1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mr Goodwill [35]
3 years ago
12

Which of the following points lies on the graph of the inverse of f(x) = 6^(x + 1)?

Mathematics
1 answer:
svetlana [45]3 years ago
8 0
F ( x ) = 6^(x+1)
y = 6^(x+1)
x+1=log _{6}y \\ x = log _{6}y-1
The inverse is:
y = log _{6}x
And when you plug in the values: x = 1, y = - 1:
- 1 = log 1 - 1
- 1 = 0 - 1
 - 1 = - 1
so the answer is:
( 1, - 1 )



You might be interested in
Prime integers between 1and11​
Roman55 [17]

Answer:

1,3,5,7,11

Step-by-step explanation:

a prime numb er or integer is a number that can not be multiplied to get to other than x1 so for example the only thing you can do for 3 is 3x1 not anything else especially because you said integer

5 0
3 years ago
Square ABCD is shown with four congruent images such that ABCD Is congruent to FGHI Is congruent to JKLM Is congruent to NOPQ Is
egoroff_w [7]
JKLM and RSTU transformed figure
5 0
2 years ago
Read 2 more answers
What is the image of the point (3, 2) after a rotation of 90° counterclockwise about the origin?​
GarryVolchara [31]
(-2,3). When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).
7 0
3 years ago
A sample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of California. A ran
mart [117]

Answer:

a) The 95% confidence interval would be given (0.070;0.121).

b) "increase the sample size n"

"decrease za/2 by decreasing the confidence"

Step-by-step explanation:

Notation and definitions

X=48 number of vehicles classified as sports utility.

n=500 random sample taken

\hat p=\frac{48}{500}=0.096 estimated proportion of vehicles classified as sports utility vehicles.

p true population proportion of vehicles classified as sports utility vehicles.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)

The confidence interval would be given by this formula :

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.5=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.096 - 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.070

0.096 + 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.121

And the 95% confidence interval would be given (0.070;0.121).

We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .  

(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)

For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate

7 0
3 years ago
2x - 6 y equals 24 negative 5 plus 6y equals negative 6
SCORPION-xisa [38]
I hope this helps you

8 0
3 years ago
Other questions:
  • What is the largest prime factor of 200
    13·2 answers
  • Please help and I'll give as many points possible.
    7·1 answer
  • Answer each question about the following arithmetic series:
    5·2 answers
  • 173 миллиметр в сантиметрах ??​
    6·1 answer
  • In a class of 50 students 24 like football, 21 basketball and 18 Cricket, 6 like football and basketball, only 3 like basketball
    11·1 answer
  • On your first day in business, 126 people come to eat. They spend about $52 each. About how much money did you earn on your firs
    12·1 answer
  • Could u please help or give me the answer​
    12·2 answers
  • there are 5 pics with multiple questions inside them if you do finish this one the will be more on my questions list on my profi
    5·1 answer
  • 26 less than three times a number is equal to the number. What is the number?
    13·1 answer
  • If y = xy + x2 + 1, then when x=-1,<br> dy/dx
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!