Consider the graph of the function f(x)=2x.
Which statement describes a key feature of
function g if g(x) = 2f(x)? Answers:
A. y-intercept at (0,2)
B. y-intercept at (2,0)
C. horizontal asymptote of y = -2
D. horizontal asymptote of y = 2

Answers

Answer 1

Given:

The parent function is:

[tex]f(x)=2^x[/tex]

The other function is:

[tex]g(x)=2f(x)[/tex]

To find:

The statement that describes a key feature of function g.

Solution:

We have,

[tex]f(x)=2^x[/tex]

[tex]g(x)=2f(x)[/tex]

Using these two functions, we get

[tex]g(x)=2(2)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]g(x)=2(2)^{(0)}[/tex]

[tex]g(x)=2(1)[/tex]

[tex]g(x)=2[/tex]

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.


12.4 in

3.1 in

16.7 in

11.2 in

Answers

Answer:

3.1 in

Step-by-step explanation:

a² + b² =c²

12=c

11.6=b

c²- b² = a²

12²-11.6²= 9.44

√9.44 = 3.07 Rounded = 3.1 in

For the equation y=2x + 6, find the value of y when
(a) x= 0 (b) x= 1
(c) x=2 (d) x=3

WITH CALCULATION AND EXPLANATION PLEASE.FULL CALCULATION

Answers

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \mathrm{ \underbrace{Answer}}[/tex]

The given equation is :

[tex] \huge \boxed{ y = 2x + 6 }[/tex]

Now, let's solve for each value of "x"

[tex]\mathrm {\hookrightarrow \:1. \: \: when \: \: x = 0}[/tex]

[tex]y = 2x + 6[/tex][tex]y = (2 \times 0) + 6[/tex][tex]y = 6[/tex]

[tex]\mathrm{\hookrightarrow 2.\: \: when \: \: x = 1}[/tex]

[tex]y = 2x + 6[/tex][tex]y = (2 \times 1) + 6[/tex][tex]y = 2 + 6[/tex][tex]y = 8[/tex]

[tex]\mathrm {\hookrightarrow \: 3. \: \: when \: \: x = 2}[/tex]

[tex]y = 2x + 6[/tex][tex]y = (2 \times 2) + 6[/tex][tex]y = 4 + 6[/tex][tex]y = 10[/tex]

[tex]\mathrm{\hookrightarrow \: 4. \: \: when \: \: x = 3}[/tex]

[tex]y = 2x + 6[/tex][tex]y = (2 \times 3) + 6[/tex][tex]y = 6 + 6[/tex][tex]y = 12[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Equation = [tex]\large\bold{y = 2x + 6}[/tex]

a) [tex]x = 0[/tex]

Substitute the value of x as 0 in the equation.

[tex]y = 2x + 6 \\ y = 2(0) + 6 \\ y = 0 + 6 \\ y = 6[/tex]

Answer of a) is [tex]\large\bold{y = 6}[/tex]

____________________

b) [tex]x = 1[/tex]

Substitute the value of x as 1 in the equation.

[tex]y = 2x + 6 \\ y = 2(1) + 6 \\ y = 2 + 6 \\ y = 8[/tex]

✐ Answer of b) is [tex]\large\bold{y = 8}[/tex]

____________________

c) [tex]x = 2[/tex]

Substitute the value of x as 2 in the equation.

[tex]y = 2x + 6 \\ y = 2(2) + 6 \\ y = 4 + 6 \\ y = 10[/tex]

✐ Answer of b) is [tex]\large\bold{y = 10}[/tex]

____________________

d) [tex]x = 3[/tex]

Substitute the value of x as 3 in the equation.

[tex]y = 2x + 6 \\ y = 2(3) + 6 \\ y = 6 + 6 \\ y = 12[/tex]

✐ Answer of d) is [tex]\large\bold{y = 12}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Help is needed please

Answers

Answer:

A

Step-by-step explanation:

Hope this helps!

Where would the last point need to be in order to finish graphing a square using the points (1, 3), (5, 3), and (5, 7)?
A. (1, 5)
B.(5, 1)
C.(3, 7)
D.(1, 7)

Answers

the answer is D. (1,7)

what equation do I use to find the apothem?

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Round 31.24 to 1 decimal place

Round 5.275 to 2 decimal place

Round 0.56489 to 3 decimal place

Answers

Answer:

1. 31.2

2. 5.28

3. 0.565

Step-by-step explanation:

Remember if the number is 1-4 round down and if the number is 5-9 round up.

Hope this is helpful

#happylearning

what is the value of 642/3?

Answers

Step-by-step explanation:

[tex] \frac{642}{3} \\ [/tex]

= 214

Answer:

[tex]214[/tex]

Step-by-step explanation:

[tex] \frac{642}{3} [/tex]

[tex] = 642 \div 3 \\ = 214[/tex]

Hope it is helpful...

a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x - 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.​

Answers

Answer:

The area of flower bed is 8.96 m^2.

Step-by-step explanation:

Length of lawn = 6 x

width of lawn = x

length of flower bed = x + 4

width of flower bed = x - 1

Area of shaded region = 40 m^2

Area of the shaded region

6 x (x) - (x +4)(x -1) = 40

[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]

As length cannot have negative value, so x = 2.4 m.

Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2

At a football game, the ratio of men to women is 4:1 There are 9,000 people in total, and each ticket costs £10 Calculate the amount of money made from tickets sold to men. Remember to include units ( £ ) in your answer.

Answers

Answer:

£72000

Step-by-step explanation:

According to the Question,

Given, At a football game, the ratio of men to women is 4:1 & There are 9,000 people in total

Thus, 5 ⇒ 9000 People

So, 4 ⇒ 7200 People(Men)

      1 ⇒ 1800 People(Women)

And, each ticket costs £10

Thus, The amount of money made from tickets sold to men is 7200 total Men x £10 Per Ticket Cost ⇒ £72000.

Help me this is due soon

Answers

Answer:

It's (-1.5,-5.5)

Step-by-step explanation:

Answer:

-1.5 , -5.5

Step-by-step explanation:

1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n simplify
A. 5.5n – 1/2p – 2
B. 9.5n + 1.5p – 2
C. 9/4n − 1.5p − 4
D. 3.75n – p + 1

Answers

[tex]\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n [/tex]

Combining like terms, we have

[tex] = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Select the correct answer.
You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many
triangles can you construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many

Answers

Answer:The answer is B

Step-by-step explanation:

Find the range and the interquartile range of the given data set.
2, 4, 7, 8, 16, 19, 21

Answers

The range for the data given is 11

what is 2/3 of 4 hours and 30 minutes?

Answers

The answer is 3 hours

you can use the expression 5n to determine the amount of money you have in cents, when you have n nickels. Find the amount of money you have, in cents, when you have 18 nickels

Answers

Answer:

90 cents

Step-by-step explanation:

Find how much money you have by plugging in 18 as n into the expression:

5n

5(18)

Multiply:

= 90

So, when you have 18 nickels, you have 90 cents

Alex bought 2 printer cartridges for $28 each and a printer for $85. He gave the cashier $150. How much change should Alex have received from the cashier?

Answers

Answer:

$9 in change

Step-by-step explanation:

Find the total cost of his purchases:

28 + 28 + 85

= 141

Find how much change he received by subtracting this from 150:

150 - 141

= 9

So, he should have received $9 in change

It takes Amir 30 minutes to walk to work. If he drives, it takes him 1/3 of that time. What is the latest time that Amir can leave to drive to work and arrive by 9:00 am

Answers

8:50 am

1/3 of 30 = 10 min (so it takes 10 min for him to drive to work)

9:00-10min = 8:50

What is the constant of proportionality in the equation StartFraction x over y EndFraction StartFraction 2 over 9 EndFraction?
StartFraction 2 over 9 EndFraction
2
StartFraction 9 over 2 EndFraction
9

Answers

Given:

The equation is:

[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]

To find:

The constant of proportionality.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]                        ...(i)

Where, k is the constant of proportionality.

We have,

[tex]\dfrac{x}{y}=\dfrac{2}{9}[/tex]

On cross multiplication, we get

[tex]9x=2y[/tex]

Divide both sides by 2.

[tex]\dfrac{9}{2}x=y[/tex]

Interchange the sides.

[tex]y=\dfrac{9}{2}x[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]k=\dfrac{9}{2}[/tex]

The constant of proportionality is [tex]\dfrac{9}{2}[/tex]. Therefore, the correct option is B.

Two amounts of money are in the ratio 8:3 if the second amount is 4.05,what is the value if the first amount?​

Answers

Answer: 10.75 currency units

Step-by-step explanation:

The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.

Use direct proportion to solve:

8      :      3

x      ;       4.03

Cross multiply to get:

3x = 32.24

x = 32.24 / 3

x = 10.75 currency units

Figure 2 was constructed using figure 1. For the transformation to be defined as a rotation, which statements must be true? Selext three options.

Answers

Answer:

The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).

The transformation is rigid.

Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

If figure 1 is located 360° about point C, it will be mapped onto itself.

Step-by-step explanation:

Help me I don't know any ​

Answers

Answer:

25%

Step-by-step explanation:

(a)

We need to express in percent 8 as a percent of 32.

We have,

Numerator = 8

Denominator = 32

Percent,

[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]

Hence, the required percentage is 25%.

Compute the volume of the following composite solid

Answers

Answer:  24000 mm^3

=======================================================

There are a few ways to do this.

One way is to slice horizontally to break up the L shape into two separate rectangular blocks. Refer to the diagram below to see what I mean.

The block on top has length 80-60 = 20 mm (horizontal), width 10 mm, and height 40 mm.

The volume of this block on top is L*W*H = 20*10*40 = 8000 mm^3, where mm^3 means "cubic millimeters"

The block down below has a length of 80 mm, width of 10 mm, and height of 60-40 = 20 mm (vertical). Its volume is L*W*H = 80*10*20 = 16000 mm^3

Add up the two volumes to get the overall volume: 8000+16000 = 24000 mm^3

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

Another approach you could take is to do a vertical slice to form two separate blocks. You would follow similar steps mentioned in the section above to find the two volumes, and add up the smaller pieces.

Yet another way to find the answer is to find the area of the L shape, and then multiply that by the depth of 10 mm.

Anca rolls two number cubes labelled 3 to 8. She adds the numbers that show on the cubes. List the possible outcomes. b) What is the probability of getting '13'? c) What is the probability of getting '21'? d) What result should occur the most?

Answers

Answer:

Find the theoretical probability that you will choose each color. P(green) = ___/​___ ... 98% or 100%. 3. Bailey uses the results from an experiment to calculate the probability of each color of block being chosen from a bucket. He ... If the sum of the two number cubes in even, Player 1 (or) 2 scores a point.

Step-by-step explanation:

!!!!!!!!!PLEASE HELP!!!!!!!!

Answers

A. Answer must be positive because tan is positive in quadrant 3

What is the solution to the system of linear equations?

Answers

Step-by-step explanation:

is connected to graph before u learn this u must know your graph

if f(x) = 2X -5 and g(x)=x^2-8 find (f+g)(x)

Answers

Answer:

im not dure

Step-by-step explanation:

In a certain arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?

Answers

Answer:

a₁₅₇ = 1,088

Step-by-step explanation:

aₙ = a₁ + d(n-1); where 'd' if common difference

a₁₅₇ = -4 + 7(156)

      = -4 + 1092

      = 1,088

Answer:

157 is the 24th term

Step-by-step explanation:

The formula for arithmetic sequences is an=a1+(n-1)d,

where an is the nth term, a1 is the first term, n is the term position, and d is the common difference

First, we need to find the common difference using the 10.

Since it's the third term, we have 10=-4+(3-1)d

Solving for d gives us d=7

Next, we need to find the term number of 157

Thus, we have 157=-4+(n-1)*7

Solving for n gives us n=24

We can check it like this: Following order of operations (i.e. PEMDAS) gives us 24-1=23*7=161-4=157

the sum of 43.9 and 4 groups of a number​

Answers

Answer:

10.975+10.975+10.975+10.975

Step-by-step explanation:

A city has 18 radio stations, including 4 college radio stations.
What is the probability that a randomly chosen radio station in this city is a college radio
station?
Write your answer as a fraction or whole number.

Answers

Answer:

2/9

Step-by-step explanation:

P=4/18=2/9

Select elther relation (If the set is a relation but not a function), function (If the set is both a relation and a function), or
neither (If the set is not a relation).
F=[(x, y) |x+y=10)

A. neither

B. Function

C. Relation

Answers

Answer:

B

Step-by-step explanation:

The given set F=[(x, y) |x+y=10) is a function.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The set F represents a relation since it contains ordered pairs of elements. Specifically, it contains all pairs (x, y) such that x+y=10.

For example, (2, 8) and (5, 5) are elements of F since 2+8=10 and 5+5=10.

However, it is not necessarily a function since it is possible for two different x values to have the same y value, which would violate the vertical line test for functions.

For example, both (2, 8) and (8, 2) are in F since 2+8=10 and 8+2=10.

Hence, the given set F=[(x, y) |x+y=10) is a function.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ7

Other Questions
Please answer the question ASAP PLZZZZ!! URGENT! What are the residuals for the scatter plot. Thank you! And give her to the god of storms, The lightning and the gale. Which sound device is present in lines here? A) alliteration B) end rhyme C) assonance D) internal rhyme PLEASE HELP! 19. As soon as he stepped over the lintel, the flesh of his soles contracted on the chilled earth, and (1 point)his legs began to ache with cold.Which of these best describes this excerpt from Doris Lessing's A Sunrise on the Veld?O It is an example of sprung rhythm.O It is an example of an unreliable narrator.It is an example of kinesthetic imagery.O It is an example of lyrical poetry. cules son las caractersticas de la luz y en qu consisten Read the sentence below and answer the question that follows.Tommy the Clown or the Hip Hop Clowns travel the world performing for diverse audiences.How should the sentence above be rewritten to correct the subject-verb agreement error?The sentence is correct as written.Tommy the Clown or the Hip Hop Clowns travels the world performing for diverse audiences.Tommy the Clown or the Hip Hop Clowns was travelling the world performing for diverse audiences.Tommy the Clown and the Hip Hop Clowns travels the world performing for diverse audiences. ASAP WILL MARK BRAINLIEST! NO LINKS PLEASE ,DUE IN 5 MIN! Let's say you cut open a log of wood with an axe, what type of simple machine are you using? Does it matter how sharp it is? Two argon atoms form the molecule Ar2 as a result of a van der Waals interaction with U0 = 1.6810-21 J and R0= 3.8210 the frequency of small oscillations of one Ar atom about its equilibrium position. Solve for x. Round to the nearest tenth, if necessary. How was Cordoba different from the rest of Western Europe? A landscaper needs to rent tree-trimming equipment. The graph shows the rental costs for the equipment at two different stores. Choose the ordered pair that best estimates the time and cost at which the two stores charge the same amount. For each of the following sentences, select the phrase or group of words that best completes the statement. Earnings per share Dividend yield ratio Dividend payout ratio Return on assets ratio Return on common stockholders' equity ratio What are the characteristic of a cell? factorise fully 3r+6r2 Which ordered pairs are solutions to the equation x+6y=4? Dad, if you are seeing this, then I have run away. Angie has been torturing me ever since you started dating her, and I have had enough of it. I have been trying to tell you, but you would never listen. Goodbye, and Angie, if you are seeing this, I posted this on here, so you will not be able to delete anything. Have a nice life What would be the most historically accurate context in which to see an Akan linguist's staff? 12. NAD and NADPH are distinguished from each other by thethat's bonded to the sugar ring attached to the adenine.O A. phosphate groupO B. adenineO C. carbon dioxideO D. nicotinamide What is the capital name of Philippines?