What transformations are applied to the graph of the function f(x)=10^x to produce the function g(x)=3(10)^x-2


A.) a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units

B.) a vertical dilation by a factor of 1/3 and a horizontal shift to the right 2 units

C.) a vertical dilation by a factor of 1/3 and a vertical shift down 2 units

D.) a vertical dilation by a factor of 3 and a vertical shift down 2 units

Answers

Answer 1

Answer:

D) A vertical dilation by a factor of 3 and a vertical shift down 2 units

Step-by-step explanation:

Given

f(x)=10^xg(x)=3(10)^x - 2

We see that:

g(x) = 3f(x) - 2

This is a vertical stretch by a factor of 3 and translation down 2 units

Correct choice is D


Related Questions

If Laura were able to find a 0 iron, about how far could she hit it?​

Answers

Answer:

I got 219 but I'm not sure that's the answer.

Step-by-step explanation:

Can you help me please I’ll mark you brainliest

Answers

Answer:

4

Step-by-step explanation:

Since its a 45-45-90 triangle then the 2 legs are going to be the same.

Answer:

90°

Step-by-step explanation:

Always remember that the sum of all angles is 180°.

So there are two 45° angles, so just add them up and you get 90

So if you subtract 90 from 180, you get 90, and that's your answer

PLEASE HELP ME

Which situation can be represented by this equation?


6 + 0.50x = 26

Anne earns money walking dogs. She charges $6 per walk plus $0.50 per dog. What is x, the amount of money Anne charges to take one dog on 26 walks?


Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?



Anne earns $6.50 per hour for babysitting. What is x, the number of hours Anne babysits if she earns $26?



Anne earns $6.50 per hour for babysitting. What is x, the number of hours Anne babysits if she earns $26?

Answers

Answer:

Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?

Step-by-step explanation:

Answer:

it the second situation mate

Step-by-step explanation:

hope i helped you amd it is correct..


Guests at a campground can stay in a teepee
shaped like the rectangular pyramid shown. If
the height of the teepee is 18 feet, find the total
volume of the teepee.
10 feet
15 feet

Answers

Answer:900ft

Step-by-step explanation: v=l×w×h/3 =15×10×18/3=900

35 POINTS PLEASE HELP ME. Tell whether each triangle with the given side lengths is a right triangle.
11, 60, 61

Answers

Answer:

Step-by-step explanation:

no not right angle

Of the last 20 contestants on a game show, 8 won a prize what is the experimental probability that the next contestant will win a prize?

Answers

Answer:

2/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

probability that the next contestant will win a prize = number of contestants that won in the last games / total number of contestants in the last games

8/20

To transform to the simplest form. divide both the numerator and the denominator by 4

2/5

You are making a fruit salad for a family dinner and only have $32 to spend making it. Grapes(x) cost $4 per pound and watermelon(y) cost $2 per pound.

Model the problem situation with a linear inequality.

Answers

Answer:

this is easy. you just need to write and equation that shows how many pounds of each fruit you can buy in total (x for 1 pound of grapes and y for 1 pound of watermelon). this would make the equation 32 = 4x + 2x.

Michelle invests $1000 at a bank offering 3% compounded quarterly.

Answers

Answer:

A = 1000(1 + .03 /4)4t

Explanation:

The money invested is the principal that is $ 1000.

The quarterly interest = 3/4 = 0.75 %

Assuming the number of years the money invested was x, then the interest period (n) will be 4 x (quarters)

Using the formula, A = P (1 + r/100)∧n

Therefore, the growth of the investment will be given by

1000( 1.0075)∧n, where n is the interest period.

Help me for Brainlyiest ong provide proff

Answers

Answer:

5-(-7)=5+7

Step-by-step explanation:

When there are two negative signs, that means it switches into a plus sign.

If this helps please mark as brainliest would really appreciate it

Choose the correct equation

Answers

Answer:

A: 160+12m=400

Step-by-step explanation:

i am very smart just trust me on this one

Answer:

a

Step-by-step explanation:

Write a ratio and a percent for the shaded area.




6/100 - 60%

6/10 - 60%

12/20 - 60%

36/100 - 36%

Answers

I’m pretty sure it’s 36/100 - 36% since there are 100 boxes and 36 of them are shaded

The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph: A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 16, 32, 48, 64, 80, 96. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 1, 16. The second straight line joins 1,16 and 4,16, and the third straight line joins ordered pair 4,16 with the ordered pair 5,48.


Which of the following best describes the motion of the car that is shown?

A) It travels for 1 hour, then stops for 3 hours, and finally travels again for 2 hours.

B) It travels for 1 hour, then stops for 3 hours, and finally travels again for 5 hours.

C) It travels for 1 hour, then stops for 4 hours, and finally travels again for 5 hours.

D) It travels for 1 hour, then stops for 3 hours, and finally travels again for 1 hour.

Answers

Answer:4

Step-by-step explanation:because 4

Answer:

its D i just did the test

Step-by-step explanation:

√-1
factor completely without any 'i'

Answers

Answer:

the root of -1 is -1

Step-by-step explanation:

When multiplied by itself, the root is typically a specified number of times gives a specified number or quantity. So -1 × -1 = -1

So there you go

Show that each statement is false by providing a comterexample

Answers

Answer:

Step-by-step explanation:

One

Length = 16

Width = 1

Two

<P = 120

<Q = 30

<R = 30

Three

xy = 45

yz = 1

Four

<1 = 45

<2 = 45

Triangle IJK, with vertices I(-9,-8), J(-5,-6), and K(-7,-3), is drawn on the coordinate grid below.

Answers

Answer:

[tex]Area= 8[/tex]

Step-by-step explanation:

Given

[tex]I = (-9,-8)[/tex]

[tex]J = (-5,-6)[/tex]

[tex]K = (-7,-3)[/tex]

The complete part of the question is to calculate the area of IJK

The area is calculated using:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3 |[/tex]

Where:

[tex]I = (-9,-8)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]J = (-5,-6)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]K = (-7,-3)[/tex] --- [tex](x_3,y_3)[/tex]

So, we have:

[tex]Area = \frac{1}{2}|(-9*-6) - (-5*-8) + (-5*-3) - (-7*-6) + (-7*-8) - (-9*-3) |[/tex]

Solve the brackets

[tex]Area = \frac{1}{2}|54 - 40 + 15- 42 + 56 - 27 |[/tex]

[tex]Area = \frac{1}{2}|16|[/tex]

The absolute value of 16 is 16

So:

[tex]Area = \frac{1}{2} * 16[/tex]

[tex]Area= 8[/tex]

You have 4 blue shirts, 6 white shirts,
2 green shirts, and 6 red shirts.
What is the probability of selecting a BLUE
shirt from your dresser?

Please help me!! I’ll give you brainliest if you give me a good answer :(

Answers

Answer:

4.5%

Step-by-step explanation:

please help! rate of change solving for Y, linear relationships

Answers

7ft/yr, it keeps going up by 7

machine K and J were both serviced this week.
-Machine K is serviced every 6 weeks
-machine J is serviced every 8 weeks
what is the fewest numbers of weeks that will pass before both machines are serviced again in the same week?

Answers

Answer:

the 3rd raikages will

Step-by-step explanation:

PLSSSS HELP MEEE WITH THISSSS

Answers

Answer:

x=-6 y=-26

Step-by-step explanation:

in the first is -4 every time, in the second is -20 every time

HELP PLS!!!!!
A company produces individually wrapped spherical cookies. The minimum amount of wrapping material needed to
cover a cookie, assuming no edges overlap, is 314 square inches. What is the diameter of one cookie?
5 in
10 in
20 in
25 in

Answers

Answer:

10 in

Step-by-step explanation:

r^2= 314/3.14

r^2=100

r=10 in

hope i helped!

A company sells fruit smoothies in two sizes: 6 ounces and 20 ounces. You know that a 6-ounce bottle contains 96 milligrams of sodium. If the amount of sodium is directly proportional to the fluid ounces of smoothie, how many milligrams of sodium does a 20-ounce bottle contain?

And can yall put an explanation please

Answers

Answer:

320 milligrams of sodium

Step-by-step explanation:

Create a proportion where x is the milligrams of sodium a 20 ounce bottle has:

[tex]\frac{96}{6}[/tex] = [tex]\frac{x}{20}[/tex]

Cross multiply and solve for x

1920 = 6x

320 = x

So, a 20 ounce bottle will have 320 milligrams of sodium

HELP ME PLZ!!! This is too hard

Answers

Answer:

The solution of this trigonometric identity is [tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].

Step-by-step explanation:

Let [tex]7\cdot \tan \theta - 8 = 5\cdot \tan \theta -5[/tex], we proceed to simplify the expression and solve afterwards either by algebraic or by trigonometric means:

[tex]7\cdot \tan \theta -8 = 5\cdot \tan \theta -5[/tex]

[tex]2\cdot \tan \theta = 3[/tex]

[tex]\tan \theta = \frac{3}{2}[/tex]

[tex]\theta = \tan^{-1} \frac{3}{2}[/tex]

The tangent is a trigonometric function with a period of 180°. Hence, we find that the family of angles associated with such value is:

[tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

What is the relationship between the number of sides of the base of a prism and the number of lateral faces? The number of sides of the base of a prism is less than the number of lateral faces. The number of sides of the base of a prism and the number of lateral faces is equal. The number of sides of the base of a prism is greater than the number of lateral faces. There is no consistent relationship between the number of sides of the base of a prism and the number of lateral faces.

Answers

Answer:

Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.

The number of sides of the base of a prism and the number of lateral faces is equal.

What is a prism?

A prism is a three-dimensional object with two congruent and parallel faces, called the bases and it encloses the space between the bases. Every cross-section parallel to the base of a prism is congruent to its base.

How do we solve the given question?

In the question, we are asked to tell the relationship between the number of sides of the base of a prism and the number of lateral faces.

We let the number of sides of the base of the prism be s, and let the number of lateral faces of the prism be f.

We know that a prism has two parallel and congruent bases and every corresponding side of the base are connected by a pane. These planes are the lateral faces of the prisms. As each corresponding pair of sides is connected by one lateral face, the number of the lateral face is equal to the number of sides of the base.

∴ The number of sides of the base = The number of lateral faces of the prism

or, s = f.

∴ We can say that the number of sides of the base of a prism and the number of lateral faces are equal.

Learn more about prisms at

https://brainly.com/question/1297098

#SPJ2

Find the value of each trigonometric ratio to the nearest ten-thousandth

Answers

10,000 and yeah it’s 10,000 rounded to the newest ten

PLEASE HELP The diameter D of a sphere is 19 m. Calculate the sphere's surface area A.
Use the value 3.14 for at, and round your answer to the nearest tenth.

Answers

Answer:

A = 1,133.5 m³

Step-by-step explanation:

Surface area of a sphere, A = 4πr²

π = 3.14

Radius, r = diameter / 2

= 19 m / 2

= 9.5 m

Surface area of a sphere, A = 4πr²

A = 4 * 3.14 * (9.5)²

= 4 * 3.14 * 90.25

= 1,133.54

A = 1,133.54 m³

To the nearest tenth

A = 1,133.5 m³

Give an example of a number that has many factors and an example of a number that has few factors.....​

Answers

Answer:

42: 1, 2, 3, 6, 7, 14, 21, 42

43: 1, 43

Step-by-step explanation:

(5-2i)(1-3i) solve in steps

Answers

Foil
5*1-5*3i-1*2i+2i*3i
5-15i-2i+6i^2
Remember i^2=-1
5-15i-2i+6(-1)
5-15i-2i-6
Combine like terms
-1-17i

Write the decimal as a percent

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

66%

Step-by-step explanation:

0.6 repeating is 66%.

From decimal to percent:

To get a percent from a decimal number, move the decimal over twice to the right. In this case, 0.66 would become 66% because the decimal moved to the right twice.

From decimal to fraction to percent:

I already know that 2 divided by 3 is 0.6 repeating. 2 divided by 3 could also be written as [tex]\frac{2}{3}[/tex]. So the first step is complete, from the decimal 0.6 repeating to the fraction [tex]\frac{2}{3}[/tex]. Now from [tex]\frac{2}{3}[/tex] to a percent. If you get a 2 out of 3 ([tex]\frac{2}{3}[/tex]) you would get a 66%.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

If the dimensions of the following cylinder are quadrupled, what will be the surface area of the new similar cylinder?

13,816 in. 2
85,106.56 in. 2
6,908 in. 2
27,632 in. 2. I WILL GIVE BRAINLIEST!

Answers

Answer:

27,632

Step-by-step explanation:

In the comments that is the answer to the next question but the answer for this question is 27632 in.^2

Acellus
Find the area of the following
parallelogram:
1.5 cm
2.5 cm
2.25 cm
A= [?] cm?
Enter the exact answer as a decimal.
Enter

Answers

Answer:

Question:

Find the area of the following

parallelogram:

1.5 cm

2.25 cm

Solution:

[tex] \huge\fbox\purple{Area = Product of the given 2 sides}\ [/tex]

(1.5×2.25)cm²= 3.375 cm²

Hope it helps

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

Step-by-step explanation:

[tex]3.375 \: {cm}^{2} [/tex]

I hope it helps

have a great day

#Captainpower

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