Mathematics College

Graph comparison:
In the image (at the end, below) you can find the function [tex]f (x) = 3^{x}[/tex] and [tex]g(x) = log_{3} x[/tex]

a) Which curve represents the graph of the function f (x)? And g (x)?

b) What is the relationship between f (x) and g (x)?

Graph Comparison:In The Image (at The End, Below) You Can Find The Function [tex]f (x) = 3^{x}[/tex]

Answers

Answer 1

9514 1404 393

Answer:

  a) left curve: f(x); right curve: g(x)

  b) the functions are inverses of each other

Step-by-step explanation:

(a) An exponential function with a base greater than 1 has increasing slope. A log function has decreasing slope. The exponential function is on the left.

__

(b) The base of the exponential is the same as the base of the logarithm, so these functions are inverses of each other. This can be seen in the fact that each is a reflection of the other in the line y=x.

Graph Comparison:In The Image (at The End, Below) You Can Find The Function [tex]f (x) = 3^{x}[/tex]

Related Questions

art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?

Answers

Answer:

25

Step-by-step explanation:

025

18 |450

- 36

090

- 90

00

As part of a school project, Tim and Jesse decide to build a birdhouse. Tim plans to house bluebirds in his birdhouse and Jesse hopes to attract wrens. Tim decides to make the floor of his birdhouse a square that measures

inches on all sides. The piece of lumber that he uses for the floor is

inches wide. How much will he need to cut off of the width of the board to make the floor?




A .3 1/4

B. 2 1/4

C.3 1/2

D. 2 3/4

Answers

Answer:

The answer is 2 3/4

Step-by-step explanation:


Solve for the two variables in the following system of equations. 7x-8y=-12
--4x+2y=3

Answers

Answer:

x=0, y=3/2. (0, 3/2).

Step-by-step explanation:

7x-8y=-12

-4x+2y=3

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

7x-8y=-12

4(-4x+2y)=4(3)

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

7x-8y=-12

-16x+8y=12

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

-9x=0

x=0/-9

x=0

7(0)-8y=-12

0-8y=-12

8y=0-(-12)

8y=0+12

8y=12

y=12/8

simplify

y=3/2

plz help me i give brainliest

Answers

Answer:

The median is 5

Step-by-step explanation:

The median is the value that is in the middle of a data set. One can find this value by lining up all of the values in the data set in ascending order (from smallest to largest). Then one will cross out answers on either side of the data set until one is left with a single value. In the event that one is left with two values, one will take the average of the two values. In other words, add the two values and then divide the result by 2.

The first step in finding the median is to list out all of the given data. Transcribe the visual data that is given in the problem into numerical data. In other words, rewrite the numbers represented by the dots as actual numbers.

1, 1, 3, 4, 4, 5, 6, 6, 6, 7, 9

Now take out numbers from each side until a single number is left in the middle.

1, 1, 3, 4, 4, 5, 6, 6, 6, 7, 9

1, 3, 4, 4, 5, 6, 6, 6, 7

3, 4, 4, 5, 6, 6, 6

4, 4, 5, 6, 6,

4, 5, 6,

5

Yo this looks so confusing to me can someone answer this oraganized or sum

Answers

Answer:

2 units

Step-by-step explanation:

The x-coordinates are

School = 2

House = 5

Count the units (lines) between the two x-coordinates

There are 2 units between them

The grade six pupils decided to have an income generating project. They make
pancakes and spent P100; P50 for 1k of flour, P15 for 2 eggs, P15 1/4sugar. P10 for
baking powder and P10 of margarine. If they made 50 pcs, how much they should sale
each if they add 20% profit?
AP 2.30
B. P 3.00
C. P 2.40
D. P 2.50​

Answers

Answer:

c. P 2.40

Step-by-step explanation:

P 100 spent, 50 pieces made. Therefore P2 a piece. 20% of P2 is .40. Therefore total is 2 + .40 = P2.40

Does anyone know please

Answers

Answer:

the answer would be A  16cm

A stack of cards are numbered from 1 through 100. If a student selects a card, what is the
probability that the student will select a card that has both the same number in the ones place
and the tens place?

Answers

Answer:

10 out of 100

Step-by-step explanation:

Because

ONE of Michael's birds came out of the cage and flew away.
What is the probability that a yellow bird flew away?
Give your final answer as a decimal number.​

Answers

Answer:

100.0 bc it is ONE bird or 100%?????

HELPPP plssss pls pls

Answers

Answer:

∠C = 75°

Step-by-step explanation:

using the formula for the sum of interior mangles for a polygon:

total interior angles = (180° x 5 angles) - 360° = 540°

113° + 4x + 113° + 2x + 9° + 3x + 8° = 540°

combine like terms:

9x + 243° = 540°

9x = 297°

x = 33°

∠C = 2(33) + 9 = 75°

I need help with the questions I circle only.

Answers

Answer:

3:12

4:36

Step-by-step explanation:

( pls dont report me let me kno if it wrong and i will fix it

Not SUV= 12

I didn’t get the last one

A piece of ribbon is cut into three pieces that have length in the extended ratio of 7:8:9. The length of the ribbon is 96 centimeters. What is the length of each piece of ribbon?

Answers

Answer:

28:32:36

Step-by-step explanation:

you add the ratios up all together and divide your answer by 96 the answer you get there you multiply it with the ratios

To the nearest degree, what is the mean (average) temperature of the data set below

23°, 17°, 26°, 5°, 33°, 11°

A. 19°
B. 20°
C. 26°
D. 28°

Answers

Answer:

A. 19°

Step-by-step explanation:

To find the average of something, you add every number in the sequence and then divide it by how many numbers there are.

23 + 17 + 26 + 5 + 33 + 11 = 115

115 / 6 = 19.16666666666667

Round it down and your answer will be 19°.

Help with these ASAP

Answers

The first one is 35 x 3 = 105 and 10 x x = 10x
So 105=10x

Write the quadratic equation in standard form.
- 4(x - x²) = 8
Determine if the quadratic function

Answers

Answer:

x² - x - 2 = 0

Step-by-step explanation:

Given:

- 4(x - x²) = 8

Find:

Standards form

Computation:

- 4(x - x²) = 8

(x - x²) = -2

x - x² = -2

x² - x - 2 = 0

.
* 6 cupcakes for $14
* 12 cupcakes for $30
* 24 cupcakes for $54
The unit price for the 6 cupcakes is
The unit price for the 12 cupcakes is
The unit price for the 24 cupcakes is
The lowest unit price is for

Answers

Answer:

≈$2.33$2.50$2.2524 cupcakes/$54

Step-by-step explanation:

Answer:

$2.33

$2.50

$2.25

24 cupcakes/$54

Step-by-step explanation:

Please help me find what ? Is

Answers

Answer:

My answer is 43 its that rigth

It takes 1/2 of a cup of flour to make a batch of pancakes, Curtis has 5 cups of flour.
How many batches of pancakes can he make?

Answers

Answer:

10 Batches

2 halfs make a whole therefore every cup would count as 2 batches

using this we can multiply 5 by 2 to get 10 batches.

The number of batches of pancakes Curtis can make is A = 10 batches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

If Curtis takes 1/2 cup of flour to make a batch of pancakes, then the number of batches of pancakes that can be made from 5 cups of flour is:

5 cups / (1/2 cup per batch) = 5 / 0.5

On simplifying the equation , we get

A = 10 batches

Therefore, Curtis can make 10 batches of pancakes with 5 cups of flour

Hence , the number of batches is 10

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Please help with this question

Answers

Answer:

x=2

y=3

z=0

not 100% sure on those answers

Q1. If sinθ = 3/5 and cosθ = 4/5, Find the value of tanθ (Use Pythagorean Identity)

Q2. If sinθ = 3/5 and cosθ = 4/5, Find the value of tanθ (Use Trignometric Identity)

Answers

Step-by-step explanation:

[tex]sinθ = \frac{3}{5} \: \: cosθ = \frac{4}{5} \\ now \\ tanθ = \frac{sinθ}{cos θ } \\ = \frac{3}{5 } \div \frac{4}{5} \\ = \frac{3}{5} \times \frac{5}{4} \\ = \frac{3}{4} [/tex]

Hope it will help :)❤

x-5>10.7 pls answer in with in 2 or 3 mins

Answers

Answer:

[tex]x > 15.7[/tex]

Step-by-step explanation:

1) Add 5 to both sides.

[tex]x > 10.7 + 5[/tex]

2) Simplify 10.7 + 5 to 15.7.

[tex]x > 15.7[/tex]

Therefor, the answer is x > 15.7

Answer:

[tex]x \geq 15.7[/tex]

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

Inequality Form: 15.7

Hope this helps

For an art project, Lisa has decided to decorate the letter block “L” (shown in the diagram) built from two rectangular prisms.

Answers

Answer:

2400

Step-by-step explanation:

A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?

Answers

Answer:

Step-by-step explanation:

if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,

the sale price was

(17,500*100)/0.07=250,000

A large van is being used for a picnic. There will be 8 people riding in the van, and there are 8 seats in the van (one of which is the driver's seat). One of the 8 people will have to drive, but only 4 of the people are licensed to drive the van. In how many different ways could the people seat themselves in the van so that they have a licensed driver

Answers

Answer:

The people can seat themselves in 20160 different ways.

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by the following formula:

[tex]A_{n} = n![/tex]

In this question:

For the first seat, that is, the driver seat, 4 possible people can sit.

For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So

[tex]T = 4*7! = 4*5040 = 20160[/tex]

The people can seat themselves in 20160 different ways.

-8x + y = -16
-3x + y = -5​

Answers

Answer:

x= 11/3

y= 6

Step-by-step explanation:

-8x+y=-16

-3x+y = - 5

Multiply the second equation by -1, we get,

-8x + y = -16

3x -y = 5

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

-3x = -11

x= 11/3

x=11/3. so,

-3×11/3 +y = -5

-11+y=-5

y= -5+11

y=6

A school buys 1,950 pencils. The pencils are sold in boxes, with 30 pencils in each box. If each box costs $4.05, what is the total cost, in dollars, that the school will pay for the pencils?

Answers

The answer is
1950/30=65 boxes
Cost of 1 box is =4.05
The cost of 65 boxes=4*65=263.5

Of the listed values, which are equal to the sine of B
B
? Select all that apply

Answers

Answer:

Step-by-step explanation:

Lenny took three of his textbooks home one night. He wanted to find how much his backpack weighed.

Which of these units is MOST appropriate for measuring the weight of Lenny’s backpack?

Answers

Answer:

Pounds.

Step-by-step explanation:

Who in the holy dimension is gonna measure the weight of a bag in ounces and grams? Tons are just not even close to... Do you know how much a ton is? OHMY.

1 GRAM = 0.00220462 Pound

1 OUNCE = 0.0625 Pound

1 POUND = 16 Ounces

1 TON = 2000 Pounds

You wana carry a 2000 pound bag? I dont think so.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

GL :)

A tank is draining water such that the volume is given which an exponentially decreasing graph as shown in the graph below. If the volume was modeled with an equation of the form V=a(b)^t, where t is the number of hours then which of the following is the best value for b?

(1) b=20
(2) b=0.6
(3) b=2.8
(4) b=0.3

Answers

Answer:

[tex]b = 0.3[/tex]

Step-by-step explanation:

Given

[tex]V = ab^t[/tex]

See attachment for graph

From the graph

V = 20 when t = 0

This implies that:

[tex]V = ab^t[/tex]

[tex]20 = ab^0[/tex]

[tex]20 = a * 1[/tex]

[tex]20 = a[/tex]

[tex]a = 20[/tex]

Also:

V = 4 when t = 1.5

So:

[tex]4 = ab^{1.5[/tex]

Substitute 20 for a

[tex]4 = 20 * b^{1.5[/tex]

Divide by 20

[tex]0.2 =b^{1.5[/tex]

[tex]b^{1.5} = 0.2[/tex]

Take 1.5th root of both sides

[tex]b = 0.34199518933[/tex]

[tex]b = 0.3[/tex] --- approximated

What is the approximate length of arc S on the circle below? Use 3.14 for pi. Round your answer to the nearest tenth.

Answers

224 is the times to were it’s put in the outside order inside of it
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