Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.

Answers

Answer 1

Answer:

For a single value of x function has more than one corresponding value of y which satisfies the equation.

Step-by-step explanation:

Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.

It means for an equation to represent a function any single value of  x there should be only one corresponding value of  y which satisfies the equation.

Now consider the given equation.

[tex]x^2 + y^2 = 8[/tex]

If we put x=0 then we get two value of y i.e [tex]\sqrt8[/tex] and [tex]-\sqrt8[/tex] which satisfy the equation  and therefore the equation is not a function.


Related Questions

If 5% more than a is b, and b is 15% less than, what is the ratio of a to c? Please answer quickly.

Answers

You didn’t show the full question/picture

A farm has 56 horses and sheep in all. There are 8 fewer sheep than horses. How many horses are there on the farm?

Answers

Answer:

32 Horses

Step-by-step explanation:

32-8=24

There are 32 horses and 24 sheep (As you can see there are 8 fewer sheep than horses)

I sort of guess and checked:

I tried to think of 2 numbers that added to 56 but one number was 8 less than the other one.I figured out that 32 and 24 fit this description :)

A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. Give a 98% confidence interval for the proportion of all student loan borrowers who have loans of $20,000 or more for their undergraduate education. (Give answers accurate to 3 decimal places.)

Answers

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

= 2.326

Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

= 0.343 ± 2.326 × √0.225351/1282

= 0.343 ± 2.326 × √0.00017578081

= 0.343 ± 2.326 × 0.01325823555

= 0.343 ± 0.03083865589

0.343 - 0.03083865589

= 0.31216134411

Approximately = 0.312

0.343 + 0.03083865589

= 0.37383865589

Approximately to = 0.374

Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)

Susie walk 10 miles each week. she has already walked 3 miles this week and expects to walk 100 miles how long will it take her to walk 100 miles

Answers

Answer:

10 weeks

Step-by-step explanation: 100÷10=10

big brain

Answer:

9 week and 4 days

Step-by-step explanation:

Which of the following equations is equivalent to 30 = 2 ( -2x + 6

Answers

Answer:

30=-4x+12

Step-by-step explanation:

they both equal -9/2

Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog food costs $7, and the dog collar cost $5

Answers

Answer:

2bags= $14 + $5

3bags= $21+ $5

4bags= $28 + $5

5bags= $35 + $5

6bags= $42 + $5

multiply # of bags by 7

and add $5

Help me plzzzzz
It’s late cuz I’m dum
8th grade math...

Answers

The answer is B

Hope this helps! i just learned this today lol

PLEASE HELP QUICK WILL GIVE BRAINLIEST

Answers

Answer:

2 x intercepts

Step-by-step explanation:

math go brrr

Answer: the asnwer is three

Step-by-step explanation: well theres your answer

Container A and container B have leaks. Container A has 800ml of water, and is leaking 6 ml per minute. Container B has1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

Answers

Answer:

50 minutes

Step-by-step explanation:

First set up an inequality to find you answer like

800 - 6x = 1000 - 10x

then subtract 800 from both sides leaving you with

-6x = 200 - 10 x

Then add 10 x to both sides giving you

4x = 200

The simplify from here by dividing 200 by 4

200/4 = 50 giving you your answer

If x= 12 and y=3, what is the value of x-y²?​

Answers

Answer:

3

Step-by-step explanation:

X=12 Y=3^2

Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3

Answer:

I believe the answer would be 3.

Step-by-step explanation:

I hope this helps

magazine subscription cost $29.88 for 12 issues or $15.28 for six issues which subscription cost more per issue

Answers

Answer:

$15.28 for 6 issues cost more

Step-by-step explanation:

$29.88 divided by 12 is $2.49

$15.28 divided by6 is $2.546

Anna is in a cave 42 feet below the cave entrance. She descends 10 feet, then ascends 15 feet. Find her new position relative to the cave entrance.

Answers

Answer:

Her new position is 37 feet below the cave entrance

Step-by-step explanation:

Let us solve the question

∵ The cave entrance is the zero position

∵ Anna is in 42 feet below the cave entrance

→ Below zero means negative

Anna is in -42 feet

∵ She descends 10 feet

Descend means negative

She is in -42 + -10 = -52 feet

∵ She ascends 15 feet

Ascend means positive

She is in -52 + 15 = -37 feet

→ -37 means she is in below the cave entrance by 37 feet

Her new position is 37 feet below the cave entrance

The graph below shows the elevation of three submarines during their first four minutes depending into the water which statement is true?

Answers

Answer:

ANSWER IS A I THINK

Step-by-step explanation:

Choose all pairs of points that are reflections of each other across both axes.
A. (–4 1/2, 1) and (–1, 4 1/2)
B. (2.5, –1) and (–2 1/2, 1)
C. (4.2, –1) and (2.4, –1)
D. (1, –2.25) and (–1, 2 1/4)
E. (–2, 2 1/3) and (2, 2 1/3)

Answers

Answer:

c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

PLEASE QUICK BRAINLISET

Answers

Answer: the answer is f

Answer:

F

Step-by-step explanation:

the measure of angle one must be equal to the measure of angle five and when doing the math I got x=34 plug that into the equation for angle five i got 48 and the same for plugging it into the equation for angle one.

PLS HELP ME !! ILL MARK BRAINLIST

Answers

Its C there are five times as many cows as goats
It’s c there are five times as many cow as goats

7th grade math help me plzzzz

Answers

Answer:

b, c, f are coorrect inequalities

Step-by-step explanation:

hope i helped :D

The components of a vector are Ax = –10 units and Ay = 8 units. What angle does this vector make with the positive x axis? g

Answers

Answer:

This vector make an angle of 141° with the positive x axis

Step-by-step explanation:

Refer the attached figure

Components of vector :

[tex]A_x=-10 \\A_y = 8[/tex]

We are supposed to find  What angle does this vector make with the positive x axis

[tex]tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}[/tex]

Now ,

[tex]\alpha = 180-38.65=141.35^{\circ}[/tex]

So, this vector make an angle of 141° with the positive x axis

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The distribution of pH levels for all community swimming pools in a large county is approximately normal with mean 7.5 and standard deviation 0.2. According to swimming pool studies, the safest pH levels for water in swimming pools are between 7.2 and 7.8. (a) One community swimming pool in the county will be selected at random. What is the probability that the selected pool has a pH level that is not considered safe

Answers

Answer:

The  value is  [tex]P(A) =  0.133617[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu =  7.5[/tex]

  The standard deviation is  [tex]\sigma  =  0.2[/tex]

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       [tex]P(A) =  1 - P(7.2 \le X  \le 7.8 )[/tex]

Here  

      [tex]P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma } <\frac{ 7.8 - \mu }{\sigma }   )[/tex]

Generally [tex]\frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )[/tex]

So

 [tex]P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z <\frac{ 7.8 - 7.5 }{0.2 }   )[/tex]    

 [tex]P(7.2 < X  < 7.8 ) = P(-1.5 < Z <1.5)[/tex]  

=>  [tex]P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5) [/tex]

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    [tex]P(Z <  1.5) =  0.93319[/tex]

and  

    [tex]P(Z <  -1.5) =  0.066807[/tex]

So

      [tex]P(7.2 < X  < 7.8 ) =0.93319 - 0.066807 [/tex]

       [tex]P(7.2 < X  < 7.8 ) =0.0866383[/tex]

So

   [tex]P(A) =  1 - 0.0866383[/tex]

=>  [tex]P(A) =  0.133617[/tex]

The probability that the selected pool has a pH level that is not considered safe pool is 0.1336

The given parameters are:

[tex]\mathbf{\mu = 7.5}[/tex]

[tex]\mathbf{\sigma = 0.2}[/tex]

Start by calculating the probability that a pool is safe.

This is represented as: P(7.2 < x < 7.8)

Calculate the z-scores for x =7.2 and 7.8 using:

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

So, we have:

[tex]\mathbf{z = \frac{7.2 - 7.5}{0.2} = -1.5}[/tex]

[tex]\mathbf{z = \frac{7.8 - 7.5}{0.2} = 1.5}[/tex]

So, we have:

[tex]\mathbf{P(7.2 < x < 7.8) = P(-1.5 < z < 1.5)}[/tex]

This gives

[tex]\mathbf{P(7.2 < x < 7.8) = P(z < 1.5) - P(z < -1.5)}[/tex]

Using z table of probabilities, we have:

[tex]\mathbf{P(7.2 < x < 7.8) =0.9332 - 0.0668}[/tex]

[tex]\mathbf{P(7.2 < x < 7.8) =0.8664}[/tex]

The probability that the pool is not safe is calculated using the following complement formula

[tex]\mathbf{P(Not\ Safe) = 1 - P(Safe)}[/tex]

So, we have:

[tex]\mathbf{P(Not\ Safe) = 1 -0.8664}[/tex]

[tex]\mathbf{P(Not\ Safe) = 0.1336}[/tex]

Hence, the probability that the pool is not safe is 0.1336

Read more about probabilities at:

https://brainly.com/question/11234923

In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned, x, according to the equation L(x) = 20 – 0.4x

Answers

Here is the complete question

1. State coordinates of x axis

2. State coordinates of y axis

3. State the slope

4. Graph the function

5. Is learning rate increasing or decreasing?

Answer:

1. (50,0)

2. (0,20)

3. Slope = -0.4

4. Check attachment for graph

5. Learning rate is decreasing

Step-by-step explanation:

1.

L(x) = 20-0.4x

20 = 0.4x

x = 20/0.4

x = 50

(50,0)

2

For y coordinate;

L(0) = 20-0.4(0)

= 20

(0,20)

3.

Slope,

Y = -0.4x+20

We compare with

Y = mx+c

m = -0.4

Intercept c = 20

4. Check attachment

5. The slope is negative at m = -0.4 therefore the rate of learning is on a decline. As number of words learnt increases, learning rate falls.

Answer:

Step-by-step explanation:

Edward solved the equation 4X + 1 = 5x +(-5)
Add 4 negative both sides
Add 5 negative to both side
=4
What’s was mistake

Answers

Answer:

He should have added 5 to each side instead of -5

Step-by-step explanation:

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

Subtract 4x from each side

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

Combine like terms

1 = x-5

Add 5 to each side  

He should add 5 to each side ( we need to add the opposite of (-5)) to undo the adding  of (-5)

1+5 = x-5+5

6 =x

For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds. Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand. I need the coordinates for the graph please.

Answers

Answer:

First, let's write our equation in a general way.

We know that:

1 cubic foot weighs 80 pounds.

The container weighs 40 pounds.

Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.

We can write this as:

w(n) = 40lb + n*80lb

This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.

You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.

Answer

ok, Just plot the points at (0,40) and (2,200) :))

what is eighteen and three fourths divided by two and a half?​

Answers

Answer:

the answer is 7.5

Wade picked 4 pints of blackberries. His friend, Matt, picked 6 pints. How
many pints did they pick altogether?

Answers

Together they picked 10 pints of blackberries.
10 pints in all , 4+6=10


LUCILLES PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR.
HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist

Answers

Answer:

18

Step-by-step explanation:

You would divide 48 by 8 and multiply it by 3. Otherwise, you could do

3/8 = x/48

x * 8 = 3 * 48

x * 8 = 144

 /8        /8

x = 18

.60 is what percent of 180? ​

Answers

Answer:

1.08

Step-by-step explanation:

.60% *180=108

108/100=1.08%

Answer:

108

Step-by-step explanation:

It too Mrs. phillips 1.6 hours to run the 13.2 miles. What was his average speed

Answers

Answer:

13.2 miles/ 1.6 hours= 8.25 miles/hour.Mr. Phillips's speed was 8.25

Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?

Answers

Answer:

The percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.

Step-by-step explanation:

Let X represent the LDL levels.

It is provided that [tex]X\sim N(123, 41^{2})[/tex].

Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:

[tex]P(X\geq \mu+\sigma)=P(X\geq 123+41)[/tex]

                      [tex]=P(X\geq 164)\\\\=P(\frac{X-\mu}{\sigma}\geq \frac{164-123}{41})\\\\=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]

Thus, the percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.

Simplify 2x^3 х 3x^2 ​

Answers

Answer:

ans = 6x4

Step-by-step explanation:

(2x2)(3x2)

first multiply the coefficients

(2*3) = 6

next multiply the variables

(x2*x2) = x2+2 = x4

productofcoeficients,productofvariables

= 6x4

Before adding the following fractions, you need to find the common ? 2/3 + 1/6 =

Answers

Answer:

denominator

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

2/3×2/2 + 1/6

4/6 + 1/6

5/6

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