Is it possible to have the same output (y) for two different inputs (x) in any solution set? For example: (2,9), (6,9). How do you know? Write your answer and explanation on the back on this paper.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Yes it is possible to get the same output by providing two different inputs in a solution.

For example :

Let a function, [tex]$y = x^2 $[/tex]  ......(1)

Case 1

let x = -2, putting the value of x in equation (1), we get

[tex]$y = x^2 $[/tex]

[tex]$y = (-2)^2 $[/tex]

   = 4

Case 2

let x = 2, putting the value of x in equation (1), we get

[tex]$y = x^2 $[/tex]

[tex]$y = 2^2 $[/tex]

  = 4

Therefore, for both the different input (x), we get the same output (y).


Related Questions

need help please help​

Answers

Answer:

  9 minutes

Step-by-step explanation:

The water volume in pool 1 starts at 50 gallons and increases at 2.3 gallons per minute. An expression for that volume could be ...

  v = 50 +2.3t

The water volume in pool 2 starts at 102.2 gallons and decreases at 3.5 gallons per minute. An expression for that volume could be ...

  v = 102.2 -3.5t

The volumes will be equal when ...

  50 +2.3t = 102.2 -3.5t

  5.8t = 52.2 . . . . . . . . . . . subtract 50-3.5t from both sides

  t = 52.2/5.8 = 9 . . . . . . . divide by the coefficient of t

After 9 minutes, the pools will contain the same amount of water.

_____

The equation 5.8t = 52.2 tells you the 52.2 gallon difference in volumes is being reduced at the rate of 5.8 gallons per minute. You don't really need the 'v' equations to figure that out.

A tree that grows 3 feet every 5 years is growing at a rate of ___ feet per year.'

Answers

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

Objective: You need to find the number of feet the tree grows every year (the unit rate).

[tex]\bf Steps:[/tex]

FIrst, we look at what we have now. The tree grows 3 feet every 5 years, so we have to divide 3 by 5 to get the number of feet the tree grows in one year.

[tex]\bf 3~feet~divided~by~5~years~=~Our~final~answer\\\frac{3}{5}=\frac{6}{10}~(multiplied~3~and~5~by~2)\\ \frac{6}{10} =0.6~feet[/tex]

[tex]\large\boxed {\bf Our~final~answer: ~0.6~feet~per~year}[/tex]

[tex]The~tree~grows~at~a~rate~of~0.6~feet~per~year.[/tex]

El cubo de la diferencia entre dos números cualquiera

Answers

Answer:

El cubo de la diferencia de dos cantidades es igual a la primera cantidad elevada al cubo menos tres veces la primera cantidad elevada al cuadrado por la segunda cantidad más tres veces la primera cantidad por la segundad cantidad al cuadrado menos la segunda cantidad al cubo.

Step-by-step explanation:

Answer:

lo siento, no puedo ayudarte

Step-by-step explanation:

Point K is on line segment JL. Given JK = 5x + 7, JL = 2x+8, and KL = 4,

determine the numerical length of JL.

Answers

Answer:

The numerical length of JL is 6 units

Step-by-step explanation:

Here, we want to determine the numerical length of JL

Mathematically;

JL = JK + KL

2x + 8 = 5x + 7 + 4

2x + 8 = 5x + 11

5x -2x = 8-11

3x = -3

x = -1

But JL = 2x + 8

JL = 2(-1) + 8 = -2 + 8 = 6

write in standard form x2 + y = 2x -4​

Answers

Answer:

y = - x² + 2x - 4

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

x² + y = 2x - 4 ( subtract x² from both sides )

y = - x² + 2x - 4 ← in standard form

The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.

Answers

Answer: Length = 28 feet and width = 9 feet

Step-by-step explanation:

Let x = width of the wall.

Then, Length of the wall =  10+2x

Since , Area of rectangle = length x width

Then, as per given,

[tex]252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9[/tex]

Since width cannot be negative , so x = 9

So width = 9 feet and length = 10+2(9)=10+18 = 28 feet

Hence, length is 28 feet and width is 9 feet of the wall of the barn.

Karen sells tickets at a movie theater. Last night she sold 128 tickets for a total of $1108. Adult's tickets cost $10 and children's tickets cost $6. How many of each kind of ticket did Karen sell?

Answers

Answer:

Adult's tickets 85

children's tickets 43

Step-by-step explanation:

x + y = 128

10x + 6y = 1108

x = 128 - y

10(128 - y) + 6y = 1108

1280 - 10y + 6y = 1108

1280 - 4y = 1108

-4y = 1108 - 1280

-4y = -172

y = -172/-4

y = 43

x = 128 - y

x = 128 - 43

x = 85

Which property should be used next in this solution process? 3x+2+3=7(x-1)-4. 3x+5=7(x-1)-4

Answers

Distributive property

Rewrite as a simplified fraction.
3.2 = ? 2 is repeating

Answers

Answer:

3

.

¯

2

=

29

9

Explanation:

Using the notation of a bar over a set of digits to denote their infinite repetition,

let  

x

=

3

.

¯

2

10

x

=

32

.

¯

2

10

x

x

=

32

.

¯

2

3

.

¯

2

=

29

9

x

=

29

x

=

29

9

This technique works in general. Set  

x

as your desired value, multiply by  

10

n

where  

n

is the number of digits repeating, and then subtract  

x

to eliminate the infinitely repeating portion. It then is just a matter of dividing by  

10

n

1

a

Step-by-step explanation:

x=536/165

you should know what to do since your in this part of the unit

At Becky's Restaurant, 10 out of 25 customers order wheat rolls. The rest of the customers order cornbread. Which does NOT represent the part of the customers who order wheat rolls

Answers

Answer:

C. 25 ÷ 10

Step-by-step explanation:

A. 10/25

B. 2/5

C. 25 ÷ 10

D. 0.4

Total customers at Becky's restaurant = 25

Customers who order wheat rolls = 10

It means 10 out of 25 customers order wheat rolls

That is

10 / 25

Dividing both numerator and denominator by 5

= 2 / 5

2/5 in decimal

= 0.4

The option Which does NOT represent the part of the customers who order wheat rolls

is 25/10

Option C. 25 ÷ 10

What is the slope of a line that passes through 41-50

Answers

Answer:

-15/7

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1 so replace the variables with -8-7/3-(-4) and solve which gets you -15/7

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number plus 2

Answers

Answer:

X+2

Step-by-step explanation:

A number is x plus 2

X+2

The figure shown has two parallel lines cut by a transversal: A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left. Use the figure to complete the sentence. (4 points) ∠7 and ____ are alternate exterior angles. a ∠2 b ∠1 c ∠5 d ∠8

Answers

There are several relationships between angles within a transversal of parallel lines.

The complete statement is (b) ∠7 and ∠1 are alternate exterior angles

From the figure (see attachment), we have the following highlights

Angles 1 and 7 are both exterior anglesAngles 1 and 7 are both alternate angles

The above highlights mean that:

Angles 7 and 1 are alternate interior angles

Hence, the text that completes the blank is (b) ∠1

Read more about alternate interior angles at:

https://brainly.com/question/15685431

Answer:

b ∠1

Step-by-step explanation:

4(-32x+5)-(-33x-26)=

Answers

Answer:

-95x+46

Step-by-step explanation:

4(-32x+5)-(-33x-26)=

-128x+20-(-33x-26)=

-128x+20+33x+26

-95x+46

Answer:

-95x-46

Step-by-step explanation:

4(-32x+5)-(-33x-26)=

-128x+20-(-33x-26)=

-128x+20+33x+26

-95x+46

Antony borrowed 20,000,000 for 7 years his interest rate is 5% how much interest will he pay in all

Answers

Answer:

7,000,000

Step-by-step explanation:

[tex]Principal = 20,000,000\\Time =7\:years\\Rate = 5\%\\Simple\:interest =?\\\\Simple\:interest = \frac{Principal\times Rate\times Time}{100} \\\\S.I= \frac{20000000\times 5 \times 7}{100} \\\\S.I==\frac{700000000}{100}\\\\Simple\: interest=7000000[/tex]

The solution is, he will pay 7000000 interest in all.

What is interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Here, we have,

formula: I = Prt.

here, we have,

given that,

Antony borrowed 20,000,000 for 7 years his interest rate is 5%

i.e. we get,

P= 20,000,000

t = 7

r= 5%

and, we have to find I

so, we have,

I = P r t

 =20,000,000*5*7/100

 =7000000

Hence, he will pay 7000000 interest in all.

To learn more on interest click:

brainly.com/question/29335425

#SPJ3

Add.
(2x2 - 2x) + (6x – 4)

Answers

2x^2 + 4x - 4

..........................

Answer:

x = {-2, -1}

Step-by-step explanation:

Combine like terms: 0 + -2 = -2

x = -2

Simplifying

x = -2

Combine like terms: 0 + -1 = -1

x = -1

Simplifying

x = -1

Find the LCM of 30, 45, 60 and 90.​

Answers

Answer:180

Step-by-step explanation:

The length of a rectangle is 16m greater than the width. If the perimeter of a rectangle is 256m, what is the width of the rectangle?

Answers

Answer:

L=16+W

2W+2(16+W)=256

2W+32+2W=256

4W=224

W=56

a necklace priced at $580 is sold for $464. find the percentage discount

Answers

$580 = 100%

$1 = 100% ÷ 580

$464 = (100% ÷ 580) × 464

= 80%

Therefore,

percentage discount = 100% - 80%

= 20%

i hope my solution helps :))

Simplify 7 -(-4) + 3(-6).
0-7
07
-9
9

Answers

it’s -7
7-(-4) is 7+4, which is 11
3 times -6 is -18
11 + -18 is -7
Answer: -7

7-(-4)=7+4=11
3(-6)= -18
11+(-18)= -7


PLEASE HELP ME! I have de done this 10+ times

Determine intersections and unions of sets using interval notation

Given the sets A and B in interval notation,
A = (-∞, 2) U (2, + ∞) and
B= (-∞, - 1) U (-1, + ∞)

find A n B =

Answers

Answer:

Shown in the picture

Translate sentence into an equation. Then ſind each number.
1. Seven more than three times a number is 16.
How to translate it

Answers

Answer:

This is the equation

Step-by-step explanation:

7 + 3x = 16

Please mark as brainliest.

i need a little help with this equation 15-5+5^2

Answers

Answer:

35

Step-by-step explanation:

15-5+(5^2)

10+25

35

True or False? Whole Numbers (W) are a subset of Integers (Z)
O True
False

Answers

Answer:

true

Step-by-step explanation:

bc the integer equals to the subset

Please help! (Will give brainliest answer and hearts) Thank you and have a nice day!

Answers

Point W since the X is 2 and the Y is 5.5

Answer:

W

Step-by-step explanation:

so you go to the right 2 times then you go down 5 and a half times (where the negative numbers are) and then you get the answer here is a picture so you can understand a little better, I hope this helps you :)

i need an answer and explaination​

Answers

The answer for the question is 97
The answer is 96 because angel m

Simplify the expression: 1–7v+7v+9–2

Answers

Answer: 8

Step-by-step explanation:

Need help i don't understand

Answers

The second one brother

jacob weights 36.4 pounds and alice. weights 42.275 pounds. how much do they weigh together

Answers

Answer:

78.675 pounds

Step-by-step explanation:

36.4 + 42.275 = 78.675 pounds

Answer:

it is 78.675 just round it to the nearest something which would be 78.68

Step-by-step explanation:

just add and round

How can you approximate the value of VI 30 ?

Answers

Answer:

VI is 6

Step-by-step explanation:

Answer:

VI is 6

Step-by-step explanation:

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