Mathematics High School

The graph shows the function f(x) = 6(3)^x What is the value of the inverse function, f ^-1 at x = 2

Answers

Answer 1

Answer:

Step-by-step explanation:

y = f(x)

y = 6 * 3^x

Interchange x and y

x = 6 * 3^y

Divide by 6

x/6 = 3^y

Take the log of both sides

log(x/6) = log(3)^y

Bring the y down

log(x/6) = y log(3) \

Divide by log(3)

log(x/6)/log(3) = y

Let x = 2

log(2/6) / log(3) = y

-(0.4771 )/ 0.4771 = y

y = - 1

Remark

The original graph is in green

The red graph is the inverse.

The point (2,-1) is marked so that you know it falls on the inverse.

Related Questions

an integer less than its opposite is
A. less than zero
B. zero
C. between zero and one
D. greater than one

Answers

Answer:

I think it's A

Step-by-step explanation:

Sorry if I'm wrong

how do we say the expression in words?

can somebody help me pls rn

Answers

Answer:

Step-by-step explanation:

1 Escritura unida

Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]

el bajorrelieve, los bajorrelieves

la mediapunta, las mediapuntas

En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:

el puercoespín, los puercoespines; el puerco espín, los puercos espines

el arcoíris, los arcoíris; el arco iris, los arcos iris

el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.

el pavorreal, los pavorreales; el pavo real, los pavos reales

La Gramática prefiere, como norma general, la forma en una palabra.

A stack of two hundred eighty cards is placed next to a ruler, and the height of stack is measured to be 7 8 inches. How thick is one card?

Answers

Answer:

1 /320 inches

Step-by-step explanation:

thickness of each card

7/8 ÷ 280

7/8 x 1/280 = 1/320 in

A car travels a distance of 500 km in a time of 5 hours.
What is the car's average speed?

Answers

Answer:

100km/h

Step-by-step explanation:

The formula for speed is:

v = x / d = 500/5 = 100km/h

How long will it take an investment of $400 earning 3% annual interest compounded monthly to triple in value?

Answers

Answer:

$12 is 3% of $400, triple the value is $1200, it would take 100 months, or 8 years

please help me 20 points

Answers

22+10=32yd ...............

Answer:

The answer is 32. Sorry need the points.

Hello! Im currently in elementary school and ik this is easy for u in middle school so pls help me.

You go out of the path and take a round that forms a perimeter of the small mountain. You measure the circumference to 75 meters. The view was so nice here, so you take another round with the same circumference.
How much longer was the trip because you took 2 laps in this perimeter detour?

I’ll give 15 points? pls fast i have time on me.

Answers

Answer: WELL WE GO BY 150 METERS AND THAT ADDS TO TIME BUT BUT GOING TWICE YOU GET 150 METER IN ALL

Step-by-step explanation:

5. Solve the equation using the Zero-Product Property.

Answers

Answer:

x=8 or x=1 1/5

Step-by-step explanation:

x-8=0 5x-6=0

x=8 5x=6

5x/5=6/5

x=1.2 or 1 1/5

I hope this helps! :)

Angle A and B are supplementary. Angle A is 39 degrees so angle B must be what??

Answers

supplementary angles = 180°

Step-by-step explanation:

[tex]124 = -16t^2+75t+80\\-16t^2+75t-44=0[/tex]

Solving for t using the quadratic formula we get:

[tex]t = 4\\[/tex]

[tex]t=0.6875[/tex]

The times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

What is meaning of the term function?an expression, rule, or law defining a connection between one variable (a independent variable) and the other (the dependent variable). Functions are common in mathematics and are required for the formulation of actual relationships with in sciences.

The function given for the height of the ball thrown is;

h(t) = -16t^2+75t+80

In which, h is the height in feet,

t, is the time till ball is in air( in seconds. )

When height h = 124 feet.

Time t = ?

Put h = 124 in the given equation.

124 = -16t^2+75t+80

On solving.

-16t^2+75t-44 = 0.

16t^2 - 75t + 44 = 0.

Solve the quadratic equation by the quadratic formula,

t = 4 and t = 0.68 seconds.

Thus, the times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

To know more about the function, here

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Can someone plz answer these questions or at least one?I'll give brainliest if you answer all.

Answers

Answer:

#1 What is the y-intercept? -there is no y-intercept it passes through 0.

#2 What is the y-intercept? -the y-intercept is -2

Step-by-step explanation:

why is it 0? the line goes through in between the lines in the middle, that's 0.

why is it -2? the line goes up and the y axis going down is negative on the bottom and passes through -2.

What is the answer to this question

Answers

781 would be the answer I believe

Answer:

cant see picture its blocked off

Step-by-step explanation:

Two or more friends are collecting pop-can tabs. Natasha has 250 more pop-can tabs then Krystel, in total they have 880. how many pop-can tabs did each collect

Answers

Alot of pop-cans
Hint take 880-250

Answer:

Krystal collected 315 pop-can tabs while Natasha collected 565 pop-can tabs.

Step-by-step explanation:

Let x be number of pop-can tabs Krystal collected

Krystal: x

Natasha: x + 250

x + x + 250 = 880

2x = 880 - 250

2x = 630

x = 315

Krystal: 315 pop-can tabs

Natasha: 315+250 = 565 pop-can tabs

It took each student 30 minutes to set up the puppet show and twice as long to put everything away. The show was open for 3 hours. How much time did each student spend on this event?

Answers

Answer:

4 and 1/2 hours or 270 minutes

Step-by-step explanation:

Each student spend 30 minutes to set up the puppet show.

+30

They spent twice as long to put everything away.

+30 +30

Current total: 90 minutes

The show was open for three hours

+180 (60 minutes in an hour x 3 hours)

Current total: 270

Total: 270 minutes

Divide 270 by 60 minutes in an hour, which would be 4.5 hours.

Answer: 1 hour and 30

Step-by-step explanation:

First, you multiply 30 minutes x2 and get 60. 60 minutes is an hour so now you have an hour. Then you add 30 minutes to that and get 1 hour and 30 minutes. Then, you subtract 3 hours minus 1 hour, and 30 minutes and get 1 hour and 30 minutes.

Do klasy zakupiono n stolików i dwa razy więcej krzeseł.Ile mebli zakupiono?Trzy krzesła były uszkodzone i zwrucono je do producenta.

Answers

Answer:

3n meble

3n - 3 meble pozostały

Step-by-step explanation:

n stoły

2n - 3 krzesła

n + 2n = 3n

identify the y-intercept of y=-4x
(0, -4)
(0,0)
there isn't one
(0,1)

Answers

Your answer is B: (0, 0).

the y-intercept would be (0,0), when you plug 0 in for x the equation is y=-4(0). The y value simplifies to 0

please help me ..............................

Answers

Question 1 is the correct answer

Directions: Please show work to earn credit. Answers without any work are not worth any credit. Remember elegance and labeling of all units, as well as precision and accuracy. Read each question carefully and check your solutions.
1.
a.) Find the surface area of a right prism with the following dimensions:
Length: 12 cm
Width: 7 cm
Height: 9 cm

Answers

Answer:

The total surface area of this object is 510 cm^2.

Step-by-step explanation:

Here L = 12 cm, W = 7 cm and H = 9 cm.

There are 2 panels 12 by 9 cm, 2 panels 12 by 7 cm, and 2 panels 7 by 9 cm. The combined areas are:

2(108 cm^2) + 2(84 cm^2) + 2( 63 cm^2) = 510 cm^2 total area

Find the volume of the given rectangular pyramid.

Answers

Answer:

5 x 3 = 15, 15 x 4 = 60

60 x 1/3(basically just dividing by 3) = 20 in3

Answer:

H) 20

Step-by-step explanation:

Formula for the volume of a rectangular pyramid:

V = (whl)/3

Given:

w = 3

h = 4

l = 5

Work:

V = (whl)/3

V = (3 × 4 × 5)/3

V = (60)/3

V = 20

x=-2
Plz I need it plz

Answers

I need more information

I need major help with triangle congruence!

State the reason as SSS,SAS,ASA,AAS or HL

20 points

Answers

4. yes, HL
6. yes, SAS

s: Practice
Question 1 of 5
Type the correct answer in the box. Use numerals instead of words.
A charter fishing boat sold a total of 50 tickets for its two trips yesterday,
There were 19 adults and 7 children on the morning trip. There were 24 adults on the evening trip.
The probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is
%.

Answers

The probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is 0.62 or 62%.

To calculate the probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip, we will use the formula: $P(\text{Child or Evening Trip}) = P(\text{Child}) + P(\text{Evening Trip}) - P(\text{Child and Evening Trip})$.We are given that there were 7 children on the morning trip and 24 adults on the evening trip.

Therefore, the number of children who were on the evening trip is 0. Hence, $P(\text{Evening Trip}) = 24/50 = 0.48$.

Similarly, the number of children who were not on the evening trip is 7, while the number of adults who were not on the evening trip is $50 - (7 + 24) = 19$. Hence, $P(\text{Child}) = 7/50 = 0.14$.

Since no child was on the evening trip, $P(\text{Child and Evening Trip}) = 0$.

Substituting these values in the formula above, we get: $P(\text{Child or Evening Trip}) = 0.14 + 0.48 - 0 = 0.62$

Therefore, the probability that a randomly selected ticket holder from yesterday is a child or was on the evening trip is 0.62 or 62%.

For more such questions on probability

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What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
I WILL GIVE BRAINLIST TO RIGHT ANSWER

Answers

Answer:

d supplementary angle is s answer to me

Answer is A. Adjacent

Can somebody plz help answer these questions correctly (only if u know how to do this) thanks :D!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD

Answers

14. Range=22 Mean= 31.2
15. Range=33 Mean= 88.2
16. Range= 81 Mean= 161.3
To find range you take the smallest number and the largest number and subtract them. To find mean you add all of the totals together and then divide by how many numbers are given.

An isosceles triangle has an angle that measures 92°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

Step-by-step explanation:

an iscosolice triagle is a triangle with the sam lenghth on both sides

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The graph shows the function f(x) = 6(3)^x What is the value of the inverse function, f ^-1 at x = 2​

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The graph shows the function f(x) = 6(3)^x What is the value of the inverse function, f ^-1 at x = 2