BRAINLIEST IF CORRECT HURRY
Which statements represent the relationship between y=3x and y=log3x ?

a. The graphs of functions are symmetric about the line y = 0.
b. The functions are inverses of each other.
c. The graphs of functions are symmetric to each other over the line y = x.
d. The equation ​ y=log3x ​ is the logarithmic form of ​ y=3x ​.

Answers

Answer 1

2 Answers: Choice B and Choice C

====================================================

Explanation:

Choice A is false because all of [tex]y = 3^x[/tex] is above the x axis. There are no portions below the x axis, which means it cannot possibly be symmetric about the x axis.Choice B is true. The exponential undoes the log, and vice versa. This only works if the bases of the exponential and log are the same. In this case, both are base 3.Choice C is true. To visually find the inverse, we reflect over the line y = x.Choice D is false. Converting [tex]y = 3^x[/tex] to logarithmic form leads to [tex]x = \log_3(y)[/tex]. So you'll need to swap the x and y.

Related Questions

Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])

Answers

Answer:

(2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Add 3x on both sides:                    y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Substitute in y:                    2(3x + 1) - x = 12Distribute 2:                         6x + 2 - x = 12Combine like terms:           5x + 2 = 12Isolate x term:                     5x = 10Isolate x:                              x = 2

Step 5: Solve for y

Define equation:                    2y - x = 12Substitute in x:                       2y - 2 = 12Isolate y term:                        2y = 10Isolate y:                                 y = 5

I need help asap ill give BRAINLIEST

Answers

Answer:

Concept: Basic Mathematics

1.3 18-14

Answer:

1.3

18

-14.....................

What is the measurement of Angle x. please explain​

Answers

the measurement of angle x is 40°. these two triangle are congruent so their sides share the same length and their angles share the same degrees
40 hope this helps !!!

What is the partial fraction decomposition of 7x^2-6x+9/3x(4x^2+9)

Answers

Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)

The form of the partial fraction decomposition is

x+7(x+1)(x+2)=Ax+1+Bx+2

Write the right-hand side as a single fraction:

x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)

The denominators are equal, so we require the equality of the numerators:

x+7=(x+1)B+(x+2)A

Expand the right-hand side:

x+7=xA+xB+2A+B

Collect up the like terms:

x+7=x(A+B)+2A+B

The coefficients near the like terms should be equal, so the following system is obtained:

{A+B=12A+B=7

Solving it (for steps, see system of equations calculator), we get that A=6, B=−5

Therefore,

x+7(x+1)(x+2)=6x+1+−5x+2

Answer: x + 7x\textasciicircum{2} + 3 x + 2=6x+1+−5x+2

Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal probability distribution. Michelin wants to set the minimum guaranteed mileage so that no more than 4 percent of the tires will have to be replaced. What minimum guaranteed mileage should Michelin announce

Answers

Answer:

The minimum guaranteed mileage is  [tex]x = 71489.55[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 67900[/tex]

     The standard deviation is  [tex]\sigma = 2050[/tex]

Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as

    [tex]P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04[/tex]

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

     [tex]P( X \ge x ) =1- P( Z<z) = 0.04[/tex]

=>  [tex]P( X \ge x ) = P( Z<z) = 0.96[/tex]

=>    [tex]z = \frac{ x - 67900 }{ 2050}[/tex]

From the z table, the critical value corresponding to 0.96 to the left of the curve is  

         [tex]z = 1.751[/tex]

So

        [tex]1.751 = \frac{ x - 67900 }{ 2050}[/tex]

=>     [tex]x = 71489.55[/tex]

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

Answers

Answer:

uuuhhhh well i think B maybe

Answer: B

Step-by-step explanation: hope it helps :)

Since I’m kinda slow I need help on this please

Answers

Answer:

when x=5, y=20

when x=3, y=12

when x=4, y=16

I hope that helps you!! :)

What is long division answer to 6 divided by 92

Answers

The answer is 0.065217391304348

which mixed number is equal to 18/8
2 6/9
2 5/8
2 1/4
1 2/8

Answers

Answer: 2 1/4

Step-by-step explanation:

How would i draw the line y= -x

Answers

Answer:

Hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the slope of the line that is represented by the values in the table above?​

Answers

Answer:

Answer:

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

slope (m) =6

Step-by-step explanation:

Answer:

whats the answer dang

Step-by-step explanation:

Plz help with question

Answers

Answer:

I believe it's B

Step-by-step explanation:

Isosceles triangles have congruent base angles, so base angle A and B should both be the same number. (25)

Added up, 25+25+130 is 180 degrees.

Suzy is ten years older than Belly, and the next year she will be twice as old as Billy. How old are they now? Show solution.

Answers

Answer:

I understand there is a typo, so Belly and Billy are the same person. His age is represented as B, and Suzy's as S.

S = 19

B = 9

Step-by-step explanation:

Suzy is ten years older than Belly:

(1)  S = B + 10

the next year she will be twice as old as Billy

(2)  S + 1 = 2 (B + 1)

solving the system of equation (1) and (2):

Making (2) - (1):  

1 = 2 (B + 1) - B - 10 => 1 = 2 B + 2 - B - 10  => 1 = B - 8 => B = 9

replacing in (1) S = 19

Which choices are solutions to the following equation?
Check all that apply.
X2-7x = -24/4
A. X=1
B. X=2
C. X=12
D. X=6

Answers

The answer is d sorry if I’m wrong

1. Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

Answers

Answer:

1) 0.99348

2) 0.55668

Step-by-step explanation:

Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises

When given a random number of samples, we use the z score formula:

z-score is z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.

For x > 160 lb

z = 160 - 172/29/√36

z = 160 - 172/29/6

z = -2.48276

Probability value from Z-Table:

P(x<160) = 0.0065185

P(x>160) = 1 - P(x<160) = 0.99348

(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

For x = 170 lb

z = 170 - 172/29/√81

z = 170 - 172/29/9

z = -0.62069

Probability value from Z-Table:

P(x = 170) = 0.2674

For x = 175 lb

z = 175 - 172/29/√36

z = 175- 172/29/6

z = 0.93103

Probability value from Z-Table:

P(x = 175) = 0.82408

The probability that they have a mean weight between 170lb and 175lb is calculated as:

P(x = 175) - P(x = 170)

0.82408 - 0.2674

= 0.55668

order the numbers from least to greatest​

Answers

Answer:

What numbers?

Step-by-step explanation:

Answer:

if you comment them Ill out them in least to greatest :)

Step-by-step explanation:

they are 1, 2, 3, 4, 5 if those are the numbers :)

9 multiplied by 21 equals what

Answers

189
hope this helped!!

Answer:

189

Step-by-step explanation:

Also can you make me brainliest please

Find the measure of X plz

Answers

Answer:

X = 44°

Step-by-step explanation:

The angle other than 68°and and x is also 68° because its a isosceles triangle.

so 68° + 68° + x = 180° (angle sum property)

136° + x = 180°

x = 180 - 136

= 44°

hope this helps.

Answer:

44

Step-by-step explanation:

two lines are similar so there angel are the Same

Let f(x) = 9x and g(x) = x + 7. What's
the smallest number that is in the domain of
fºg?
Enter the correct answer.
OOOO
DONE
Clear all

Answers

Answer:

Let `f` be a function defined on [0,2]. Then find the domain of function `g(x)=f(9x^2-1)

Step-by-step explanation:

I'm not sure if that's right

Please answer this as quick as you can

Answers

Answer:

Step-by-step explanation:

3 and 2 for what i see with the question  i don't know  if the blue is blocking a tick but i think its 2 and 3 tell me if there  a tick on where the blue started so then i might change my answer

You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion?
a) Your results are significant; one's willingness to wear masks is not independent of one's age. b)Your results are significant; one's willingness to wear masks is independent of one's age.
c)Your results are not significant; one's willingness to wear masks is independent of one's age.
d) Your results are not significant; one's willingness to wear masks is not independent of one's age.​

Answers

Answer:

The statistical conclusion is:

a) Your results are significant; one's willingness to wear masks is not independent of one's age.

Step-by-step explanation:

From this experiment,

The null hypothesis is established as:

H 0 = one's willingness to wear masks is independent of one's age.

The alternate hypothesis is established as:

H 1 = one's willingness to wear masks is not independent of one's age.

In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.

Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance.  Thus, the null hypothesis is rejected.

Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.

A department store buys200 shirts at a cost of ​$ 5400 and sells them at a selling price of ​$30 each. Find the percent markup

Answers

200 shirts x $30 = $6000

Total sales would be $6000

Profit = 6000 - 5400 = $600

Divide profit by cost:

600/5400 = 0.1111

Multiply by 100 for percentage:

0.111 x 100 = 11.1%

Rounding to nearest percent would be 11% markup

Answer:

is it 2.00?

Step-by-step explanation:

Find the quotient in their exponential form.
a) (8/27)power 5 ÷ (2/3)power 7
The first person who do this numerical i will give him 25 stars and rank the brainliest plz guys tell fast its urgent for me​

Answers

Answer:

0.609663161

Step-by-step explanation:

(8/27)power5 = 5.57533755

(2/3)power7= 9.14494717

then, u just devide... from what i know

Answer:

It is 0.609663161

Step-by-step explanation:

Hope this helped have an amazing day!

Graph the equation .
y = 4x + 1

Answers

Answer:

-Picture attached-

Step-by-step explanation:

The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.

5, if r = 3?
what is the answer

Answers

Answer:

8

Step-by-step explanation:

Answer:

2 is answer

Step-by-step explanation:

5-3=2 you just subract

I GIVE BRANLILSET

Maddie prepared 24 kilograms of dough after working 6 hours. How many hours did Maddie work if she prepared 40 kilograms of dough? Assume the relationship is directly proportional.

Answers

Answer:

10 hours

Step-by-step explanation:

24kg dough/6 hours = 4kg dough/hour

4kg dough / 1 hour

*10                *10        (multiply both sides by 10)

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

40kg dough/10hrs

Which expression uses the associative property to make it easier to evaluate
(16- })?
OA. (16 )2
OB. ( 16)
Oc. 16(3)
OD. ( 16)

Answers

Answer:

Option B: (½•16)⅓

Step-by-step explanation:

The associative property states that we can add or multiply numbers in a group regardless of how those numbers are grouped. And that we will get the same answer.

For example;

x(y•z) = (x•y)z = (x•z)y

Now in our question, we want o evaluate; ½(16•⅓)

Using the associative property, the best expression will be: (½•16)⅓

It's the best expression because the terms in the bracket are easy to multiply out without remainder.

Thus, option B is correct

function or not a function​

Answers

Answer:

That isn't a function because the ratio of those numbers doesn't equal.

Step-by-step explanation:

25 points question is below

Answers

Answer:

x - 5y = 30

Step-by-step explanation:

If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway

good answer also makes a lot of sense you are correct

Hello I will give BRAINLIEST to whoever answers:)

Answers

The person above is correct

Answer: 4.5

Reason: the girl was 1 meter in the water, but she didn’t go back up, she instead dived deeper 3.5 meters.

Mathematical way of putti by this is

1 + 3.5 = 4.5

Hope this helps
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