Identify the domain and range of each relation. Is the relation a function?
x y
5 3
8 6
10 11

Answers

Answer 1

Answer:

No

Step-by-step explanation:

Considering domain and range of a function, we first have to create the function based off the given points.

So this would mean first having to find the slope of the equation, which would be using the slop/point formula of [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex]

Taking the first 2 points, it would make the equation as follows:

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1[/tex]

To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5[/tex]

Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.


Related Questions

A 480 page book is 2.4 cm thick(not counting the thickness of the covers.). Find the thickness of 380 pages of the book​

Answers

Set up a proportion:

2.4/480 = x/380

Cross Multiply:

480x = 912

Divide both sides by 480:

x = 1.9

Answer: 1.9 cm thick

What is the prime factorization of 72?

A. 1 x 2 x 4 x 9
B. 2^2 x 3^2
C. 2^2 x 3^3
D. 2^3 x 3^2

Answers

Answer:

the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =

Step-by-step explanation:

Is 18 is 25% of 72 true or false
Step by step evidence

Answers

Answer:

true

Step-by-step explanation:

25% of 72

25/100 * 72

= 1/4 * 72

= 18

What is the place value of 8 in 4.08?
20+ Points

Answers

Answer: The place value of 8 is in the hundredths. This would be called four and eight hundredths.

Would appreciate brainly <3

Hello there!

The value of 8 is:

Hundredths

The second number after the decimal point is in the hundredths place.

Hope it helps!

Please mark brainliest!

~Just a determined gal

[tex]MysteriousNature[/tex] here to help

What is the end behavior of a sixth degree polynomial function whose leading coefficient is
negative?

Answers

Answer:

  both ends tend toward negative infinity

Step-by-step explanation:

The ends of an even-degree polynomial go in the same direction. The sign of that direction matches the sign of the leading coefficient.

Here, the leading coefficient is negative, so ...

  y → -∞   when   x → ±∞

Mrs Granger is writing problems for a test about subtracting fractions.Help her write two different subtraction problems that use only odd numbers for numerators and each have a difference of 3/4

Answers

1.

The first subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is 1 - ¹/₄

The first subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is

1 - ¹/₄ = ¹/₁ - ¹/₄

taking the L.C.M which is 4, we have

= (4 - 1)/4

= 3/4

So, the first subtraction problem is 1 - ¹/₄

2.

The second subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is 2¹/₂ - 1³/₄

The second subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is

2¹/₂ - 1³/₄ = ⁵/₂ - ⁷/₄

taking the L.C.M which is 4, we have

= (10 - 7)/4

= 3/4

So, the second subtraction problem is 2¹/₂ - 1³/₄

Learn more about subtraction of fractions here:

https://brainly.com/question/8917933

Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
OY =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?

Answers

Using the slope - intercept form to represent the scenario described, the equation obtained would be y = 0.35x + 8

The cost per ride represents the intercept = $8

The cost per mile represents the slope = $0.35

The slope - intercept form of a linear equation is expressed as :

y = bx + c

b = slope ; c = intercept

Therefore, the slope intercept form for the cost of taxi ride is y = 0.35x + 8

Learn more : https://brainly.com/question/18796573

4x + y = 16
y = 0.5x -2

Answers

Answer:

x = 4, y = 0

Step-by-step explanation:

A furniture company charges 0.45 per pound
for shipping

Write an equation for the cost(y) of shipping
x pounds.

Use it to determine the cost of shipping a
12-pound chair.

Answers

The cost of the shipping a 12 pound chair is 5.4 all you need to do is 0.45 x 12 =5.4

0.45=Y 5.3=X

The graph shows that the solution to 2 = 0.5^x is X = -1 What is the solution to 2 = 0.5^x - 4
Answer in Complete Sentences

Answers

Step-by-step explanation:

2 = 0.5^x - 4 is the same as

6 = 0.5^x

x is the logarithm of 6 to the base of 0.5.

which is the same as

log(6)/log(0.5) = -2.584962501...

Simplify the linear expression

-5/8a+2/3-1/4a-5/6

Enter your answer as simplified fractions in the boxes.

Answers

Answer:

[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.

consider the line y= -4/7x+2

Answers

Answer:

y=(7/4)x + 12, y=(-4/7)x -46/7

Step-by-step explanation:

first for the perpendicular line: we know the slope is the opposite reciprocal of -4/7, so m= 7/4. now we have y= 7/4 x +b. b is the y-intercept. to find b plug in the point (-8,-2). -2=(7/4)(-8) + b = -14+b so b=12. so the slope of the perpendicular line is y=(7/4)x + 12

parallel:

since the line is parallel the slope is -4/7. so we have y=(-4/7)x + b. next plug in the point (-8, -2) to find b: -2 = (-4/7)(-8) + b = 32/7 + b. so b= -46/7

Write the equation of the line that passes through the point (-3, 6) and is parallel to the line
whose equation is y=1/2x+5?

Please help me

Answers

Answer:

[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]

Answer:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the x-axis).Parallel lines always have the same slope (m)

1) Determine the slope (m)

[tex]y=\displaystyle\frac{1}{2} x+5[/tex]

From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:

[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

I hope this helps!

what is the sequre of 9?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The square root of 9 is 3.

√9=3

Hope this helps :)

7. Juanita is painting her house. She can either
buy Brand A paint and a paint roller tray or
a
Brand B paint and a grid for the paint roller. For
how many gallons of paint would the price for
both options be the same? If Juanita needs 15
gallons of paint, which is the better option?

Answers

Step-by-step explanation:

brand a is better option why because we have paint and paint roller

If you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Suppose y is the total cost and x is the gallons cases,

The equations according to the given condition are,

y = 27 x + 3

y = 2x +5

The values obtained after solving the above equation will be (1,30). As a result, 1 gallon of paint cost you $ 30.

For condition 2 Juanita needs 15 gallons of paint, x =15

For A, y = 408

For B, y = 380

The brands A and B cost $408 and $380.So the brand costs Juanita more.

Thus, if you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.

Learn more about the equation here,

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#SPJ5

A survey recently reported that the mean national annual expenditure for inpatient and outpatient services of all persons over 64 years of age was $5,423 with a standard deviation of $979. A random sample of 352 persons over age 64 living in Sudbury had an average expense of $5,516. We want to test whether the mean inpatient and outpatient expense of all Sudbury residents over age 64 is higher than the national average of $5,423. Calculate the P-value for this test.

Answers

Using the z-distribution, it is found that the p-value for this test is of 0.0375.

At the null hypothesis, it is tested if the expenses are the same as the national average, that is, of $5,423. Hence:

[tex]H_0: \mu = 5423[/tex]

At the alternative hypothesis, it is tested if it is higher, hence:

[tex]H_1: \mu > 5423[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 5516, \mu = 5423, \sigma = 979, n = 352[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{5516 - 5423}{\frac{979}{\sqrt{352}}}[/tex]

[tex]z = 1.78[/tex]

The p-value is the probability of finding a sample mean above $5,516, which is 1 subtracted by the p-value of z = 1.78.

Looking at the z-table, z = 1.78 has a p-value of 0.9625.

1 - 0.9625 = 0.0375

Hence, the p-value for this test is of 0.0375.

A similar problem is given at https://brainly.com/question/25549474


Emily is on a Ferris wheel and her height is modeled by the equation
27
y = 30.48 cos2pi/4.25 (x - 2) + 34.27 where x = the number of minutes since the
ride began and y = the height in feet of Emily.
a) What is the radius of the Ferris wheel?
b) How long does it take Emily to make one rotation?
The radius is______
feet and it takes Emily_____
minutes for one rotation.

Answers

The given function for the height of the Ferris wheel is a sinusoidal equation.

a) The radius is 30.48 feet and it takes Emily 4.25 minutes for one rotation

Reasons:

The function that gives the height of the Ferris wheel is presented as follows;

[tex]\displaystyle y = 30.48 \cdot cos \frac{2\cdot \pi }{4.25} \cdot \left(x - 2 \right) + 34.27[/tex]

Where;

x = The number of minutes since the ride began

y = The height in feet of Emily

a) Required:

The radius of the Ferris wheel

Solution:

Comparing the given equation with the general equation of a Ferris wheel, we have;

[tex]\displaystyle f(t) = \mathbf{A \cdot trig\left(B \cdot \left(t + C\right) \right) + D}[/tex]

The amplitude of the Ferris wheel = A = 30.48

The amplitude, A = The largest distance from the center = The radius, r

A = r

Therefore;

The radius of the Ferris wheel, r = A = 30.48 feet

b) The time it takes the Emily to make one rotation is given by the period, T, of the motion of the Ferris wheel as follows;

[tex]\displaystyle T = \mathbf{\frac{2 \cdot \pi}{B}}[/tex]

By comparison, we have;

[tex]\displaystyle B = \frac{2 \cdot \pi}{4.25}[/tex]

Therefore;

[tex]\displaystyle The \ period, \, T = \frac{2 \cdot \pi}{\left(\frac{2 \cdot \pi}{4.25} \right)} = 4.25[/tex]

The time it takes Emily to make one rotation, T = 4.25 minutes

Learn more here:

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Andrew invests $9000

Answers

What are you asking?

what is the prime number of 30 to 59​

Answers

Answer:

the prime numbers between 30 and 59 are 31, 37, 41, 43, 47, 53

in a class of strength 60, 75% like to become teachers. how manu dont like to be teachers?

Answers

No. of people don't like to be teacher

= 100% - 75% = 25%

[tex] \frac{25}{100} \times 60 \\ = 15[/tex]

So, 15 number of students doesn't like to be teacher

45x7
what is 45x7
cause I dont know anymore

Answers

Answer:

315

Step-by-step explanation:

If f(x) and f^-1(x) are inverse functions of each other and f(x)=2x+5, what is f^-1(4)?

Answers

Answer:

4.5

Step-by-step explanation:

We are here given that ,

=> f(x) = 2x - 5

=> y = 2x - 5

Replace x and y with each other .

=> x = 2y - 5

solve for y ,

=> 2y = x +5

=> y = (x+5)/2

=> f-¹(x) = (x+5)/2

Now ,

=> f-¹(4) = 4+5/2 = 9/2 = 4.5

In a group of 34 students, 12 study both Art and Biology.
14 study Biology but not Art.
5 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer:

3

Step-by-step explanation:

12+14+5=31

so therefor 34-31=3

I'm not too sure but, wouldn't you just do the following

12 + 14 + 5 = 31

which would mean 15 students do art??

20% of 50. Mathmethics

Answers

Answer:

1000%

Step-by-step explanation:

just multiply both

brainliest pls

Answer:

10

Step-by-step explanation:

 20 x 50

    100  

         

what is the value of n in the equation? 2.6 x 10^-2 = (5.2 x 10^7) / (2 x 10^n)

Answers

Answer:

  -9

Step-by-step explanation:

  2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)

  2.6×10^-2 = 2.6×10^(7-n)

The mantissas are equal, so we can equate the exponents:

  -2 = 7 -n

  n = 7 +2 = 9 . . . . . . add n+2

The value of n in the equation is 9.

What is the answer to
2 3/8 - 1 5/8 =

Answers

Answer:

6/8

Step-by-step explanation:

you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8

reduce if you can

Will give brainliest if helpful and correct

Answers

Answer:

(-2, -1.5)

Step-by-step explanation:

hope this helps!

geomtry plz help 15 points

Answers

Answer:

m∠E=57°

Step-by-step explanation:

∠FDE=∠FED=(4x+1)° (base angles of isos triangle)

2(4x+1)+(5x-4)=180 (angle sum of triangle)

    8x+2+5x-4=180

             13x-2=180

                 13x=180+2

                       =182

                     x=182÷13

                       =14

Hence, m∠E = (4x+1)°

                     = [4(14)+1]°

                     = (56+1)°

                     = 57°

Answer:

m∠E=57º

Step-by-step explanation:

All angles in a triangle add up to 180º.

The triangle given is an isosceles triangle.

(4x+1)+(4x+1)+(5x-4)=180

Remove parentheses.

4x+1+4x+1+5x-4=180

Collect like terms.

13x+1+1-4=180

Add and subtract.

13x-2=180

Add 2 from both sides of the equation.

13x=182

Divide 13 from both sides of the equation.

x=14

m∠E=(4x+1)º

4x14+1=57º

m∠E=57º

Hope this helps :)

Please take a look at the picture

Answers

Answer:

B) [tex]-\frac{a}{-b}[/tex]

Step-by-step explanation:

The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.

Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.

B is the answer to this question.

1. BC=DA
how do i find the reason

Answers

Answer:

sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.

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