Translate, (3, 1) to the right 1 unit. Then reflect the result over the y-axis. What are the coordinates of the final point?
show work

Answer:

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )

y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

3(y - 2) = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Answer:

3(x-2)

Step-by-step explanation:

interchange value of x and y

Answer:

38 is your answer :)

Step-by-step explanation:

So what you want to do is P.E.M.D.A.S (parenthesis, exponets, multiplication/division, addition/subtraction) * whatever comes first always do it in order*

3^2+12/ (6-3) x 8

6-3 = 3

3^2+12/(3)*8

3^2+4*8

6+4*8 =32 and 32+6 = 38

Answer:

Will's Age : 35

Maria's Age : 15

Step-by-step explanation:

Will is five years more than twice Maria's age.

15 doubled is 30 plus 5 is 35.

In five years, when Will will be 40 and Maria will be 20 years, their ages will add up to 60.

Answer:

80 degrees

Step-by-step explanation:

they are vertical pirs (across from each other) so they have the same measure

Answer:

F

Step-by-step explanation:

the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

What's the question?

Step-by-step explanation:

You haven't shown me a question.

Answer:

The answer is A.[tex]98\beta \pi[/tex]

Step-by-step explanation:

Take the transactions of the polynomials and apply the quadratic formula.

Answer:

1.95 x 10^5

Step-by-step explanation:

First look at the 4th digit in the number 194720 as the the question said to round to 3 significant figures. If the 4th digit is more than 5, then add 1 to the third digit which results in 195000. Now the question also said to express in standard form. Look for the first non-digit number in 195000. After 1 put a decimal point and remove all the zeros after the point which results in 1.95. Now count how many digits you moved to the left which comes as 5. Write the answer as 1.95 x 10^5.

Hope you can understand this!!

Answer:

Increasing by 40%

Step-by-step explanation:

This is a exponentional function. The format for this type of function is a(b)^x. So "a" is your initial value, and "b" is the rate. Now let's think to ourselves what times what is still equal to the same thing? That is 1. But in our question, we have 1.4. So we are increasing by 0.4, or 40%.

Answer:

X= 3/2

Step-by-step explanation:

hope this helps

Answer:

sin x + cos x = 5/13 + 12/13

Step-by-step explanation:

Given that tan x = 5/12, what is the value of sin x + cos x?

draw a triangle with opposite leg=3 and hypotenuse=5

tan p = opposite/adjacent = 3/4

similarly, in a 5-12-13 right triangle

sin x + cos x = 5/13 + 12/13

Answer:

14137.17 cubic cm

Step-by-step explanation:

I can see that the radius here is 15cm, and when it says air, I am going to guess we are looking for the volume. We do the equation in order to get the volume, and get the answer 14137.17cm.

IMPORTANT : When it says air-  you have to realize it's VOLUME.

radius= 15 cm

the amount of cubic centimeters of air needed to fill the soccer ball.

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{3}{4} \times \pi \times {(15)}^{2} [/tex]

[tex]v = 14137.17 {cm}^{3} [/tex]

therefore, the soccer ball can hold 14137.17 cubic centimeters of air.

Answer:

five by four

Step-by-step explanation:

Step-by-step explanation:

Nate - I can't fold my invitation at all. The parts won't match.

Hector - I can fold my invitation more than one way.

Daniel - I can fold my invitation along only a horizontal line.

Micheal - I can fold my invitation along only a vertical line.

Answer:

1. [tex]x=13,\,y=13\sqrt{2}[/tex]

2. [tex]x=y=\frac{30\sqrt{2}}{2}[/tex]

3. [tex]x=6,\,y=3\sqrt{3}[/tex]

4. [tex]x=17\sqrt{3},\,y=17[/tex]

5. [tex]x=y=10[/tex]

6. [tex]x=50,\,y=25[/tex]

7. [tex]x=y=2\sqrt{7}\,\,(\mathrm{because}\,\,\frac{2\sqrt{14}}{\sqrt{2}} = \frac{2\sqrt{2}\sqrt{7}}{\sqrt{2}} = 2\sqrt{7} )[/tex]

8. [tex]y = \frac{24\sqrt{3}}{3} = 8\sqrt{3},\,x = 16\sqrt{3}[/tex]

9. [tex]x = 11\sqrt{3},\,y=11\sqrt{3}\cdot\sqrt{3} = 33[/tex]

10. [tex]y = 2\sqrt{6},\,x = \sqrt{6}\cdot\sqrt{3} = 3\sqrt{2}[/tex]

11. [tex]x = \sqrt{10},\,y=\sqrt{10}*\sqrt{2} = 2\sqrt{5}[/tex]

12. [tex]x = \frac{4\sqrt{21}}{\sqrt{3}} = 4\sqrt{7},\,y=8\sqrt{7}[/tex]

13. [tex]x = 17\sqrt{3},\,z = 34,\,y =34\sqrt{2}[/tex]

14. [tex]x = 27\cdot\frac{2}{\sqrt{3}}=18\sqrt{3},\,h=9\sqrt{3},\,z=9,\,y=18[/tex]

Step-by-step explanation:

Please ask for explanation on specific numbers, as doing it all is a lot of writing. From the parially-written aswers I assume you know the rules for 90-45-45 triangles and 90-60-30 triangles, which are the only ones in the task sheet.

Answer:

Given

Step-by-step explanation:

As I can see, in the question the statement is already given.

Answer:

the answer is 18.53.... hope this helps

Step-by-step explanation:

how you find the area of a circle is the radius times pi which pi is 3.14

Answer:

6

Step-by-step explanation:

Look at the cube or find one at your house. There are 8 vertices (corners) and 12 edges.

Answer:

28

Step-by-step explanation:

because 28 is the last one

Answer:

It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

(3/5)^3= 27/125

So a is the correct answer

Answer:

Answer option D.

If we simplify the expression (3/5)^3 we can see that ^3 means you cube both the numerator and the denominator since 3/5 is in parenthesis.

Numerator:

3 cubed(3^3) would result in

= 9

Denominator:

5 cubed(5^3) would result in

= 125

Hence, you'll get 9/125.

So your answer is;

Probability is the likelihood or chance that an event will occur. The complement of the probability will be 0.95

Probability is the likelihood or chance that an event will occur. Mathematically:

Probability = expected outcome/total outcome

Given that the probability of an event is P(A) = 0.05, the complement will be expressed as:

P'(A) = 1 - P(A)
P'(A) = 1 - 0.05
P' (A) = 0.95

Hence the complement of the probability will be 0.95

Learn more on probability here: https://brainly.com/question/24756209

Answer: 16

Step-by-step explanation:

Answer:

260+n

Step-by-step explanation:

1hundred and 2 tens +n +1 hundred 4 tens

=120+n+140

=260+n

Knowing the history of credit cards makes you understand why credit cards were created and the reason they were necessary for human societies.

History teaches you about the origin of specific elements, in this case, credit cards, and their evolution over time.

History is about both origin and evolution; due to this:

Learn more about history in: https://brainly.com/question/3583505

#SPJ1

Answer:

11

Step-by-step explanation:

hope this helps loves x

Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.

Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...

Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...

Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer