Is the following relation a function? *
{(-3, 2), (1, 8), (-1, 5), (3, 11)}
Yes
No
Why or why not?

Answers

Answer 1

Answer:

No.

Step-by-step explanation:

Well at first glance it might seem so but there are two points particularly that can tell you that these points cannot be within a function.

The points (3,2) and (3,-2) will yield an undefined slope (a straight vertical line). There is no possibility that the other points can be in this line (as their y - values are different) and there is no possibilty that this is a function at all according to the vertical line test (the test is that if you draw a vertical line that there shouldn't be more than one point on it).


Related Questions

Will give BRAINLIEST

Answers

Answer:

It’s 330

Step-by-step explanation:

Just multiply 440 by 0.75 and you would get 330. Have a nice day!

It’s 330 I think hopefully it works


What is total area of the shaded sections

Answers

Answer:

Step-by-step explanation:

The shaded region is triangle.

Base = 1.1 in

Height = 3.8 in

Area of triangle = [tex]\frac{1}{2}*base * height[/tex]

                          [tex]=\frac{1}{2}*1.1*3.8\\\\= 1.1 * 1.9\\\\= 2.09 in^{2}[/tex]

Area of shaded region = 2 * 2.09 = 4.18 square inches

Which of the equations below could be the equation of this parabola?

Answers

Answer:

The correct answer is C

Your welcome:)

The equation below could be the equation of this parabola is y = -5x².

Option A is the correct answer.

What is a parabola?

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

Since the parabola vertex is at (0,0) and is open to the left, the equation of the parabola must be of the form:

y = a x², where a is a positive constant.

Now,

The only equation that fits this form is y = -5x².

Thus,

The equation below could be the equation of this parabola is y = -5x².

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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 431 grams with a variance of 144. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled

Answers

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 434[/tex]

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

[tex]H_{a}: \mu < 434[/tex]

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that [tex]\mu = 434[/tex]

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that [tex]X = 431, n = 9, \sigma = \sqrt{144} = 12[/tex]

Value of the test-statistic:

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

[tex]z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}[/tex]

[tex]z = -0.75[/tex]

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

Pls helppp i have a timer!!
(10 points)

Answers

Answer:

they are both corresponding angles (equal)

48=4x

48/4=x

12=x

Answer:

x = 12

Step-by-step explanation:

4x and 48 are corresponding angles and are congruent, then

4x = 48 ( divide both sides by 4 )

x = 12

1. If y varies inversely as x and y = 2 when x = 10, find y when x = 5.
2. If y varies directly as z and inversely as x and y = 10 and z = 5 when x = 12.5, find z when y = 37.5 and x = 2.

Answers

Answer:

1.45

Step-by-step explanation:

I don't really know if this is right

Solve for c........:

Answers

Mark my answer brilliant if it helps you.

. Find the cost of lodging: Four people staying for three nights at a cabin priced at $36.00 per night for two people, plus $3.50 per additional person

Answers

The cost of lodging is $129

please please please help me i will give you brainliest

Answers

Answer:

∠QPT=122°

Step-by-step explanation:

Angles along a straight line add up to 180. Therefore:

∠PRQ+∠PRS=180

∠PRQ+118=180

∠PRQ=180-118

∠PRQ=62°

All angles in a triangle add to 180. Therefore:

∠PQR+∠QPR+∠PRQ=180

60+∠QPR+62=180

∠QPR+122=180

∠QPR=58°

Angles along a straight line add to 180. Therefore:

∠QPT+∠QPR=180

∠QPT+58=180

∠QPT=122°

for each of the following find the missing sides

Answers

Answer:

the missing side is 90 because is a right triangle

AHHH HELP ILL GIVE BRAINLIEST!!!

Answers

Answer:

B

Step-by-step explanation:

B) $37.50 for 3 hours

A bag contains colored tiles.

• 3 tiles are red

• 6 tiles are green

• 3 tiles are blue

A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?

Answers

Answer:

0.5

Step-by-step explanation:

add up the amount of tiles

6+3+3=12

then subtract the green tiles from the total amount

12-6=6

then divide 12/6

=0.5

Answer:

0.5

Step-by-step explanation:

The radius of a sector is 1 m
a. Find the area of a 1° sector of the circle.
b. What is the area of the circle containing the sector?
c. If 360 of the 1° sectors of the circle are placed side by side to approximate a parallelogram, what is the approximate area of the parallelogram?
d. What is the difference of the areas in parts (b) and (c) as a percentage of the entire circle?

Answers

I’m pretty sure it’s d but I’m not sure

WILL GIVE BRAINLIEST IF YOU HELP ME

Answers

the answer is D. point S

Answer:

D. Point S

Step-by-step explanation

The opposite of -5.5 is 5.5, therefore since Point S is at 5.5 on the number line, the answer is D.

how do you write 16% as a decimal​

Answers

Answer:

0.16

Step-by-step explanation:

rewrite 16 percent in the terms of per 100 or over 100.

16% = 16 over 100 or,

16% = 16/100

16 over 100 is the same as 16 divided by 100. So completeing the division we get:

16 ÷ 100 = 0.16

Thus, the answer is 0.16

hope this helps you :)

help me quick please! i need it. hope you have a good night!

Answers

Answer:

cot θ = [tex]\frac{7\sqrt{51} }{51}[/tex]

sin θ = [tex]\frac{\sqrt{51} }{10}[/tex]

csc θ = [tex]\frac{10\sqrt{51} }{51}[/tex]

Step-by-step explanation:

First find the opposite side of angle θ by using the Pythagorean Theorem:

10² - 7² = (opposite side)²

100 - 49 = 51 => opposite side = √51

Use SohCahToa to find the values:

cot θ = adjacent/opposite = 7/√51 = [tex]\frac{7\sqrt{51} }{51}[/tex] (rationalize)

sin θ = opposite/hypotenuse = [tex]\frac{\sqrt{51} }{10}[/tex]

csc θ = hypotenuse/opposite = 10/√51 = [tex]\frac{10\sqrt{51} }{51}[/tex] (rationalize)

Hope this helps!


A garden table and a bench cost $996 combined. The garden table costs $46 more than the bench. What is the cost of the bench?

Answers

Answer:

The cost of the bench is $475

Step-by-step explanation:

Let cost of garden table= x and cost of bench= y

x + y = 996 (eqn 1)

x - y = 46 (eqn 2)

eqn 1 + eqn 2

2x = 1042

2x/2 = 1042/2

x = 521

The cost of the garden table is $521.

Substitute x = 521 into eqn 1

x + y = 996

521 + y = 996

y = 996 - 521

y = 475

The cost of the bench is $475.

Which of the following scatterplots would have a trend line with a positive slope?

Answers

Answer:a

Step-by-step explanation:

Porfavor ayúdenme...

Answers

Answer:

oui,12 Crais Una vez Al mes

Given a center of (3,-5) and a radius of 4, write an equation for the circle.

Answers

Answer:

(x-3)²+(y+5)²=16

Step-by-step explanation:

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

The equation above is an equation of circle with a centre at (h,k) and has radius = r

Substitute h = 3, k = -5 and r = 4 in the equation.

[tex] \large{ {(x - 3)}^{2} + {(y - ( - 5))}^{2} = {4}^{2} } \\ \large{ {(x - 3)}^{2} + {(y + 5)}^{2} = 16}[/tex]

-9b+2n-4+2b

Solve please

Answers

Answer:

-9b+2n-4+2b

-7b+2n-4 is your answer

-7+2n-4 is your answer

The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school?

Answers

Answer:

7040 yards

Step-by-step explanation:

1 mile = 1760 yards

1 x 4 miles = 1760 x 4 yards

4 miles = 7040 yards

The answer is 7040 yards

One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known facts about the population. About 12% of American adults identify themselves as black. Suppose we take an SRS of 1500 American adults and let X be the number of blacks in the sample. Use a Normal distribution to estimate the probability that the sample will contain between 165 and 195 blacks.

Answers

Solution :

Given :

p = 12% = 0.12

n = 15..

Mean is defined as the product of a sample size n and the probability p such that :

[tex]$\mu_X = np = 1500 \times 0.12$[/tex]

             = 180

Standard deviation may be defined as the square of a product of the sample size n, the probability p and the probability 1-p :

[tex]$\sigma_X = \sqrt{np(1-p)}$[/tex]

[tex]$\sigma_X = \sqrt{1500 \times 0.12 \times (1-0.12)}$[/tex]

     ≈  12.5857

The z-score is given by :

[tex]$z=\frac {x- \mu}{\sigma } $[/tex]

[tex]$z=\frac {165-180} {12.5857 }$[/tex]

 ≈  -1.19  

[tex]$z=\frac {x- \mu}{\sigma } $[/tex]

[tex]$z=\frac{195-180} {12.5857 }$[/tex]

 ≈  1.19  

Now determining the corresponding probability using table  :

P (165 ≤ X ≤ 195 ) = P (-1.19 ≤ Z ≤ 1.19 )

                            = 1-2 x P(Z < -1.19)

                            = 1-2 x 0.1170

                            = 1-0.2340

                            = 0.7660

                             = 76.60%

"76.06%" would be the probability that the sample will contain between 165 as well as 195 blacks.

Given values,

p = 12%

           = 0.12

n = 1500

The mean will be

→ [tex]\mu x = np[/tex]

By putting the values,

       [tex]= 1500\times 0.12[/tex]

       [tex]= 180[/tex]

The standard deviation will be:

→ [tex]\sigma x = \sqrt{np(1-p)}[/tex]

       [tex]= \sqrt{1500\times 0.12\times (1-0.12)}[/tex]

       [tex]= 12.5857[/tex]

The z-score will be:

→ [tex]z = \frac{x- \mu}{\sigma}[/tex]

     [tex]= \frac{165-180}{12.5857}[/tex]

     [tex]= -1.19[/tex]

and,

→ [tex]z = \frac{195-180}{12.5857}[/tex]

     [tex]= 1.19[/tex]

hence,

The probability will be:

→ [tex]P(165 \leq X \leq 195) = P(-1.19 \leq Z \leq 1.19)[/tex]

                                [tex]= 1-2\times P(Z < -1.19)[/tex]

                                [tex]= 1-2\times 0.1170[/tex]

                                [tex]= 1-0.2340[/tex]

                                [tex]= 0.7660[/tex]

                                [tex]= 76.60[/tex] (%)

Thus the answer above is right.  

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A researcher calculated sample proportions from two independent random samples. Assuming all conditions for inference are met, which of the following is the best method for the researcher to use to estimate the true difference between the population proportions?

Answers

Answer:

A) Construct a two-sample  z -interval for the difference between population proportions.

What is the simplified value of the expression below?

StartFraction 7 times 8 + 20 (4.5) over 16 times 0.5 EndFraction
18.25
21.38
110.25
119.50

Answers

Answer:

C: 110.25

Step-by-step explanation:

The simplification form of the provided expression is 18.25 option (A) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

[tex]= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}[/tex]

= (56 + 90)/8

= 146/8

= 18.25

Thus, the simplification form of the provided expression is 18.25 option (A) is correct.

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The graph represents the gallons of water (y) per minute (x) dispensed by a shower head. Which statements are correct?

Answers

The relationship has been analysed using the property of straight line.The correct options are (C), (D) and (E) respectively.

How to represent a straight line on a graph?

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given options are examined one by one as follows,

(a) The point (0, 0) on the graph represents the zero number of gallons dispensed at the beginning.

(b) The point (5, 1) does not lie on the graph.

(c)  The point (1, 5) represents 5 gallons dispensed during 1 minute which is equivalent to the unit rate.

(d) The point (1.5, 7.5) lies on the graph which represents 7.5 gallons dispensed in 1.5 minutes.

(e) The point (0, 0) shows no gallons dispensed at t = 0.

Hence, the correct information inferred from the graph are the point (1, 5) represents the unit rate, 7.5 gallons for 1.5 minutes and the point (0, 0) represents zero minutes for zero gallons.

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Determine which of the following pairs of angles are complementary,
supplementary or neither.

Answers

Step-by-step explanation:

Supplementary angles add up to 180

Complementary angles add up to 90

you can check those angles by adding them up

121+59=180                 Supplementary

49+51=100                  Neither

25+65=90                  Complementary

Hope that helps :)

Step-by-step explanation:

121 and 59 are supplementary.49 and 51 neither.25 and 65 are complimantary.

HELP HELP HELP THIS IS DUE TODAY PLZZ HELP ME 1. Plot and label the temperatures on a number line. You can create it by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.

Answers

Answer:

What's the the temperatures?

Step-by-step explanation:

need help please.........

Answers

Answer:

Step-by-step explanation:

C

Answer:

A.

Step-by-step explanation:

k=am+3mx=m(a+3x)

⇒   [tex]m=\frac{k}{a+3x}[/tex]

15 POINTS
Consider the line in the coordinate plane that passes through the point (-7, -3) and the origin. Find the slope of a line perpendicular to the line described.
A) - 1, 3
B) - 3, 7
C) - 7, 3
D) 3, 7

Answers

Answer:

C. -7/3

Step-by-step explanation:

The slope of the line that passes through points (0, 0) and (-7, -3) is:

m = (y₂ - y₁)/(x₂ - x₁) m = (-3 - 0)/(-7 - 0) = 3/7

Perpendicular lines have opposite-reciprocal slopes:

-1 / (3/7) = - 7/3

Correct choice is C

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