What is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.

Answers

Answer 1

The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

Given that,

The graphs of f(x) = 10x and its translation, g(x), are shown.

We have to determine,

What is the equation of g(x)?

According to the question,

The given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

[tex]\rm f(x) = 10^x[/tex]

To find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.

This means that the equation or the expression for the function g(x) is given by:

[tex]\rm g(x) = 10 ^{x-3}[/tex]

Substitute the value of x = 3 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]

Substitute the value of x = 4 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]

Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

For more details refer to the link given below.

https://brainly.com/question/13148696

What Is The Equation Of G(x)? G(x) = 10x "" 3 G(x) = 10x 3 G(x) = 10x "" 3 G(x) = 10x 3.
Answer 2

Answer:

the answer is a g(x)= 10x^-3

Step-by-step explanation:


Related Questions

help pleaseeeeeeeeeeeee​

Answers

Answer:

C

Step-by-step explanation:

if its not the same on both sides its not communitave. hope this helps

PLEASE HELP ME ASAP!!!!

Answers

Answer:

Subtraction property is the answer

Step-by-step explanation:

Mark brainliest please!

Find the roots of the equation: y^2-1/16=0

Answers

Answer:

1/4, -1/4

Step-by-step explanation:

Simply solve for y

find area of parallelogram multiple choice

refer to image.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP
MUST. give thoughtful explanation

Answers

In ∆ABD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]

In ∆BCD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]

Now

IN PARALLELOGRAM ABCD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]

Option A

PLEASE HELP!!!
A golfer hits a ball with an initial velocity of 32.7 m/s from the ground. Find the following (round all answers to 2 decimal places...no units):

When does the ball hit the ground? ___

What is the highest height the ball goes? ___

When does the ball reach its max height? ___

How high is the ball after 4.3 seconds? ___

When is the ball 24 meters off the ground? ___ and ___ (enter the smaller value first)

Answers

Answer: 1. it doesnt since the velocity is so high, it will land in the water.

2. the ball goes about 500 feet in the air.

3. the ball reaches its max height when it starts to go down

4. the ball is at 250 since it takes 8.6 seconds for it to reach 500 feet

Step-by-step explanation:

Are the given lines parallel? How do you know?

Y=0, x=1

And

X=-2, x=5

Answers

Answer:

those aren't limes, they're points.

Step-by-step explanation:

yeah-ya.......... right?

A pentagon has angle measures of 103°, 105°, 114° and 113°. What must the fifth angle measure?

Answers

Answer:

105°

Step-by-step explanation:

A pentagon has a total of 540°

103 + 105 + 114 + 113 = 435

540 - 435 = 105

I hope this helps!

May I please receive help?

Answers

Answer:

4.8 feet

Step-by-step explanation:

a² + b² = c²

a² + 11² = 12²

a² + 121 = 144

a² = 23

a = [tex]\sqrt{23}[/tex]

a, or the height of the kite ≈ 4.8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

You just need to multiply 12 ft by 11ft

Mrs. Owens had to call the local plumber to install a hot water heater. the equation y= 50x+75 is the relationship between his hours worked (x) and the amount of the bill (y).A. How much money did the plumber charge for the service call? How can you tell from the equation?B. How much is the plumber charging per hour? How can you tell from the equation?

Answers

Answer:

A. He charges 75 dollars for the service call because the y-intercept of the equation is 75.

B. He charges 50 dollars per hour because the slope of the equation is 50.

Step-by-step explanation:

What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.



37.7 feet
28.3 feet
113.0 feet
84.8 feet

Answers

Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.

Step-by-step explanation:

Esma has a box that is 20 cm wide 10 cm high, and 10 cm deep she wants to fill the box with packages that are 5 cm wide 2 cm high and 2 cm deep what is the greatest number of packages that she can put in the box with out it overfilling

Answers

Answer:

Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.

Step-by-step explanation:

708.97 as a fraction

Answers

Ok done. Thank to me :>

Un terreno Forma rectangular mide X +4 de alto y de base X +10 indica la expresión algebraica que expresa el área del terreno

Answers

Answer:

X^2+14x +40

Step-by-step explanation:

La base es x+4 y la altura es x+10 multiplicas la base por la altura

Find the EXACT distance between the two points.



(4,7) and (−4,9)

Answers

ANSWER: [tex]y=-\frac{3}{4} x +6 <=>3x=24-4y[/tex]

Ok done. Thank to me :>

Find the first three term if the general nth term is T = 2-n

Answers

Tn = 2n - 6

to find first term ,n= 1

substitute n for 1 in the equation

T1 = 2(1) - 6

T1 = 2 - 6 =-4

to find second term , n =2

substitute n for 2 in the equation

T2 = 2(2) - 6

T2 = 4 - 6 = -2

to find third term, n = 3

substitute n for 3 in the equation

T3 = 2(3) - 6

T3 = 6–6 = 0

FIRST TERM = -4

SECOND TERM = -2

THIRD TERM = 0

what are integer solutions to the equality below-2 < x < 2

Answers

Answer:

-1, 0, 1

Step-by-step explanation:

Intengers are whole numbers. those 3 numbers are the only intengers between -2 and 2

There are 5 groups of 5 pencils. Which number sentence can you use to find how many pencils there are in all

Answers

Answer:

5x5= 25

Step-by-step explanation:

whats the slope of (-5,-11) and (-2, 1)

Answers

I believe it’s .75 or 3/4

Answer:

4

Step-by-step explanation:

Pls help me sue tmr pls pls pals question 6

Answers

Answer:

Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%

135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%

so Ankita is 90% of the height of Nita

Step-by-step explanation:

Write the percent as a fraction or mixed number in simplest form.
31.25%


Please show work!

Answers

As a fraction the answer would be 5/16
See picture attached

1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?

Answers

Answer:

The expected value is -$126- you should not buy the warranty.

Step-by-step explanation:

You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.

E(x)= (2800-350)(.8)+(-350)(.92)= -126

convert each fraction to a decimal then a percent 4/25 3/11

Answers

Answer:

4/25=0.16=16%

3/11=0.27=27%

Step-by-step explanation:

. If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?​

Answers

✍ Question:

If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?​

✍ Answer:

>> If the class has 30 students and 20 girls then;

Boys = (30 - 20 = 10)

>> Therefore;

Percentage that are boys = (no.of boys/total students) x 10010/30 * 100 = 33.3%

#CarryOnLearning

- Happy Holidays -

The percentage of boys in the class is 33.3%

If the class has 30 students and 20 girls then;

Boys = (30 - 20 = 10)

Percentage that are boys = (no.of boys/total students) x 100

10/30 * 100 = 33.3%

What's percent in math?

The percentage is a relative fee indicating the hundredth component of any amount. One percentage (symbolized 1%) is one centesimal part; as a result, 100 percent represents everything and 2 hundred percent specifies twice the given amount. percentage. associated subjects: mathematics percentile.

Multiply the number by means of 100. If you are required to convert a decimal number like 0.57 to a %, you simply multiply it through one hundred. that is 0.57 x 100 = 57. therefore, 0.57 as a percent equals 57%.

Learn more about percentages here: https://brainly.com/question/843074

#SPJ2

Pairs of markings a set distance apart are made on highways so that police can
detect drivers exceeding the speed limit. Over a fixed distance, the speed R
varies inversely with the time T. In one particular pair of markings, R is 59 mph
when T is 4 seconds. Find the speed of a car that travels the given distance in 5
seconds.

Please answer!!!

Answers

R = k(1/T) = k/T

when R = 60, T = 8

60 = k/8

k = 480

R = 480/T

so when T = 6

R = 480/6 = 80 mph

The area of Chile is approximately 2*10^6 square kilometers the area Bosnia is approximately 9*10^4 square kilometers what is the area of the two countries

Answers

Answer:

2,090,000

Step-by-step explanation:

Area = Area of Chile + Area of Bosnia

Area of Chile = 2*1000000

Area of Bosnia = 9*10000

Area = 2,000,000 + 90,000

Area = 2,090,000

Answer:

Step-by-step explanation:

there total

= 2*[tex]10^{6}[/tex] + 9*[tex]10^{4}[/tex]

= 2*1,000,000 + 9*10,000

= 2,000,000 + 90,000

= 2,090,000

= 209*[tex]10^{4}[/tex]

= 2,09*[tex]10^{6}[/tex]

If you can buy four bulbs of elephant garlic for $8 how many can you buy with $32?

Answers

Answer:

16

Step-by-step explanation:

16

Step-by-step explanation:

32 ÷ 8 = 4

4 × 4 = 16

[tex] \\ [/tex]

KemberlyJ

Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought? x y = 15. 0. 5 x 0. 65 y = 9. 00 x = y. 0. 5 x 0. 65 y = 9. 00 x y = 9. 0. 5 x 0. 65 y = 15. 00 x = y. 0. 5 x 0. 65 y = 15. 0.

Answers

Answer:

x + y = 15

0.5x + 0.65y = 9

Step-by-step explanation:

x = number of oranges

y = number of apples

total of apples and oranges is 15 so x + y = 15

total cost of apples and oranges is $9 so 0.5x + 0.65y = 9

Calculation

y = 15 - x

0.5x + 0.65(15-x) = 9

0.5x - 0.65x + 9.75 = 9

-0.15x = - 0.75

x = 5

y = 15 - x = 15 - 5 = 10

There are 120 people at a party 1/3 of the people leave the party work out the number of people still at the party

Answers

Answer:

There is 80 people still at the party

Step-by-step explanation:

To find how many people are still at the party we first have to find how much 1/3 of 120 is.

∴120/3=40

then we subtract 1/3 of 120 from 120 to get the answer

120-40=80

1. A hat store tracks the state of college and professional team hats for m, months. The number of
college hats sold is represented by (6m+3). The number of professional hats sold is represented by
(5m-2). Write an expressions to show how many more college hats were sold than professional hats.
Then evaluate the expression if m equals 10.
NYS
2. Which expression is equivalents to the expression -3(4x-2)-
2x ? Explain the process you used to find your solution.
A. -8x
B. -16%
C. -14x-2
D. -14x + 6
3. A square scrapbooking page has a perimeter of (8x+20) inches. What is the length of one side of the
scrapbooking page? Show your work.

Answers

1)  The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]

when  [tex]m=10[/tex], [tex]15[/tex] more college hats were sold

2)  The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below

3) The length of one side of the square scrapbooking page will be

[tex](2x+5)\text{ inches}[/tex]. The working is shown below.

1)    According to the question, [tex]m[/tex] is the number of months hats were sold.

[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months

[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months

Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]

the expression representing how many more college hats were sold than professional hats is

[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]

when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and

[tex]m+5=(10)+5=15hats[/tex]

[tex]15[/tex] more college hats were sold in [tex]10[/tex] months

2)  To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below

remove brackets

[tex]-12x+6-2x[/tex]

arrange like terms

[tex]-12x-2x+6[/tex]

simplify like terms

[tex]-14x+6[/tex]

The answer is (D)

3)  Let the length of one side of the square be [tex]s[/tex]

The perimeter will be  

[tex]4s=8x+20[/tex]

making [tex]s[/tex] the subject of the formula

[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]

Learn more about word problems here: https://brainly.com/question/17067890

Help Me On These 3 Please

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{6}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{6}[/tex] ) ≈ 41.8° ( to the nearest tenth )

(2)

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{29}{14}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{29}{14}[/tex] ) ≈ 64.2° ( to the nearest tenth )

(3)

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{25}{40}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{25}{40}[/tex] ) ≈ 51.3° ( to the nearest tenth )

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