Decide whether the relation is a function:
{(-3, 7), (1, -8), (6, -6), (7-8), (12, 2)}

Answers

Answer 1

Answer:

It is a function

Step-by-step explanation:

A function is of the form:

[tex]\left[\begin{array}{c}x_1&x_2&x_3\\-&-&-\\x_n\end{array}\right][/tex]            [tex]\left[\begin{array}{c}y_1&y_2&y_3\\-&-&-\\y_n\end{array}\right][/tex]

Where each of the x values must be distinct.

The x values are referred to as domain while the y values are called range.

Having said that, the given data can be represented as follows:

[tex]\left[\begin{array}{c}-3&1&6\\7&12\end{array}\right][/tex] ----------- [tex]\left[\begin{array}{c}7&-8&-6\\-8&2\end{array}\right][/tex]

From the representation above, none of the x values are repeated.

Hence, it is a function


Related Questions

What’s the next number in the pattern, and what is the formula to find the next number in the pattern? 7, 28, 63, 112...

Answers

Answer:

7x3

the next number is 336

Step-by-step explanation:

help please!! … help

Answers

Answer:

True ................

WILL MARK BRAINLIEST IF CORRECT! How many solution? Is it 0? is it 1? is it infinite?

Answers

Answer:

Step-by-step explanation:

There are two restrictions on x:  First, x must be less than -4; second, x must be greater than 5.  Both of these inequalities have an infinite number of solutions, so overall this set of restrictions has an infinite number of solutions.

3. Write the equation and solve for: Five subtracted from the product of six point
and a number is the same as thirteen. (Use the letter "n" as your variable)

Answers

Answer:

*correct me if I'm wrong with the equation setup but I believe this is your answer.*

( 6 × n ) - 5 = 13

( 6 x n ) = 18

n = 3

Write an equation of the line with the given slope and y-intercept.

Answers

Answer:

A. [tex] y = \frac{1}{4}x + 2 [/tex].

Step-by-step explanation:

Equation of a line in slope-intercept form, is given as [tex] y = mx + b [/tex].

Given a slope (m) of ¼, and y-intercept (b) of 2, we can get the equation if the line by substituting m = ¼, and b = 2 into [tex] y = mx + b [/tex].

Thus, the equation of the line would be:

[tex] y = \frac{1}{4}x + 2 [/tex].

3) If g(x)= 3y - 2x+8, find g(y+10) in simplest form.

Answers

Answer:

10g

Step-by-step explanation:

The chart below contains the results of a survey of 25 students who were asked which musical instrument they play best. Instrument Played Best Instrument Students Violin 1 Piano 6 Guitar 2 Drums 3 What percent of the students responded to the survey? 12% 21% 48% 52%

Answers

Answer:

12%

Step-by-step explanation:

Add each number of students in the graph together. 1 + 6 + 2 + 3 = 12, so it's 12%.

Percentage of students who responded to the survey is 48 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The total number of students in the survey = 25 students

The number of students who played Violin = 1 student

The number of students who played Piano = 6 students

The number of students who played Guitar = 2 students

The number of students who played Drums = 3 students

So ,

Total number of students who played instruments =
Number of students who played Violin + Number of students who played Piano + Number of students who played Guitar + Number of students who played Drums

Total number of students who played instruments = ( 1 + 6 + 2 + 3 )

                                                                                    = 12 students

Now ,

Percentage of students who played the instruments = Percentage of students who responded to the survey

And ,

Percentage of students who responded to the survey =
( Total number of students who played instruments / Total number of students in the survey ) x 100

Percentage of students who responded to the survey = ( 12 / 25 ) x 100

                                                                                          = 12 x 4

                                                                                          = 48 %

Therefore , percentage of students who responded to the survey = 48 %

Hence , percentage of students who responded to the survey is 48 %

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Find the GFC of 28 and 30.

GFC =

Answers

Answer:

2

Step-by-step explanation:

Which points are 19 units apart?
○(-14, 12) and (5, 12)
○(-5, 19) and (-12, 19)
○(-20, 5) and (5, 12)
○(14, 12) and (5, 12)​

Answers

Answer:

(20,5) and (5,12) I think

Answer:

A:(–14, 12) and (5, 12)

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

The Ted Williams Tunnel under Boston Harbor is 2.57
kilometers long. How many meters is the length of the
tunnel?

Answers

Answer:m=2570

Step-by-step explanation:2.57kilos= 2570m

Select the better answer for the definition: Step Function.
1.A function that contains a variable under a radical symbol.
2.A function that uses different formulas for different parts of its domain.
3.A function that has a graph resembling a staircase.
4.There is no correct answer given.
5.A function that reverses another function.

Answers

Answer:

3

Step-by-step explanation:

it resembles a staircase when graphed

Which statements are true about the locations of points A and B? Select all that apply. Point A is at (0, -2). 4 Point A is at (0, -4). х Point A is at (4,0). Point B is at (-4, -3). -8 -4 4 co А -4. Point B is at (-8,-6). Point B is at (-8, -7). B -8



PLSSSS HELP​

Answers

point a is at (0,-4) and point b is at (-8,-7) :)

Answer:

B and F

Step-by-step explanation:

took the test

PLZ HELPP!! ITS ALMOST DUE!!! ILL MARK BRAINLIEST!!

Answers

Answer:

y= 1/2x + 6

Step-by-step explanation:

i hope that helps, I'm pretty sure that's what it is

Answer:

y = 1/2x + 6

Step-by-step explanation:

6 would be the y intercept as he had already planted the 6 rows.

slope = rise/run

1 would be the amount of rows in 1/2

2 would be the amount of hours each time

What is the measure of angle x

Answers

Answer:

there is nothing to look at or answer

1/3(9x+3)=3x+1 whats the solution

Answers

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Subtract 1 from both sides.

Let's solve your equation step-by-step.

1/3 (9x+3)=3x+1

Step 1: Simplify both sides of the equation.

1/3(9x+3)=3x+1

(1/3)(9x)+(1/3)(3)=3x+1(Distribute)

3x+1=3x+1

Step 2: Subtract 3x from both sides.

3x+1−3x=3x+1−3x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0

Answer:

All real numbers are solutions.

Is
A person's batting average is determined by dividing the number of hits by the
number of at bats. William has 11 hits in 53 at bats and has a batting average of
0.208. He wants to have a batting average of at least 0.300.
Which equation could be used to determine x, the number of hits in a row William
needs to get in order to have a batting average of at least 0.300?
11x
A. 0.300 s
53x
11
B. 0.300x s
53
11 + x
C. 0.300 s.
53
11 + x
D. 0.300 s
53 + x

Answers

The answer is... C. 0.300 s. 53 11+ x

Hope this helps!!

The equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].

What is inequality?

Inequality is a relation that makes a non-equal comparison between two expressions.

Batting average of William = 11/53

Desired batting average = 0.300

Suppose the number of more hits in a row to have desired batting average =x

Number of hits now =11+x

Number of bats now =53+x

It is given that the batting average should be a minimum of 0.300.

This means [tex]\frac{11+x}{53+x} \leq 0.300[/tex]

Therefore, the equation that could be used to determine x is [tex]\frac{11+x}{53+x} \leq 0.300[/tex].

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Juan and his father went on a driving trip.
Juan drove 32 miles more than his father.
Together, they drove 260 miles. How many
miles did Juan drive?

Answers

Answer:

162

Step-by-step explanation:

260/2=130

130+32=162

answer would be 6 thousand because operating

Find the measure of line segment TR​

Answers

Answer:

17

Step-by-step explanation:

Answer:

TR = 24 units

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product  of the external part and whole of the other secant, that is

3x(3x + 5x) = 8(8 + 19)

3x × 8x = 8 × 27

24x² = 216 ( divide both sides by 24 )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

but x > 0, thus x = 3

Thus

TR = 8x = 8 × 3 = 24

A rectangular parking lot is 3/4 mile long. If the area is 3/8 square mile, what is the width of the lot?

Answers

Answer:

it's .5 or 1/2

Step-by-step explanation:

3/8 ÷ 3/4 = 1/2

(4) Madison invested $5,000 at a rate of 7.5%. How much money did she have after 6 months?​

Answers

Answer:

A = $5,187.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7.5%/100 = 0.075 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 5000(1 + (0.075 × 0.5)) = 5187.5

A = $5,187.50

The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 7.5% per year for 0.5 years (6 months) is $5,187.50.

The amount of money she saved after 6 months is $5,187.50.

What is Percentage?

Chance formula is used to find the quantum or share of commodity in terms of 100. In its simplest form, percent means per hundred. To express a number between zero and one, chance formula is used. It's defined as a number represented as a bit of 100. It's denoted by the symbol, and is majorly used to compare and find out rates.

Given:

r = R/100

r = 7.5%/100

r = 0.075 per year.

Time = 6 months.

        = 6/12 = 1/2 year

So, Amount = 5000(1 + (0.075 × 0.5))

A = $5,187.50

The total amount accrued, principal plus interest is $5,187.50.

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Use the number line to represent all the solutions to the inequality -3(2j-11)>=8j-9.
Select a ray. Move the point on the ray to the correct place on the number line.

Answers

The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.

What is the solution to the given inequality?

Given the inequality in the question;

-3( 2j - 11 ) ≥ 8j - 9

First, we simplify using distributive property.

-3( 2j - 11 ) ≥ 8j - 9

-3×2j -3×-11 ≥ 8j - 9

-6j + 33 ≥ 8j - 9

Next, move all terms containing j to the left and all constant to the right.

-6j + 33 ≥ 8j - 9

-6j - 8j ≥ - 9 - 33

-14j ≥ -42

Divide both sides by -14.

Note that, when multiplying or dividing both sides of an inequality by a

negative value, the inequality sign flips directions.

-14j/-14 ≤ -42/-14

j ≤ -42/-14

j ≤ 3

Therefore, The solution to the inequality -3( 2j - 11 ) ≥ 8j - 9 can be represented in an inequality form or interval notation form as j ≤ 3 and (-∞,3] respectively.

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Determine the shaded areas part 2​

Answers

9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

integers -50-3-(-8) please answer correctly​

Answers

Answer:

-45

Step-by-step explanation:

Because 2 negatives become a positive:

-50-3 + 8 =

-53 + 8 =

-45

-50-3-(-8)

-50-3+8

-53+8

-45

Solve for x.
–30 = 5(x + 1)

Answers

Answer: x= -7

Step-by-step explanation: distribute first then minus 5 from -30 then divide by 5 x


(b) Find the value of k such that point (3,-2) lies on the locus 2x²-3y² + 2k-6y + 2 = 0

Answers

Answer:

[tex]{ \tt{ {2x}^{2} - {3y}^{2} + 2k - 6y + 2 = 0 }} \\ { \tt{ \{x = 3 \: \: and \: \: y = - 2 \}}} \\ { \tt{ {2(3)}^{2} - {3( - 2)}^{2} + 2k - 6( - 2) + 2 = 0}} \\ { \tt{18 - 12 + 2k + 12 + 2 = 0}} \\ { \tt{2k + 20 = 0}} \\ { \tt{2k = - 20}} \\ { \tt{k = - 10}}[/tex]

Answer:

⇒ k=−9

Step-by-step explanation:

then put P(−2, 2) and we get,

x

2

−7x+ky=0

(−2)

2

−7(−2)+k(2)=0

⇒ 4+14+2k=0

⇒ 18+2k=0

⇒ 2k=−18

⇒ k=−9

again point Q(3, a) lies on the locus

the, put Q(3, a) and k=−9. We get

x

2

−7x+ky=0

(3)

2

−7(3)+(−9)×a=0

9−21−9a=0

−9a=+12

a=

9

−12

a=

3

−4

The first three terms of an arithmetic sequence are as follows 9,4,-1 find the next two terms

Answers

The following two terms of an arithmetic progression are -6 and -11.

What is an arithmetic sequence?

An arithmetic sequence is defined as a progression of numbers such that the difference between successive terms is consistent. It is also called Arithmetic Progression. The formula for tthe last term of an AP is given as: an = a + (n-1)d, here, a is the first term, n is the number of terms and d is the difference between two successive terms.

Finding the two terms of an arithmetic sequence

The first three terms of an arithmetic sequence are given by:

a1 = 9

a2 = 4

a3 = -1

Now, we want to calculate a4 and a5

Using the formula for calculating the next term of an arithmetic progression, we get,

a4 = a + (n-1)d, where n = 4 and d = 5

a4 = 9 + (4-1)(-5)

a4 = 9 - 15

a4 = -6

Further, a5 = a + (n-1)d, where n = 5 and d = 5

a5 = 9 + (5-1)(-5)

a5 = 9 - 20

a5 = -11

Hence, the next two terms of an AP are -6 and -11.

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5.734 rounded to the nearest whole number

Answers

Answer:

6

Step-by-step explanation:

anything over 5 you round up.

7 is greater than 5 so you round up to 6

Answer: 5

Step-by-step explanation:

If the number is 5 or more, you round it up.

It the number is 4 or less, you leave it alone.

Using this process, we eliminate the numbers .734

We get the number 5 as our answer.

What’s this answer to this question

Answers

the slope of that is (2, 3.5)

Find the intersection of line ce and line eb

Answers

The answer is b hope this helps

I need help and a answer tonight

Answers

simplest form, good luck on ur assignment
Simplest form! Any more?
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