Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5). On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5). On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5). On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).

Answers

Answer 1

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

[tex]f(x) = 2(0.4)^x[/tex]

The rule of reflection over the y-axis is:

[tex](x,y) \to (-x,y)[/tex]

This means that:

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

Substitute -x for x in f(x)

[tex]f(-x) = 2(0.4)^{-x}[/tex]

Substitute the expression for f(-x) in the above equation [tex]g(x) =f(-x)[/tex]

[tex]g(x) = 2(0.4)^{-x}[/tex]

Hence, the graph of g(x) is graph (a)

Read more about function transformation at:

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Related Questions


 HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Step-by-step explanation:

Use the quadratic formula to find the solutions.

b

±

b

2

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(

a

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Tap for fewer steps...

Simplify the numerator.

Tap for fewer steps...

Raise

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6

to the power of

2

2

.

x

=

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±

36

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The final answer is the combination of both solutions.

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hello please help i’ll give brainliest

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1/2

Explanation:

1/4 - (-1/4) = 1/4 + 1/4 = 1/2

I hope this helped!

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- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE

Answers

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

one ticket costs $8. if you have $56, how many tickets can you buy?


please show work if it’s possible!!:)

Answers

Answer:

7

Step-by-step explanation:

because 56 divided by 8 = 7

or 7 x 8 = 56

hope this helps?

if its right can i have brainlist?

:')?

Answer:

You can buy 7 tickets

Step-by-step explanation:

56 devided by 8 is 7

5[5y -6] = 4[y -7]
solve the equation by balancing the equation

Answers

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

Abby mixed orange paint by using 3 cups of red paint and 9 cups of yellow paint. Zack made his orange paint by mixing 5 cups of yellow paint and 3 cups of red paint. Are Abby's and Zack's mixes proportional? Explain.

Answers

yes 8 and 12 are proportional

Which equation shows a quadratic function where the vertex is at the origin?
a. y = –4x
2 + 4
b. y = 4x
2
c. y = 4x
2 + 4
d. y = −4x
2 + 4x – 1

Answers

Answer:

B. y = 4x

2 + 4

Step-by-step explanation:

sana nakatulong

Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.

Answers

Answer:

[tex]c = 11[/tex]

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

[tex]a = b= 5[/tex]

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: [tex]a = b= 5[/tex]

[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]

Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]

[tex]0 < c < 10[/tex]

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

[tex]c = 11[/tex], since no options are given

There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.

Answers

Answer:

5/22 and for the decimal it will be, 0.22727272727273.

Step-by-step explanation:

What is the GCF for 4x^2yz^3 and 12xz^2

Answers

Answer:

The great common factor is:

x(2z)²

Steps:

given:

4x²yz³12xz²

4x²yz³ = 2²x²z²yz

4x²yz³ = x(2z)²xyz

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

12xz² = 4×3xz²

12xz² = 2²3xz²

12xz² = x(2z)²3

The great common factor is: x(2z)²

Answer:

4xz^2.

Step-by-step explanation:

GCF of 4 and 12 is 4

GCF of x^2 and x is x.

GCF of z^3 and z^2 is z^2.

A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times

exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk

Answers

Answer:

approximately 75 times

Answer:

approximately 75 times

Step-by-step explanation:

joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP

Answers

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

Rewrite the sum of 30 and 42 by factoring out of the greatest common factor

Answers

Answer:

12

Step-by-step explanation:

Factors of 30: 1,2,3,5,(6),10,15,30

Factors of 42: 1,2,3,(6),7,14,21,42

30 divided by 6, 42 divided by 6

(5) + (7)= 12

Find the value of a in the diagram below:
20
40°
200°

Answers

50

angles in triangle =180
180-40=140
the other angle is a right angle so 90°
140-90=50

thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.

Answers

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

i need help please this is quite hard for me

Answers

Use photomath because it is very helpful bro

Simplify: –3(y + 2)2 – 5 + 6y

What is the simplified product in standard form?

y2 +
y +

Answers

- 17 woule be the correct answer for the equation being simplified

Answer:

For edge

Step-by-step explanation:

The first one is -3

The second one is -6

The last one is -17

A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?

Answers

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

(PLEASE HELP)
What is the measure of the unlabeled angle in the triangle below?

A.38
B.40
C.49
D.89

Answers

The answer is 40

91+49=140
180-140=40

Answer: B. 40

Step-by-step explanation:

We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40

The radius of a circle is 3.8 feet find the diameter

Answers

Answer:

7.6

Step-by-step explanation:

radius is half the diameter so multiply 3.8 times 2.

Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=

Answers

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

Help me with Math
( graphs )
PLEASEEE​

Answers

Ok try to look on you tube it can help a lot in this

Judah rides his bike 15 miles in 1/2 an hour.How many miles does he ride in one hour?

Answers

30 miles in one hour
1/2 and hour=30 minutes. 1 hour=60 minutes. 30*2=60. So, 15*2=30 must be the answer.

please show your work.​

Answers

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

reflect the triangle in the mirror line

Answers

Answer:

correct me if im wrong bb

As the economic prosperity of the 1990s decreased, what changes would one expect in the design of houses?

Answers

Answer:

immagrants would start to make houses out of stone sticks and hay

Step-by-step explanation:

pls mark brainlyest

Answer:

They don't like the look or it doesn't fit the style of their home. I could argue back and say that if they at least look at all the options, they might change their mind. Also, people are making new Eco-friendly products that might fit their house style every day

Step-by-step explanation:

if y varies inversely as x, and y =35 when x =14, find x when y =15.

Answers

Answer:

[tex]x = 32 \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]

Let's find the value of k first.

When y= 35, x= 14,

[tex]35 = \frac{k}{14} [/tex]

k= 14(35)

k= 490

Substitute the value of k into the equation:

[tex]y = \frac{490}{x} [/tex]

When y= 15,

[tex]15 = \frac{490}{x} [/tex]

15x= 490

x= 490 ÷15

[tex]x = 32 \frac{2}{3} [/tex]

how many times can 82 go into 401

Answers

Answer:

4.89 times

Step-by-step explanation:

I hope this helps :)

Answer:

82 can go into 401 four times.

Step-by-step explanation:

82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.

5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
What is the probability of getting a number less than 19? (whole percentage)
%

Answers

Answer:

1 out of a 50% chance

Step-by-step explanation:

hope it helps

Can someone help me please

Answers

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Answer: (-10,-2)

Just multiply the points by 2

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

(-10,-2)

Step-by-step explanation:

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Describe the triangle trade. one ticket costs $8. if you have $56, how many tickets can you buy?please show work if its possible!!:) [tex] 25x { }^{2} + (5x - 3)(2x + 7) - 9[/tex] One result of the opium war was that china What is this the answer for this ? Sam went to the store to buy some supplies for school. He bought a binder that cost $6.50 and packages of filler paper that cost $1.25 each. If Sam spent a total of $11.50, how many packages of filler paper did he buy? LET p = the number of packages of filler paper plz help thank u so much. 13.Total no. of English Alphabet ____a)26b)27c)28d)29 why was the immigration act of 1952 passed?If you answer correctly I will give you brainly Please help me if you can. Please also write how you got the answer thank you. g During winter, red foxes hunt small rodents by jumping into thick snow cover, without any visual clue. Researchers examined the compass direction of hundreds of such jumps. They found that 73% of jumps in the northeast direction were successful, compared with 60% of jumps in the southwest direction and only 18% of jumps in all other directions. True or False: Jumping direction and jump outcome are independent. Tell whether the angles are adjacent or vertical. Then find the value of x. #1 In this passage, which element does Mandela add to his description of the courage he needed to succeed in his mission?In life, every man has twin obligationsobligations to his family, to his parents, to his wife and children; and he has an obligation to his people, his community, his country. In a civil and humane society, each man is able to fulfill those obligations according to his own inclinations and abilities. But in a country like South Africa, it was almost impossible for a man of my birth and color to fulfill both of those obligations. In South Africa, a man of color who attempted to live as a human being was punished and isolated. In South Africa, a man who tried to fulfill his duty to his people was inevitably ripped from his family and home and was forced to live a life apart, a twilight existence of secrecy and rebellion. I did not in the beginning choose to place my people above my family, but in attempting to serve my people, I found that I was prevented from serving my obligations as a son, a brother, a father, and a husband. A. VisionB. RebellionC. SacrificeD. Boldness plss help ill give brainliest thank you! Why was the outcome of the Cuban missile crisis viewed as a failure for krushchev You have been offered an investment that will pay you a lump sum of $30,000 25 years from today, along with a payment of $1,000 per year for 25 years starting one year from today. How much are you willing to invest today to have this investment in your portfolio assuming you wish to earn a rate of 6 percent compounded annually Tell me what you think I need help For English tell me what you think I am not done yet List 3 different organelles found inside of a cells Who is Jefferson likely referring to when he talks about "stock jobbers & King-jobbers?Thomas Jefferson to Marquis de LafayettePhiladelphia, Pennsylvania, 16 June 1791 Read this passage from "The Obligation to Endure": Adjust to these chemicals would require time on the scale that is nature's; it would require not merely the years of a man's life but the life of generations. And even , were it by some miracle possible, would be futile, for the new chemicals come from our laboratories in an endless stream; almost five hundred annually find their way into actual use in the United States alone. Which appeal(s) does Carson most rely on in this passage?A. EthosB. Pathos and ethosC. LogosD. Logos and Pathos