The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?

Answers

Answer 1

Answer:

[tex](-3,4/375)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]

Reflection: Across y-axis

Required

The ordered pair on g(x)

The rule of reflection across y-axis is:

[tex](x,y) = (-x,y)[/tex]

So, we have:

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

f(-x) is:

[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

Recall that:

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

Hence:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

From the options (missing in the question), the ordered pair is:

[tex](-3,4/375)[/tex]

To check this, we have:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]

Expand

[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]

Simplify

[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]

Open bracket

[tex]g(-3) = \frac{4}{375}[/tex]


Related Questions

what is 8/9 divide 2/3?

Answers

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Simplify the complex fraction.

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Simplify

4/3 is the correct answer

{(5,2), (-2,4), (2, -7)}

Domain:

Range:

Answers

Answer:

Step-by-step explanation:

The domain are all the x values in order, no repeats allowed:

D = {-2, 2, 5}

Same thing for the range, except these are the y values:

R = {-7, 2, 4}

The coordinates stated this way don't match up to what they are in coordinate form, but they don't have to.

Answer:

Domain : {-2,2,5}

Range:{ -7,2,4}

Step-by-step explanation:

The domain is the inputs

Domain : {-2,2,5}

The range is the outputs

Range:{ -7,2,4}

Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.

Answers

Answer:

The midpoint of the data when it is arranged in order.

Step-by-step explanation:

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

For example, the median of the following set of numbers is 5

1, 2, 5, 10, 20

Range is the difference between the highest and lowest values of a set of observations

Range = highest value - lowest value

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Kasey has three pieces of wood that measure 9 inches, 12 inches, and 21 inches. Can she make a right triangle
with the three pieces of wood (without cutting or overlapping)?

Answers

Answer: No

Step-by-step explanation:

Add 2 sides together. If the sum of greater than the length of the 3rd side for all 3 options it can form a right triangle if it doesn’t than it can’t:

9 + 12 = 21 which is not greater than the 3rd side length of 21 so this cannot form a right triangle.

The answer would be (no)

Can somebody help me Answer to this ??

Answers

X=7

c is the answer:

[tex]3x + 50 = 10x + 1 \\ 10x - 3x = 50 - 1 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7[/tex]

X=7! Math always sucks

18 Ib. Then her dog loses another 1 lb. Finally, it
Cece dog
gains lb. What is the total change in her dog's weight? how your work. Pleasss help

Answers

Answer:

17 lb I guess 8 don't think the question is full

Step-by-step explanation:

the question is half

Solve the system of equations.
6x – Зу = 3
-2x + y = 14
1.What number would you multiply the second equation
by in order to eliminate the x-terms when adding to the
first equation?
2.What number would you multiply the first equation by in
order to eliminate the y-terms when adding to the
second equation?

Answers

Answer:

1. Multiply by 3

2. Multiply by 1/3

Step-by-step explanation:

6x - 3y = 3

-2x + y = -14

1. In order to eliminate the x-terms, they would both have to equal the same number with opposite signs (positive and negative). Since we are only touching the second equation, how can we get from 2 to 6? We can multiply 2 by 3 to get to 6 (negative 6 in the end.) This would result as follows:

6x - 3y = 3

-6x + 3y = 42

2. In order to eliminate the y-terns through multiplying with the first equation, we have to figure out how to make 3y into 1y. We can do this by adding its reciprocal, 1/3. 1/3 × 3 = 1. This would result as follows:

2x - y = 1

Select the correct answer.
What is the value of x in the triangle?

Answers

Answer:

The answer is A. 21

Hope it helps.

Step-by-step explanation:

• • •

Can someone help me with this math homework please!

Answers

Answer:

(-3,-6) and (-3,2)

Step-by-step explanation:

A line with an undefined slope is vertical. In this case it must have x coordinates equal to -3

Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year. Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost

Answers

C(b) = 2.75b + 10

This is based of the f(x) = mx + b formula, where m is the slope, x is the variable (or input) and b is the y intercept. In this circumstance the slope is 2.75, so we change m for 2.75. The variable is the amount of books so we change it for b (like it says in the word problem), and and 10 is the starting cost, so it’s the y intercept, so we change b for 10.


Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

please help!!!!!!!!!!!

Answers

it should be this y=1/2x+3
I agree with the answer above

Solve the system of equations using substitution.
y = x + 6
y = –2x – 3

Answers

Answer:

x = -3

y= 3

Step-by-step explanation:

y =  x + 6 -----------------------(I)

y = -2x - 3 ---------------------(II)

Substitute y =x +6 in equation (II)

x + 6  = -2x - 3

Add 2x to both sides

x + 2x +6 = -3

Combine like terms

3x + 6 = - 3

Subtract 6 from both sides

3x = - 3 - 6

3x = -9

Divide both sides by 3

x = -9/3

x = -3

Plug in s = -3 in equation (I)

y = -3 + 6

y = 3

hope this helps! feel free to clarify

Write the y-intercept of the line

Answers

Answer: -2. Bc if you look on the graph of the y axis you'll see its located at -2.

Hope this helps :)

Step-by-step explanation:

I'm not sure how to answer this!!

Answers

Answer:

I think it's a

Step-by-step explanation:

hsjshbwibs hshhsvsu hshsbsbus

Which system is equivalent to y=-2x^2 y=x-2

a) y=-2y^2 x=y-2
b) y=-2y^2+2 x=y+2
c) y=-2y^2-8y-8 x=y+2
d) y=-2y^2+8y-8 x=y-2

Answers

Answer:

answer C

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y&=&-2x^2\\y&=&x-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2(y-2)^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2y^2-8y-8\\\end{array}\right.\\\\[/tex]

simplify m√p + n√p - √p

Answers

Answer:

[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p}(m + n - 1) }}[/tex]

Help me pls‼️‼️‼️❤️❤️

Answers

Answer:

= 50%

Step-by-step explanation:

There is one point, random number = 1

There are two circles, sample space = 2

[tex]{ \tt{probability = \frac{1}{2} }} \\ { \tt{percentage = \frac{1}{2} \times 100\% }} \\ = 50\%[/tex]

Answer:

25%

Step-by-step explanation:

1. Find the area of both Circles: [tex]A = \pi r^{2}[/tex] [tex]A = \pi 2^{2}[/tex] = [tex]4\pi[/tex]   [tex]A = \pi 1^{2} = \pi[/tex]

2. [tex]\frac{\pi }{4\pi }[/tex] to find the percentage

3.  0.25 = 25%

Doanh nghiệp bán trả góp 1 bất động sản có giá thanh toán là 32.000trđ . Thu điều cả vốn lẫn lãi trong 10 năm với lãi suất trả chậm là 10% / năm . Xác định số vốn phải thu ở năm thứ 6 ?

Answers

Answer:

Step-by-step explanation:

I NEEDDDD D HELPPPPP!!!

Answers

Answer:

70 degrees

Step-by-step explanation:

there are multiple ways, as all the trigonometric functions are related.

let's try it this way :

consider the missing side to be the radius of a circle.

then 41 would be the cos value of the angle (multiplied by that radius, of course).

so, let's calculate the missing side per Pythagoras

c² = a² + b² = 113² + 41² = 12769 + 1681 = 14450

c = 120.21

and now

41 = cos(?) × 120.21

cos(?) = 41/120.21 = 0.341...

? = 70.0576... ≈ 70 degrees

Answer:

70°

Step-by-step explanation:

tangent θ = (opposite side / adjacent side)

tangent θ = (113 / 41)

θ = arctan (113 / 41)

θ = 70.0576°

*Note: "arctan" is the same as "inverse tangent"

**Note: "soh-cah-toa" (and "cho-sha-cao" for sec, csc, & cot) is an easy mnemonic device to remember the trig functions (sin, cos, & tan) and their relations to the sides of a given angle.

what are the points for the equation y +2 = - 3/4 (x+4)

Answers

Answer:A(1,-5)

B(6,-8)

Step-by-step explanation:

3.)The lateral surface area of a right circular cylinder is 120cm² and the circumference of the bases is 12cm.Find the altitude of the cylinder ​

Answers

Answer:

Lateral surface area= circumference*height

120=12*h

h=10cm

Answer:

h=10 cm

Step-by-step explanation:

cicumference of a circle C=2πr=12

lateral surface area of cylinder=2πrh

120=12h

h=120/12=10 cm

the sum of three consecutive numbers is five times the difference of the middle number and 22. find the numbers.

Answers

Answer:

The numbers you're looking for are 54, 55, and 56.

Step-by-step explanation:

x + (x + 1) + (x + 2) = 5 * (x + 1 - 22)

3x + 3 = 5x - 105

3 = 2x - 105

108 = 2x

x = 54

x + 1 = 55

x + 2 = 56

in a shipment of 10,000 headlights, 5% are defective. what is the ratio of defective headlights to non-defective headlights

Answers

Answer:

19:1

Step-by-step explanation:

There are 10000 headlights. If 5% are defective, then 500 are defective. Since we took that 500 out, we get 9500 good headlights. The ratio is 9500:500 or 19:1

The ratio of defective headlights to non-defective headlights will be 19:1.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

There are 10000 headlights. If 5% are defective, then 500 are defective. Since we took that 500 out, we get 9500 good headlights.

The ratio will be calculated as below:-

Ratio = 9500:500

Ratio = 19:1

Therefore, the ratio of defective headlights to non-defective headlights will be 19:1.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

Determine which quadratic equations have
2 real solutions. Select two that apply.

Answers

Answer:

A & D

First and last

Step-by-step explanation:

PLEASE HELP 30 POINTS

Find the value of x in the triangle below.
804
155
55°
o
75
80°
Ο Ο
85

Answers

Answer:

75°

Step-by-step explanation:

First, we need to know that the interior angle sum of a triangle is always 180°.

Now, to find the missing angle aside from x, we need to complete the sum 180-155=25, seeing 155° lies on a straight line. Remembering the interior angle sum of a triangle is always 180°, it is thus clear that 25+80+x=180. If we complete this equation, x=75.

Hope this helps!

Given JIH~ LMN. what is the value of LN?

Answers

Answer:

7 units

Step-by-step explanation:

In similar triangles, corresponding sides are same ratio.

[tex]\frac{LN}{JH}=\frac{LM}{JI}\\\\\frac{LN}{14}=\frac{5}{10}\\\\LN=\frac{5}{10}*14\\\\LN=7[/tex]

A particular strain of bacteria triples in population every 45 minutes Assuming you start with 50 bacteria in a Petri dish how many bacteria will there be in 4.5 hours

Answers

Answer:

4.5 hours in minutes = 270

Every 45 minutes, bacteria triples

You start with 50

Divide 270 (total time) by 45 (every time bacteria triples)

270/45 = 6

36,450 bacteria

Mọi người giúp em với

Answers

Answer:

bka bla bla bla sorry I newbie

mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11

Answers

the answer is a.) 165 sorry if that’s wrong but i hope it’s right
Yeah it’s A I just did this

Show Workings.
Question is in attached image.​

Answers

Answer:

A.]A chord of a circle of diameter 40 cm subtends an angle of 70° at the centre of the circle.

Solution given;

diameter [d]=40cm

centre angle [C]=70°

(a) Find the perpendicular distance be tween the chord and the centre of the circle.

Answer:

we have

the perpendicular distance be tween the chord and the centre of the circle=[P]let

we have

P=d Sin (C/2)

=40*sin (70/2)

=22.9cm

the perpendicular distance be tween the chord and the centre of the circle is 22.9cm.

(b) Using = 3.142, find the length of the minor arc.

Solution given;

minor arc=[tex]\frac{70}{360}*πd=\frac{7}{36}*3.142*40[/tex]

=24.44cm

the length of the minor arc. is 24.44cm.

B.]In the diagram, XZ is a diameter of the cir cle XYZW, with centre O and radius 15/2 cm.

If XY = 12 cm, find the area of triangle XYZ.

Solution given:

XY=12cm

XO=15/2cm

XZ=2*15/2=15cm

Now

In right angled triangle XOY [inscribed angle on a diameter is 90°]

By using Pythagoras law

h²=p²+b²

XZ²=XY²+YZ²

15²=12²+YZ²

YZ²=15²-12²

YZ=[tex]\sqrt{81}=9cm[/tex]

:.

base=9cm

perpendicular=12cm

Now

Area of triangle XYZ=½*perpendicular*base

=½*12*9=54cm²

the area of triangle XYZ is 54cm².

Answer:

Question 1

a)

d = 40 cm ⇒ r = 20 cm

Let the perpendicular distance is x.

Connecting the center with  the chord we obtain a right triangle with hypotenuse of r and leg x with adjacent angle of 70/2 = 35°.

From the given we get:

x/20 = cos 35°x = 20 cos 35°x = 16.383 cm (rounded)

b)

The minor arc is 70° and r = 20

The length of the arc is:

s = 2πr*70/360° = 2*3.142*20*7/36 = 24.437 cm (rounded)Question 2

Since XZ is diameter, the opposite angle is the right angle, so the triangle XYZ is a right triangle.

r = 15/2 cm ⇒ XZ = d = 2r = 2*15/2 = 15 cm

Find the missing side, using Pythagorean:

[tex]YZ = \sqrt{XZ^2 - XY^2} = \sqrt{15^2-12^2} = \sqrt{81} = 9[/tex]

The area of the triangle:

A = 1/2*XY*YZ = 1/2*12*9 = 54 cm²

Other Questions
How are the missions of the Sierra Club and Naturfreunde different? based on the map shown above which statement is most accuratea. Solar energy is most available in the southeastern part of the united statesb. solar energy is most available in the northwestern part of the united statesc. solar energy is most available in the southwestern part of thw united statesd. solar energy is evenly available all over the united states. Financial information is presented below: Operating Expenses $ 89300 Sales Returns and Allowances 17000 Sales Discounts 11700 Sales Revenue 320900 Cost of Goods Sold 173900 The amount of net sales on the income statement would be The worlds tallest building is the Burj Khalifa which stands at 828 m above the ground. An eccentric billionaire CEO has an office on the top floor. He insists on having a personal elevator installed that consists only of a giant spring that spans from the basement to his office when it is uncompressed. If his mass is 120 kg, what spring constant in N/m is required so that he momentarily comes to rest on the ground floor? why is it important of having regular supervision of the market? Mr. and Mrs. Underhill operate a hardware store in a jurisdiction that levies both a sales tax on retail sales of tangible personalty and an annual personal property tax on business tangibles. The personal property tax is based on book value as of December 31. This year, Mr. and Mrs. Underhill purchased $840,000 of inventory for their store.a. Are Mr. and Mrs. CS required to pay sales tax on the purchase of the inventory?b. How can Mr. and Mrs. CS minimize their personal property tax by controlling the timing of their inventory purchases?A. Minimize inventory on hand as of December 31.B. Minimize inventory on hand as of March 31.C. Minimize inventory on hand as of December 1.D. Minimize inventory on hand as of April 30. Can someone help me I need it. Date of NoteFace AmountInterest RateTerm of Notea.January 5 *$90,000 60 days b.February 15 *21,000 4 30 days c.May 1968,000 The SALT I agreement in 1972 brought aboutO the creation of documents that officially ended the Cold War.O the US recognition of China for the first time since 1949. the regulation of Chinese production or missiles that carried nuclear weapons. the regulation of Soviet production of missiles that carried nuclear weapons. Friends, i need help with this question. Look at the map and select the correct answer. In which area of the map are the US territories of Puerto Rico and the US Virgin Islands located? A. 2 B. 1 C. 4 D. 3 What happens in this story that tells us this story is a fairy tale? (Prove this is a fairy tale by quoting something from the story that shows this is a fairy tale and not a true story) Its so hard what do i do? The half life of uranium-235 is 4.5 billion years. If 0.5 half-lives have elapsed, how many years have gone by?A. 4.5 billionB. 9 billionC. 2.25 billionD. 4 billion Whats the answers ? Help with this question Please I need help who want to earn 13 points .. A motorcycle of mass 160 kg accelerates from rest to 53 m/s in 9 seconds. Ignore air resistance. Assuming there's no slipping between the wheels and the pavement of the road.Required:a. What is the average horizontal component of the force that the road exerts on the wheels (total force on all two wheels, not the force on one wheel)?b. How far does the motorcycle travel in 9 seconds?c. In the point-particle analysis of this situation, what is the work done by this force? d. For the real system, how much work is done by the force of the road on the wheels? Question 2 (Common mistakes) 2.1 Correct mistakes in the following sentences. 2.1.1 You felt so lonely 2.12 The restaurant is opened every day. 2.1.3 We are five in my familyhome. 2.1.4 Do you like a glass of water? 2.1.5 He insisted to carry his own bag. 2.1.6 Athenkosi will retum back my phone before noon. 2.17 Siziphiwe can be able to drive a car. 21.8 Qhamisa is my cousin sister who is the most beautiful of them all. 2.1.9 I didn't knew I was wrong. 2.1.10 Tell me why did you do that? [10x10] What is tanA?Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 17, adjacent A C is 8, opposite B C is 15.a.StartFraction 15 Over 17 EndFractionc.StartFraction 8 Over 15 EndFractionb.StartFraction 8 Over 17 EndFractiond.StartFraction 15 Over 8 EndFraction