Provide an example of a function that does not have an inverse function. How do you prove that it is not a function?

Answers

Answer 1

Answer:

f(x) = x^2 is a classic example

f( 3 ) = 9 and

f( -3 ) = 9, but

f^(-1)[9] is undefined because the result can be 3 and -3


Related Questions

Solve each equation.

1) | 2x - 4 | = 10

2) -5 | -4x + 4 | - 7 = -67

Show all work please :D

Answers

[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $67.46

Answers

$10.90 + $6.89+ n jajshehhe

Evaluate: 100−20.2×4.5.
i need this for imagen math

Answers

Answer:

359.1

Step-by-step explanation:

100 - 20.2 is 79.8

79.8 x 4.5 is 359.1

therefore it is 359.1

solve the following methods

Answers

don't know when you find out tell me

check the picture and youll know.

Answers

Answer:

24

Step-by-step explanation:

18/3/4. 18 divided by 3/4 is 18x4/3 which is 72/3=24

24 I think sorry i’m not really good at this

What is the equation for this parent graph?

Answers

it’s y= x^2. lol i need to write 20 worf

what's the points distance I need help!​

Answers

Answer:

Step-by-step explanation:

3.6

A fishbowl has a capacity of 192 fluid ounces. How many quarts is that?

Answers

Answer:

hope this helps

Step-by-step explanation:

192 fl oz. = 6 quarts

to get this you divide the fluid ounces by 32.

If x = 1 and y = 2 is a solution to the simultaneous equation ax + by = 2 and bx + a^(2)y = 10, find the possible values of a and b.

Answers

Answer:

a = - 2, [tex]\frac{9}{4}[/tex] , b = 2, - [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Since x = 1, y = 2 is a solution to the equations , then substitute these values into the 2 equations and solve for a and b

a + 2b = 2 → (1)

b + 2a² = 10 → (2)

In (1) subtract 2b from both sides

a = 2 - 2b → (3)

Substitute a = 2 - 2b into (2)

b + 2(2 - 2b)² = 10 ← expand parenthesis using FOIL

b + 2(4 - 8b + 4b²) = 10 ( simplify left side )

b + 8 - 16b + 8b² = 10 ( subtract 10 from both sides )

8b² - 15b - 2 = 0

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term

product = 8 × - 2 = - 16 and sum = - 15

The factors are - 16 and + 1

Use these factors to split the b- term

8b² - 16b + b - 2 = 0 ( factor first/second and third/fourth terms )

8b(b - 2) + 1(b - 2) = 0 ← factor out (b - 2) from each term

(b - 2)(8b + 1) = 0

Equate each factor to zero and solve for b

b - 2 = 0 ⇒ b = 2

8b + 1 = 0 ⇒ 8b = - 1 ⇒ b = - [tex]\frac{1}{8}[/tex]

Substitute these values into (3) and evaluate for a

b = 2 ⇒ a = 2 - 2(2) = 2 - 4 = - 2

b = - [tex]\frac{1}{8}[/tex] ⇒ a = 2 - 2(- [tex]\frac{1}{8}[/tex] ) = 2 + [tex]\frac{1}{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]

The possible values of a and b are 8, -3 or 9/4 , -1/8 respectively.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equations are,

ax + by = 2            (1)

and bx + a²y = 10        (2)

Also, x = 1 and y = 2 are the solution of the equation,

Substitute x = 1 and y = 2in equation (1),

a(1) + b(2) = 2

a + 2b = 2       (3)

Further substitute x = 1 and y = 2 in equation (2),

b(1) + a²(2)  = 10  

2a² + b = 10         (4)

By solving equation (3) and (4),

The possible values of a are 8 and 9/4.

And possible value of b are -3 and -1/8.

To know more about Equation on:

brainly.com/question/187506

#SPJ2

If f(x) = 9(x - 7)^2 – 8
Find f( – 4)

Answers

Answer:

1,081

[tex]f( - 4) = 9( - 4 - 7) {}^{2} - 8 \\ f( - 4) = 9( - 11 {)}^{2} - 8 \\ f( - 4) = 1081[/tex]

What is:
9e−7=7e−11
Show Work

Answers

Answer: -2

Step-by-step explanation:

9e-7=7e-11

-7e         -7e

2e-7=-11

   +7  +7

2e=-4

/2   /2

e=-2

A 3 to 1
B 6 to 2
C 7 to 2
D 9 to 3

Answers

Answer:

yo what is your question??????

Step-by-step explanation:

Maybe c 7 to 2

If Sue worked 28 hours this week and made $172 in tips, how much did her weekly pay
exceed what she would have made with minimum wage?

Answers

Do 178 times 28 which equals 4,984 then you do 4,984 decided by 7 which equals 712 because there are 7 days a week. So the answer is 712.

Answer: 28 hours over 172$ that mean 6.14 per hour

so 257.88$ minimum for 42 hours

Step-by-step explanation:

28 hours over 172$ that mean 6.14 per hour

so if we say she work in one day 6 hours that mean in one weak 42 hours

so 42*6.14=  257.88 $

Can i please have help with this question brainliest for corecct answer

Answers

answer is D

graduent should be m¹×m²=-1

and should be the inverse of the other

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.

Answers

Answer:

Step-by-step explanation:

( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = ( 2x - 2 , 2y )

43. Write a system of equations that is equivalent to each of the systems of equations below
2x + 3y = 4
12x+3y=1


X-7y=8
5x+4y=20

Answers

1.

The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

https://brainly.com/question/2972832

If 3 Superscript 2 x 1 Baseline = 3 Superscript x 5, what is the value of x? 2 3 4 6.

Answers

The value of x that will make the expression equal is 4. Option B is correct.

Given the indices expression;

[tex]3^{2x+1} = 3^{x+5}[/tex]

Since the base values are the same, they will cancel out to have:

[tex]2x + 1 = x + 5[/tex]

Collect the like terms:

[tex]2x - x = 5 - 1\\x = 4\\[/tex]

Hence the value of x that will make the expression equal is 4

Learn more on indices here: https://brainly.com/question/10339517

Answer:

the correct option is C which is 4

Step-by-step explanation:

jesus loves you!!!!!!!!!

Darren got 42 out of 56 correct on a test. What percent of the questions did he get correct?

Answers

Answer: Darren got 75% of the questions correct.

Step-by-step explanation:

To find the percentage of questions Darren got correct, we can divide the questions he got correct by the total number of questions.

42 ÷ 56 = 0.75

0.75 X 100 = 75

So, Darren got 75% of the questions correct.

Solve for x
3x+7=28

Answers

Answer:

X=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

3x + 7 = 28=> 3x = 28 - 7=> 3x = 21=> x = 7

Conclusion:

Therefore

x = 7.

Hoped this helped.

[tex]GeniusUser[/tex]

estimate 417 x 63 equals to

Answers

Answer:

24000

Step-by-step explanation:

400 can be rounded to 400 and 63 can be rounded to 60

400x60=24000

your exact product would be 26271

hope this helps

4d-6=-14+5d
NEED HELP ASAP

Answers

Answer:

Hewo There!!!

____________________

Isolate the variable by dividing each side by factors that don't contain the variable.

d = 8

____________________

“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”

― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Solve the system of equations -6x+5y=0 and −5x+5y=−5 by combining the equations.

Answers

Answer:

Step-by-step explanation:

-6x+5y=0 and −5x+5y=−5

Subtract the second from the first:

-6x+5y=0

5x-5y= 5

-x = 5

x = -5

help please brainliest and 30 pts

Answers

D the development of controversy about the Three Gorges Dam

Answer:  B though im not sure

Step-by-step explanation:

Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market

Answers

The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account

Checking accounts:

Are the least interest bearing accounts Allow for frequent withdrawals using a check or debt card Charge lower fees

Checking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.

In conclusion, option A is correct.

Find out more about checking accounts at https://brainly.com/question/21714367.

brainlyest, plus 5 points
PLEASE STEP BY STEP
Evaluate x/2+5y-1.5 when x = 10 and y = 8

Answers

Answer:

43.5

Step-by-step explanation:

x/2+5y-1.5

10/2+5×8-1.5

5+40-1.5

5+38.5

=43.5

Answer:

43.5

Step-by-step explanation:

x ÷ 2 + 5y - 1.5

Start by replacing the x's and y's

10 ÷ 2 + (5 · 8) - 1.5

Start with parenthesis

10 ÷ 2 + 40 - 1.5

Then do the division

5 + 40 - 1.5

Then go left to right

45 - 1.5

43.5

I hope this helps!!!

Find the LCM of 8, 4 and 6.​

Answers

Answer:

Answer: LCM of 4, 6, and 8 is 24.

Answer:

24

Step-by-step explanation:

8 → 8, 16, 24, 32, 40

4 → 4, 8, 12, 16, 20, 24, 28, 32, 36

6 → 6, 12, 18, 24, 30, 36

----------------------------------

So the LCM is 24.

-----------------------------------

- Hope it helps!

- Have a good day!

Urgent!
<6 and what angle are corresponding angles?

Answers

Answer:

11

Step-by-step explanation:

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

5y+4x=10.51 8y+3x=10.39

Answers

Answer:

  (x, y) = (1.89, 0.59)

Step-by-step explanation:

Written in general form, the equations are ...

  4x +5y -10.51 = 0

  3x +8y -10.39 = 0

These can be solved using the cross-multiplication method to find ...

  ∆1 = (4)(8) -(3)(5) = 17

  ∆2 = (5)(-10.39) -(8)(-10.51) = 32.13

  ∆3 = (-10.51)(3) -(-10.39)(4) = 10.03

Then the values of the variables are ...

  x = ∆2/∆1 = 32.13/17 = 1.89

  y = ∆3/∆1 = 10.03/17 = 0.59

The solution is (x, y) = (1.89, 0.59).

Brian and Andie were calculating their total money saved to see if they could buy a game to share. Andie notices that she has 24 more dollars than Brian. If together they have $72, how much money does Brian and Andie have? ​

Answers

Answer:

Andie has 48 and Brian has 24

hope it's correct

A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday.
3.1, 3.3 ,3.5 ,2.6, 2.6, 4.3, 4.4 ,3.8 ,3.1 ,4.1 ,3.1, 3.2
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b) State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(d) Do these sample data suggest there is a difference between the national average and the sample mean of the senior citizens?

Answers

Using the t-distribution, it is found that:

a)

The null hypothesis is [tex]H_0: \mu = 3.1[/tex]

The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]

b)

|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.

c) t = 1.853

d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

Item a:

At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:

[tex]H_0: \mu = 3.1[/tex]

At the alternative hypothesis, it is tested if the estimate is not correct, that is:

[tex]H_1: \mu \neq 3.1[/tex]

Item b:

This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05,  hence, the critical value is [tex]t^{\ast} = 2.2[/tex].

Then, the decision rule is:

|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.

Item c:

We can find the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\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. s is the standard deviation of the sample. n is the sample size.

The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]

[tex]t = 1.853[/tex]

Item d:

Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

A similar problem is given at https://brainly.com/question/24826023

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