now,

[tex]\frac{d}{dt}[v(t)] = \frac{d}{dt} [ -\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} } ][/tex]

           = [tex]-\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }[/tex]

Now,

Put [tex]\frac{d}{dt}(v(t)) = 0[/tex], we get

[tex]-\frac{2}{20} = - \frac{t}{400}[/tex]

⇒t = 40

Now,

Check that the point is minimum or maximum

Calculate  [tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]

Now,

[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{d}{dt} [ -\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }][/tex]

            = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]

⇒[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]  = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]  > 0

∴ we get

t = 40 is point of minimum

So,

The minimum velocity be

v(40) = [tex]-\frac{40}{20}e^{-\frac{40}{20} } + e^{-\frac{40}{20} }[/tex]

      = [tex]-2e^{-2 } + e^{-2 }[/tex]

      = [tex]-e^{-2 }[/tex]

⇒v(40) = [tex]-e^{-2 }[/tex] units

∴ we get

The minimum velocity of the particle  = [tex]-e^{-2 }[/tex] units

A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:y=x+0

Step-by-step explanation:

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