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

Will give brainliest if correct what is the discriminant of the quadratic equation: (multiple choice)

Answers

Answer:
The discriminant is 60

Brandon is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $2 per mile driven. Company B charges an initial fee of $35 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Brandon drives xx miles, and let BB represent the amount Company B would charge if Brandon drives xx miles. Write an equation for each situation, in terms of x, and determine which company would be cheaper if Brandon needs to drive 45 miles with the rented truck.

Answers

Answer:

-Equations:

AA=75+2x

AA=75+2x

-Company A would be cheaper.

Step-by-step explanation:

-Company A: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:

AA=75+2x

AA=75+2(45)

AA=75+90

AA=165

-Company B: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:

BB=35+3x

BB=35+3(45)

BB=35+135

BB=170

According to this, if Brandon needs to drive 45 miles with the rented truck, Company A would charge $165 and Company B would charge $170 which means that Company A would be cheaper.

2.685
x 102
Expanded form

Answers

Answer:

2.685 + 2.685 + 2.685 + 2.685 + 2.685 + 2.685. . . . . 102 times.

Step-by-step explanation:

Think of this as 102 times of 2.685.

So you would add 2.685 together 102 times.

(I didn't want to type out 2.685 that many times)

Hope I helped :)

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Which travels faster: a car that travels 6 miles in 10 minutes at a constant speed, or a train that travels 6 miles in 8 minutes at a constant speed? Explain how
you

Answers

Answer: 29 :)

Step-by-step explanation:

Is this a function or not a function? (Picture)

Answers

Answer:

Not a Function

Step-by-step explanation:

A coin is biased such that a is times as likely to occur as a tail. Find the expected number of when this coin is tossed twice.

Answers

Complete question:

A coin is biased such that a head is three times as likely to occur as a tail. Find the expected number of tails when this coin is tossed twice.

Answer:

1/2

Step-by-step explanation:

Head is 3 times as likely to occur as tail;

Hence,

Sample space for 2 tosses :

{HH, HH, HH, HH, HH, HH, HH, HH, HH, HT, HT, HT, HT, HT, HT, TT}

Expected probability (E(x)) = Σx*p(x)

P(x) = required outcome / Total possible outcomes

x : __________ 0 ______ 1 _______ 2

p(x) : ________9/16_____6/16_____1/16

Σx*p(x) : 0(9/16) + 1(6/16) + 2(1/16)

= 0 + 6/16 + 2/16

= 0 + 3/8 + 1/8

= 4/8

= 1/2

evaluate. express your answer in simplest form. 7/9 - 2/8 x 4/9
A 20/9
B 5/9
C 2/3
D 48/72

Answers

Answer:

2/3

Step-by-step explanation:

[tex] \frac{7}{9} - \frac{2}{8} \times \frac{4}{9} \\after \: simlifying \\ \frac{7}{9} - \frac{1}{9} = \frac{6}{9} = \frac{2}{3} [/tex]

Help I’ll mark you as the brainliest
No answer choice
parallel to y = 5x – 7 but contains (-1,-3)

Answers

Answer:

-3 = -12

Step-by-step explanation:

Have a great day

I hope that is the answer you are looking for :)

Kerry takes up a delivery consignment. He delivers a few packages and one-fourth of
the packages remains in the truck. This excludes 5 packages that were returned. If
the truck contains 65 packages now, how many packages were there in Kerry's
original consignment?

Answers

Answer:

multiply 65 by 5 and divide by 1 fourth

Step-by-step explanation:

Solve for x: 4/9 x + 36 = 1/3

Answers

Answer:

x = -321/4

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Which complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i)

Answers

Answer: -4 - 32i                  

i just took this test

The complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.

The given expression is (2+i)(8-3i)-(23+34i).

What is a complex number?

A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.

Now, apply the distributive property and multiply each term of the first complex number with each term of the second complex number.

That is, (2+i)(8-3i)=8+8i-6i-3i²=8+2i+3 (∵i²=-1)

Now, 2i+11-23-34i=-32i-12

Therefore, the complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.

To learn more about the complex numbers visit:

https://brainly.com/question/28007020.

#SPJ2

PLEASE ANSWER IMMEDIATELY!!!

Answers

Answer:

C.

Step-by-step explanation:

Point lines A and B are pointed in the same each direction.

Point line straight C and G.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Answer:

B and C

Step-by-step explanation:

Both do not intersect AB and are not parralel to AB.

the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value ​

Answers

Answer:

a) 20 - 3^2 = 11

b) 5th, 20 - 5^2 = -5

Step-by-step explanation:

The answer assumes your terms begin at 1. If the terms begin at zero

a) 16

b) 6th term

if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers

Answer:

a)11

b)5th term

Step-by-step explanation:

List 5 significant advances in architecture Eastern Indians made

Answers

Answer:

Primarily, the Indian temple architecture has been classified into three broad types, namely; Nagara or the northern style, Vesara or mixed style, and the Dravida which is the southern style. All these styles carry their unique regional influences and lineages.

Step-by-step explanation:

A square is removed from the right hand corner

Answers

Answer:

C im pretty sure

Step-by-step explanation:

Because the square taken out has a 4x4 area which is 16 and the area of the whole square used to be 14x14 which is 196 and if u subtract 16 from that you get 180

what is 2848448 X 39494948​

Answers

Answer:

1.12499306E14

Step-by-step explanation:

i did the math

Simplify. Help:(
-7i•(-8i)

Answers

Answer:

I got - 56, I could be wrong though

Answer:

-56

Step-by-step explanation: multiply -7i (-8i)

Multiply -8 by -7 56ii

raise i to the power of 1

56(1 ii)

Use the power rule aman  m+n to combine exponents

56i  1+1

Add 1and 1   2

56i^2

rewrite i^2 as -1

56;-1

multiply 56 by -1

-56

What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
O A. The slope of the line is
(Type an integer or a simplified fraction.)
O B. The slope of the line is undefined.

Answers

[tex]\tt Step-by-step~explanation:[/tex]

Slope = rise/run

[tex]\tt Steps:[/tex]

Rise: The line travels 5 units vertically (up) from the first point to the second.

Run: The line goes 6 units horizontally (left) from the first point to the second.

Slope = rise/run; Slope = 5/6

[tex]\Large\boxed{\tt The~slope~of~the~line~is:~\frac{5}{6}~units }[/tex]

Answer:

Slope = rise/run

Step-by-step explanation:

Help with this one please

Answers

Answer:

(3x - 14) (2x - 7)

I hope this helps!

Plz answer fast! Thank you to whoever answers❤️

Answers

sunday she ran the fastest
Answer: Sunday that’s the answer I believe

Can someone help me answer these please?

Answers

G and c map to -3,-1

Answer: I think that the person above me is right so you should mark her/him brainliest.

|x |-8= -5
what's the answer​

Answers

Answer:

|x |-7 = -5     ( x = -3 )

Step-by-step explanation:

3 :::::::::::::::::::

the polynomial p(x) has factors of x-5 and x-8. Which must be correct ?

Answers

Answer:

Find an answer to your question The polynomial p(x) has factors of x – 5 and x + 8. Which MUST be correct?

Step-by-step explanation:

If x – a is indeed a factor of p(x), then the remainder after division by x – a will be ... the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor ... completed division: 2 2 5 0 7 ... x + 4 is a factor of 5x4 + 16x3 – 15x2 + 8x + 16.

4 x 12 = 6 x n.

4
6
8
12

Answers

Answer:

The answer is 8

Step-by-step explanation:

Because 4x12 is 48 and so is 6x8

Answer:

C. 8

Step-by-step explanation:

4 ⋅ 12 = 6n (6 ⋅ n is the same as 6n)

Multiply 4 ⋅ 12.

48 = 6n

Divide both sides by 6

n = 8

Hope I helped :)

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The sum 51 + (-37) is equal to what? -14 88 88 14

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the answer is 14 and it's postive

The correct Standard Form of the equation y=−2/7x−11/7:

Answers

Answer:

y=-(2)/(7)x-5

Step-by-step explanation:

What is the reciprocal of 4/12?​

Answers

Answer: 12/4 or 3

Step-by-step explanation: Switch the numerator and denominator. This should leave you with the answer above.

Answer:

12/4 = 3/1 = 3

Step-by-step explanation:

To find the reciprocal of a fraction, flip it.

The reciprocal of 4/12 is 12/4 which reduces to 3.

Please help me............

Answers

Answer:

85°

Step-by-step explanation:

180° - (67°+28°) =p

180°- 95° = p

P = 85°

over a two hours time period, a snail moved 108 inches . how far is this in yards?​

Answers

Answer:3 yards

Step-by-step explanation:

36 inches equals a yard so 36 Multiplied by 3 is 108 Therefore 3 yards

Help!!!!!!! solve the inequality

Answers

Answer:

25≥ w

i dont have the inquality sign

Step-by-step explanation:

multiply both sides by 5/4

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