Which function is shown in the graph below? On a coordinate plane, a function is shown. The curve starts in quadrant 4 and curves up to quadrant 1. It goes through (0.5, negative 0.4), (1, 0), and (6, 1). y = log Subscript one-sixth Baseline x y = log Subscript 0.5 Baseline x y = log Subscript 1 Baseline x y = log Subscript 6 Baseline x

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The y-values of the graph increases as the value of x increases, which

indicates that a characteristic of the base of the logarithm function.

Correct response:

The function that corresponds with the graph is; [tex]\underline{\mathrm{y = log_6 x}}[/tex]

How can the function of a log graph be determined?

The given points on the graph are;

The point where the graph starts = Quadrant 4

Direction of the graph = From quadrant 4 to quadrant 1

Points on the graph are;

(0.5, -0.4), (1, 0), and (6, 1)

The given options are;

[tex]y = \mathrm{log_{\frac{1}{6} } x}[/tex]

[tex]y = \mathrm{log_{0.5} x}[/tex]

[tex]y = \mathrm{log_1 x}[/tex]

[tex]y = \mathrm{log_{6} x}[/tex]

From the shape of the graph, in which, log x increases as x increases, therefore;

The base, b, of the logarithm is larger than 1, given that we have;

[tex]\mathbf{log_bx} = y[/tex]

[tex]\mathbf{b^y} = x[/tex]

From the given coordinate points, x increases as y increases, therefore;

b > 1

The possibly option is therefore, y = log₆x

Verifying, we have;

At x = -0.4, y = 0.5

[tex]b^y = x[/tex]

[tex]6 ^{(-0.4)}[/tex] ≈ 0.488

Therefore, the point (0.5, -0.4) is close to the graph of y = log₆x

At the point (1, 0), we have;

6⁰ = 1

Therefore, the point (1, 0), is on the graph of y = log₆x

At the point (6, 1), we have;

6¹ = 6

Therefore, the point (6, 1) is on the graph of y = log₆x

The function of the graph is therefore;

[tex]\underline{ \mathrm{y = log_6 x}}[/tex]

Learn more about logarithmic functions here:

https://brainly.com/question/7434809


Related Questions

Plz help me well mark brainliest if correct!!..
.

Answers

Answer:

70 ft

Step-by-step explanation:

20 + 20 + 15 + 15 = 70

2) Justin works at supermarket and regularly earns $10.50 per hour. In the past five
days, his time card shows that he worked 5.3, 3.4, 6.0, 5.5, and 5.3 hours. What is his
gross pay?

Answers

If 1 hour is $10.50

5.3X10.5=$55.65
3.4X10.5=$35.7
6.0X10.5=$63.0
5.5X10.5=$57.75
There gross pay is the summation of the four earnings =$212.10

Change the decimal 5.4 to a percent. [make sure you include the % sign in your answer]

Answers

Answer:

5.4 as a percent is 540%

Hope I helped! :)

Answer:

I think the answer is 525%

Help solve this problem pls

Answers

Not so clear to answer this

Find the measure of ∠NED, not ∠CED.

Answers

Answer:

[tex] m\angle NED = 100\degree [/tex]

[tex] m\angle CED = 80\degree [/tex]

Step-by-step explanation:

By exterior angle theorem:

(9x - 8)° = (5x - 10)° + 50°

(9x - 8)° = (5x - 10 + 50)°

(9x - 8)° = (5x + 40)°

9x - 8 = 5x + 40

9x - 5x = 40 + 8

4x = 48

x = 48/4

x = 12

(9x - 8)° = (9*12 - 8)° = (108 - 8)° = 100°

[tex] \implies m\angle NED = 100\degree [/tex]

[tex] m\angle CED = 180\degree - 100\degree [/tex] (Linear pair angles)

[tex] \therefore m\angle CED = 80\degree [/tex]

[tex]\huge{ \mathcal{  \underline{ Answer }}}\:  ✓ [/tex]

Measure of Exterior Angle of a triangle is equal to the sum of measures of two opposite interior angles .

From above statement we have :

[tex] 9x - 8 = 5x - 10 + 50[/tex]

[tex]9x - 5 x = 40 + 8[/tex]

[tex]4x = 48[/tex]

[tex]x = \dfrac{48}{4} [/tex]

[tex]x = 12[/tex]

_____________________________

[tex] \mathrm{\angle \: NED = 9x - 8}[/tex]

[tex](9 \times 12) - 8[/tex]

[tex]108 - 8[/tex]

[tex]100°[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Why is there a letter also on Mathematics?

I mean, there is a letter in English...

I don't know why there is a letter like 2x + 19 and x + 23.

It's really frustrating that there's a letter in Mathematics

They can just do "3*4" instead of "x*4 when x=3"

I know... I know... It's a silly question.

Answers

Answer:

Not silly, i understand but "x" is supposed to be a subsitute for a number after the many equations youll be learning in algebra. x can be anything, it isnt set to anykind of specifac number but rather an output of an equation. It is fustrating but i reccomend khan acdemy videos or math nation since they specialze in thses kinds of maths

Step-by-step explanation:

laurette has 126 cards. She buys 6 more packages of cards that each have 7 cards in them. How many cards does laurette have now?

Answers

Answer:

168

Step-by-step explanation: 6 times 7 equals 42. Add 42 to 126 and Laurette has a total of 168 cards now.


What number is ten less than 658?

Answers

Answer:

648 is the answer

Step-by-step explanation:

658-10=648

If each collectible coin weighs 2.5 grams, how much do 3 collectible coins weigh all together?
A) 9.5 grams
B) 8.5 grams
7.5 grams
D 6.5 grams

Answers

Answer:

Hello! answer: 7.5 grams

Step-by-step explanation:

To find the answer we simply just do 2.5 × 3 so... 2.5 × 3 = 7.5 so 7.5 grams is the answer! Hope that helps!

A company makes fifty-four million, nine hundred twenty thousand, one hundred
two widgets every year. What is this number written in standard form?

A. 54, 920, 102
B. 549, 212
C. 54, 000, 920, 102
D. 504, 920, 102

Answers

Correct answer is A.54,920,102

willa is shopping at the mall. An outfit that she likes has 3 different styles of the top, a choice of a skirt or slacks, and 4 different belts. How many different combination does Willa have have to choose from?
A: 2
B: 6
C: 12
D: 24​

Answers

Answer:

c

Step-by-step explanation:

List two pairs of angles in square CDFG that are complementary

Answers

Answer:

1st pair:  ∠C + ∠M

2nd pair: ∠G + ∠M

Step-by-step explanation:

A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?

Answers

Mr.Darcy would need 2 1/4cups of oil. I got this by multiplying 3/4 by 3.

Which graph represents the solution set of 2x-5<3

Answers

Answer:

1

Step-by-step explanation:

2x-5< 3

add 5 to both sides

2x<8

divide 2 for both sides

x<4

graphically, Graph 1 represents this equation where x is anything smaller than 4 but not including 4

I need the answer pls fast

Answers

Answer:

B. 215cm^2

Step-by-step explanation:

180 + 35

Answer: B. 215

Step-by-step explanation:

I found the answer button.

The full height is 20, and the height of the parallelogram is 10. So that means the triangles height is 20-10=10. The top and bottom sides of a parallelogram are the same, so the base of the triangle is 18-(6+5)=7. So the area of the triangle is (7x10)/2=35. The area of a parallelogram can be count that same way as a regular rectangle. So 18x10=180. Putting those two together, 35+180=215.

how many feet in 3 yards​

Answers

Answer:

there's 9 feet

 hop this help

Step-by-step explanation:

the way i got it was multiply the length value by 3

braniest plz

Answer:

there would ve 9 feet in 3 yards

A triangle has vertices (0, 2), (3, 1), and (6.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.​

Answers

Answer:

6 + 2√10 units.

Step-by-step explanation:

We can use the distance formula to find the distance between the points. The points are ,

(0,2)(3,1)(6,2)

Distance 1 :-

=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₁ = √{ (0-3)² + (2-1)² }

=> D₁ = √{ 3² + 1² }

=> D₁ = √{ 9+1}

=> D = 10

Distance 2:-

=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₂ = √{ (6-3)² + (2-1)² }

=> D₂ = √{ 3² + 1² }

=> D₂ = √{ 9 + 1}

=> D = 10

Distance 3 :-

=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₃ = √{ (6-0)²+(2-2)²

=> D₃ = √6²

=> D = 6

→ Perimeter = D₁ +D₂ + D₃

→ Perimeter = √10 + √10 + 6

Perimeter = 6 + 210 units

Hence the perimeter is 6+210 units.

Find volume of the irregular
Shape


Answers

9514 1404 393

Answer:

  36 cm²

Step-by-step explanation:

This shape can be considered to be a 6 cm by 7 cm rectangle with a 2 cm by 3 cm area cut from the lower right corner. Its area is then ...

  area of full rectangle - area of cutout

  = (6 cm)(7 cm) -(2 cm)(3 cm)

  = 42 cm² -6 cm² = 36 cm² . . . . area of irregular figure

Please answer the question correctly with factual information for brainliest.

Answers

Answer:

8.9

Step-by-step explanation:

[tex]1)\ S = 80 => l = \sqrt{80}[/tex]

[tex]2)\ l = \sqrt{80} = 8.9[/tex]

Use technology to construct an appropriate model of the data,
(0.1). (1, 2), (2, 3), (3,-2), (4.1)

Answers

Answer:

Quadratic model

Step-by-step explanation:

Given the data :

(0.1). (1, - 2), (2, - 3), (3,-2), (4.1)

The above data point when plotted using technology gives a quadratic model with the equation : x² - 4x + 1

With the quadratic regression model for the data above, we obtain a correlation Coefficient of 1 ; which means a perfect relationship exists between the x and y variables.

The expected value of a fair 6-sided die is 3.5.
Which of the following statements are true?
Choose all answers that apply:
А
3.5 is one of the possible outcomes of rolling a fair 6-sided die.
A fair 6-sided die is more likely to land on the number 4 than the number 6.
If you rolled a fair 6-sided die a large number of times, you should expect the average of the
numbers rolled to be about 3.5.

Answers

Answer: if you roll a fair 6 sided for a large number of times the average would be 3.5

Step-by-step explanation:

Khan

Determine the value of a.
Question 10 options:

A)

6

B)

10

C)

70

D)

7

Answers

Answer:

The answer is D

Step-by-step explanation:

5, 8, II, 14 ...
The pattern is
Next 2 terms =​

Answers

Answer:

the next two terms are 17, 20

Step-by-step explanation:

add 3 to each term

Example

5+3 = 8

8+3= 11

11+3= 14 etc.

Answer:

17 And 20

Step-by-step explanation:

The pattern is add 3

Can i get some help solving this problem please. 2x=x-10

Answers

Answer:

x=3.33

Step-by-step explanation:

2x=x-10

2x+x=10

3x=10

x= 10/3

x= 3.33

The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following
groups:
• All teachers in the school
• All boys in each grade
• All students in the speech club
• All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey?
O All teachers in the school
O All boys in each grade
All students in the speech club
O All students in each grade

Answers

All students in each grade

NO LINKS!!!!!
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.

Answers

Answer:

look at the photo

Step-by-step explanation:

Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.

7.5 = 2.5 ln Mln M = 3m = e^3 = 20.08553692

Hope it will help you

helppppp me please i’ll give brainliest

Answers

Answer:

[tex]C) ~As ~ X ~increases, Y ~ decreases[/tex] ✔︎

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

hope it helps....

have a great day!!

Answer:

C will be your answer!

Step-by-step explanation:

hope it helps..

Your mother has a new cell phone. It comes with 18 apps already installed. She only uses 2/3 of those apps. She downloaded 12 more apps that she uses frequently. Write an equation to represent the total number apps your mom uses.

Answers

Awnser: sge uses 24 apps
Step by step explanation: 18 divided by 3 = 6. 6+6=12. 12+12=24.
Have a great day! Hope this helps

Answer:

Step-by-step explanation:

The cell phone comes with 18 apps already installed, but she only uses 2/3 of the apps. Therefore, we need to find 2/3 of 18 to find the number of apps she uses. 2/3 * 18 = 12 apps she uses frequently. Outside of that, she downloads 12 more frequently used apps, so you add 12 to 12 to get 24 total apps that she uses.

However, the question asks for the equation to find the answer. So, the equation would be like:

18(2/3) + 12 = x

where x is representing the number of apps she uses.

Find the circumference of the circle.radius of 44 in Use 3.14 or 22/7

Answers

Answer:

hi i do not know but i love the app

What is the problem to this one?

Answers

Answer:

45

Step-by-step explanation:

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