Which is the graph of f(x)=3^x

Which Is The Graph Of F(x)=3^x

Answers

Answer 1

The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.

How to determine the graph associated with a given function

In this question we must compare a given exponential function with a set formed by four functions. As the function is crescent and monotonous, then  we can choose the correct graph by a evaluating the function for a given x-value and find the graph that matches with such finding:

f(5) = 3⁵

f(5) = 243

The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.

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Related Questions

Ivan bought a suit on sale for $152. This price was 60% less than the original price.
What was the original price?

Answers

Answer:  $380

Work Shown:

x = original price in dollars

x - 60% of x = x - 0.60x = 0.40x = sale price in dollars

0.40x = 152

x = 152/0.40

x = 380

the time taken, t, for a journey of fixed distance is inversely proportional to the average speed of travel, s. If the journey takes 2 hours 15 minutes travelling at an average speed of 50km/hour, how long will it take if the average speed is 27km/hour. Give your answer in hours and minutes​

Answers

[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]

4 hours 12 minutes

Step-by-step explanation:

We need to convert time in hours by diving 15 by 60

[tex] \sf 2 \frac{15}{60} \\ \\ \sf 2 \frac{1}{4} [/tex]

as it is mixed fraction we will convert into improper

[tex] \sf \frac{(2 \times 4) + 1}{4} \\ \\ \sf time = \frac{9}{4} hours[/tex]

Now we need to find distance

[tex] \sf \green {distance = speed \times time}[/tex]

Here speed is 50km/h

[tex] \sf \implies distance = 50 \times \frac{9}{4}km \\ \\ \sf \implies distance = \frac{25 \times 9}{2}km \\ \\ \sf \implies distance = \frac{225}{2} km \\ \\ \sf \implies \red {distance = 112.5km}[/tex]

Now we have to have time at new speed at 27km/h

and distance is same

[tex] \sf \pink{ time = \frac{distance}{speed} }[/tex]

Now substituting the value of speed and distance

[tex] \sf \implies time = \frac{112.5}{27} [/tex]

Now we will remove point(.) from the distance by multiplying 10 with 27

[tex] \sf \implies time = \frac{1125}{27 \times 10} \\ \\ \sf \implies time = \frac{41.6}{10} [/tex]

now we will convert it into mixed fraction

[tex] \sf \implies time = 4 \frac{1}{5} hours [/tex]

Now we will convert fraction hours into minutes by multiply with 60

[tex] \sf \implies time = 4 \: hours \: \frac{1}{5} \times 60 \: minutes \\ \\ \sf \implies \orange{ time = 4 \: hours \: 12 \: minutes}[/tex]

The first three terms of an arithmetic progression are 2x, x+4, 2x - 7 respectively.
a. Find the value of x
b. Find the three terms
(6 m
c. What is the common difference?

Answers

Answer:

a)  x = 7.5

b)  15,  11.5,  8

c)  -3.5

Step-by-step explanation:

As there is a common difference between consecutive terms of an arithmetic progression, then:

[tex]a_3-a_2=a_2-a_1[/tex]

Given:

[tex]a_1=2x[/tex][tex]a_2=x+4[/tex][tex]a_3=2x-7[/tex]

Therefore:

[tex]\implies a_3-a_2=a_2-a_1[/tex]

[tex]\implies (2x-7)-(x+4)=(x+4)-2x[/tex]

[tex]\implies 2x-7-x-4=x+4-2x[/tex]

[tex]\implies x-11=-x+4[/tex]

[tex]\implies 2x=15[/tex]

[tex]\implies x=7.5[/tex]

Inputting the found value of x into the term expressions to find the three terms of the arithmetic progression:

[tex]a_1=2(7.5)=15[/tex][tex]a_2=(7.5)+4=11.5[/tex][tex]a_3=2(7.5)-7=8[/tex]

The common difference (d) is the difference between each consecutive term.  To find the common difference, subtract one term from the next term:

[tex]\implies d=a_3-a_2= 8 - 11.5 = -3.5[/tex]

[tex]\implies d=a_2-a_1= 11.5-15 = -3.5[/tex]

Therefore, the common difference is -3.5

What is the equation of the circle with a radius of 7 and center at (6, -5)?
A (x + 6)2 + (y - 5)2 = 49
B (x - 6)2 + (y + 5)2 = 7
C (x + 6)2 + (y - 5)2 = 7
D (x - 6)2 + (y + 5)2 = 49

Answers

Answer:

D is the equation of the circle

Evaluate 52+[x divided3] when x=15

Answers

Answer: A. 30

Step-by-step explanation:

    We will plug the value of x, 15, into the given expression. Then, we will use the order of operations, also known as PEMDAS. View attached if you need a review.

5² + (x / 3)

5² + (15 / 3)

25 + (5)

30

      A. 30

Find the volume of a cylinder 9in 9in

Answers

Answer:

2290.22

Step-by-step explanation:

Formula: V=pi*r^2*h

Plug in the values:

V=pi*81*9

81*pi=~254.469

~254.469 * 9 = 2290.22

you take out a cash advance of

Answers

Answer:

$0

Step-by-step explanation:

Since there is no useful data in this question, we will fill in the blanks with what we know:

Amount of cash taken: $0

Therefore, you have taken a cash advance of $0

LOL

Suppose that y varies inversely with x where x=4 and y=5. Solve for the constant
k and find the value of y when x=11

Answers

First you need to find the constant

What is the radius of a cone that has a lateral area of 70TT and a total surface area of 120TT?

A)50 units
B)50TT units
C)7.1 units
D)7.117 units

Answers

Step-by-step explanation:

the lateral area of the cone is, well, the lateral area.

the total surface area of the cone is the lateral area plus the area of base circle.

so, the difference between both is the area of the base circle :

120pi - 70pi = 50pi

the area of a circle is

pi×radius²

and that is in our case

pi×radius² = 50pi

radius² = 50

radius = sqrt(50) = 7.071067812... ≈ 7.1 units

therefore, C is the right answer.

A delicatessen makes a roast-beef-on-sourdough sandwich for which you can choose from eight condiments. a. How many different types of roast-beef-on-sourdough sandwiches can the delicatessen prepare? b. What is the minimum number of condiments the delicatessen must have available if it wishes to offer at least 1000
different types of roast-beef-on-sourdough sandwiches?

Answers

Analyzing the information, it is clear that to find the solutions of the problems it is necessary to perform the calculation of mathematical arrangements.

What are arrangements?

Correspond to a case of permutations, they are groupings that are formed with a number p of elements from a set of n elements. The elements of p must occupy ordered positions, where p ≤ n. The formula is:

A = n!/(n-p)!

So, to solve the problems we do the following calculations:

A) 2^n =

2^8 = 256

B) We must pay attention to the statement, which asks for the minimum number of condiments required to prepare 1000 different sandwiches, so:

2^n [tex]\geq[/tex] 1000

n = 3

2^3 = 8

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A cylinder has a base diameter of 6 cm and a height of 18 cm. What is its volume in cubic centimeters to the nearest tenths place?

Answers

Answer:

108 cm that my answer

sana makatulong

The answer is 508.9 cubed

108cm cubed is wrong


Masud rode his bike 48 miles in 6 days. He rode the same number of miles
each day. How many miles did he ride each day?
A 7
B 8
C 9
D 42

Answers

B 8 because 8x6 is 48

Select the correct answer.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
A. There is exactly one solution.
B. There is no solution.
C. There are infinitely many solutions.
D. The lines in a system cannot graph as the same line.

Answers

Answer:

c! :))

Step-by-step explanation:

i cant exactly remember how  to explain it step by step, but all i remember is that i took a similar test not too long ago that had the same question!

Answer:

C. There are infinetly many solutions.

Step-by-step explanation:

A system of linear equations has infinite solutions when the graphs are the exact same line.

Use this information to answer the questions.

You are helping plan your sister's wedding. You decide to help set up a night to prepare the decorations and gift bags, but worry it all won't get done and you will be stuck doing the rest by yourself. Use the information below to help you know how long it will take to get everything done.

Question 1: You plan to have 2 people work on each task. How would you pair them up to complete each task in the shortest amount of time? Explain using rational expressions.

Question 2: What is the shortest amount of time it would take to complete all the tasks? If you know people have to leave your house by 9pm, what time should they come over to get started? Explain using rational expressions.

Answers

The best pairing to complete the task in the shortest amount of time is You and Aunt 1 and it would take them 30 minutes.

What is the Shortest Amount of Time?

This represents the fastest time it takes for a person to execute a task.

The time needed for all tasks for You is:

2.5 + 5 + 1.5 = 9 hours

The time needed for all tasks for Aunt 1 is:

1.5 + 4 + 3= 8.5 hours.

9 - 8.5 = 0.5 hours

= 30 minutes

The shortest amount of time to complete all tasks is 8.5 hours by Aunt 1

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Need Help please 3rd time posting this.

Answers

Bottom-edgeis 10 cm: 2 ft(30.48cm)
Side-edge is 20 cm : 4 ft(60.96cm)
Poster Area needed = (30.48*60.96)=1858cm2
Paper size = 10*20=200cm2
Need papers= 1858/200=9.3 ~10
.: 10 papers is needed for actual poster.

Help me please

1,894.32 minus 396.00

Answers

Answer:

1,498.32

Step-by-step explanation:

1,894.32 - 396.00 = 1,498.32 You subtract 396 from 1,894.32

Need help for this please

Answers

Answer:

The area of the circle is approximately 154 square meters

Step-by-step explanation:

Area of a circle formula: [tex]A = \pi r^{2}[/tex]

given:

- diameter = 14m

- pi = 22/7

[tex]radius (r) = diameter/2 = 14/2 = 7\\A = 22/7*(7)^2\\A = 22/7*(49)\\A = 154[/tex]

Find the perimeter of the figure below
Perimeter=

Answers

 ‎‎‎‎ ‎ ‎ ‎ ‎‎ ‎‎‎‎ ‎‎       ‎      ‎      ‎      ‎     ‎    ‎    ‎   ‎

Answer is 30ft.


To see the steps, please see the attachment below.

suppose y is directly proportional to x and y=40 when x=10 find y if x=16

Answers

Answer:

64

Step-by-step explanation:

16/10=1.6 and 1.6x40=64

Answer: y = 64

Step-by-step explanation:

[tex]$$Given, \\$y$ is directly proportional to $x$ \\$\Rightarrow y \propto x$ (Note: ' $\alpha$ ' be proportion/various sign) \\$\Rightarrow y=k x$ ( $k$ be the constant) \\$\therefore y=k x-$ (1)[/tex]

[tex]$$Given $y=40$ when $x=10$.So, substitute $y=40 \ \& \ x=10$ in (1) we get,$$\begin{aligned}&\Rightarrow 40=k(10) \\&\Rightarrow 10 k=40 \\&\Rightarrow k=\frac{40}{10} \text { (divide '10' both sides) } \\&\Rightarrow k=4\end{aligned}$$[/tex]

[tex]$$Put $k=4$ in (1) we get,$$y=4 x$$We substitute $x=16$ in (2) we get$$\begin{aligned}y &=4(16) \\\Rightarrow y &=64 \\\end{aligned}$$[/tex]

Find the equation of the perpendicular line, to the line: y=2x+4

Answers

Answer:

y = -1/2 x + 4

Step-by-step explanation:

y = 2x + 4    

Since this equation is in slope-intercept form, the slope of the line is 2.  Perpendicular lines have slopes that are negative reciprocals of each other.  Thus, the slope of a line perpendicular to this line would be -1/2.

So, any equation of the form y = -1/2 x + b

it does not matter what the y-intercept of either line is. They will remain perpendicular as long as their slopes are negative reciprocals.

In the whole number 70,819 the place value of the digit 1 is

Answers

Step-by-step explanation:

a number is a sequence of digits with every position being multiplied by increasing powers of 10.

and the whole number is then the sum of of these little multiplications.

the first position left of the decimal point is for 10⁰ (1). the second position is 10¹ (10). the third position for 10² (100). and so on.

the given number is therefore just the short version of

7×10⁴ + 0×10³ + 8×10² + 1×10¹ + 9×10⁰

and therefore, the digit 1 in this number has the value 1×10¹ = 10, which is also the place value, 10¹ = 10.

In October 2017 a pound of apples cost $1.55, while oranges cost $1.19. Two years earlier the price of apples was only $1.34 a pound and that of oranges was $1.05 a pound. What was the annual compound rate of growth in the price of apples

Answers

The annual growth rate in the price of the apple will be 7.83%.

What is the growth rate?

The growth rate is defined as the increment of any quantity over a period of time.

Given that:-

In October 2017 a pound of apples cost $1.55, while oranges cost $1.19.Two years earlier the price of apples was only $1.34 a pound and that of oranges was $1.05 a pound.

The growth rate will be calculated as::-

Growth rate =  Cost in 2017  /  Cost in 2015

Growth rate =  1.55  /  1.34  =  1.15

The growth rate will be 15.67% for the apple in 2 years so for 1 year it will be

15.67 / 2 = 7.8%

Therefore the annual growth rate in the price of the apple will be 7.83%.

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A recipe of chocolate chip cookies need 28 oz of oil for every 44 cups of flower. Approximately how many ounces of oil do you need for 89 cups of flower?

Type your answer to the nearest whole ounce

Answers

Answer:

57 ounces

Step-by-step explanation:

He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.

help will mark Brainliest​

Answers

Answer:

10

explanation:

What is the value of x

Answers

Answer:

  x = 25

Step-by-step explanation:

The measure of an inscribed angle in a circle is half the measure of the arc it subtends. The acute angles in a right triangle are complementary.

__

Inscribed angle CAD is half the measure of arc CD, so is 80°/2 = 40°.

Acute angle 2x° is the complement of angle CAD in the right triangle shown, so we have ...

  2x° = 90° -40° = 50°

  x = 25 . . . . . . . . . . . . divide by 2°

three times the sum of x and y is increased by 5​

Answers

Answer:

Here is the answer .Please mark as brainliest pls

hope its help you

Step-by-step explanation:

3(x+y)+5=0

3x+3y+5=0

or,

3x+3y= -5

Answer:

3*(x+y) + 5

Step-by-step explanation:

This is an mathematical  expression....it isi NOT an equation...the question does NOT say this is equal to zero (or anything else)

it is this     3 (x+y)   + 5    or   3x + 3y + 5

Find the domain in the following
Y=2x+5

Answers

Answer

All real numbers or (-∞, ∞)

Step-by-step explanation:

There aren't any X values that can make this linear equation output an invalid results, so we can deduce that the domain is all x values.

Answer:

All Real Numbers

Step-by-step explanation:

The Domain for a function simply is all the possible x values.

When graphing this function, you'll realize that it's continuous and passes all x values.

Additionally, when looking at it, you'll realize you can input any number of your choosing.

When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.

For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.

Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.

Hope that helps, please let me know if you have any queries.

What is 75% of 99. Round your answer to the nearest hundredths.

Answers

The Answer Is 74.25 it’s really not that hard you have to divide

Answer: 74.25

Step-by-step explanation:

75% ÷ 100 = 0.75

0.75 * 99

= 74.25

The area of a rectangle is 1,036 cm and its length is 74 cm.
Find (i) its breadth (ii) its perimeter​

Answers

Answer:

(i) Breadth = 14 cm

(ii) Perimeter = 176 cm

Step-by-step explanation:

Given,

Area of a rectangle = [tex]1036[/tex] cm²Length = [tex]74[/tex] cm

(i) Breadth = ?

We know that, Area of a rectangle = length × breadth.

Then,

[tex]1036 = 74 \times Breadth\\1036 \div 74 = Breadth\\\boxed{\bf\:14 \:cm = Breadth }[/tex]

(ii) Perimeter of a rectangle = 2 (length + breadth)

Then,

[tex]Perimeter = 2(74 + 14)\\Perimeter = 2(88)\\\boxed{\bf\: Perimeter = 176 \: cm}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Helllppppppp I can’t figure this out

Answers

Answer:

Step-by-step explanation:

2x^2 + 9x + 4=0

2x^2+8x+x+4=0

2x(x+4) +1 (x+4) =0

2x+1 = 0

x+ 4 =0

2x= -1

x= -1/2

x=-4

Therefore x = -4 and x = -1/2

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