which of the following pairs of functions are inverses of each others​

Answer:

A

Step-by-step explanation:

AP EX

The transformation of f(x)=sin(x) to g(x)=sin(x-π/4), means that the function f(x) is shifted to the right by (π/4) units.

A function assigns the value of each element of one set to the other specific element of another set.

The transformation of f(x)=sin(x) to g(x)=sin(x-π/4), means that the function f(x) is shifted to the right by (π/4) units.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.

Given an expression, 4(7/8y-4-3/8y+7)

4(7/8y-4-3/8y+7) = 7/2y-16-3/2y+28

= 1/2(7y-32-3y+56)

= 1/2(4y+24)

= 2y+12

or, 4(1/2y+3) or 4(1/2y-4+7)

Hence, The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer & Step-by-step explanation:

It increased by 10 each year

Year 1 of 8: 70

Year 2 of 8: 80

Year 3 of 8: 90

Year 4 of 8: 100

Year 5 of 8: 110

Year 6 of 8: 120

Year 7 of 8: 130

Year 8 of 8 (Final Year): 140

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

Hope this helps!!! :)

Answer:

i2jwhwkowkwjsw jodenmwk2

Answer:

mean is the average while median is just the middle value in a distribution

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Area: 153.86 m

Step-by-step explanation:

The formula for area of a circle is πr^2  (pi ⋅ radius ⋅ radius).

Here, only the diameter (14) is displayed.

To find the radius, we must divide the diameter by 2.

14/2 = 7

7 is the radius.

Now, we must plug in the numbers.

(3.14 is very commonly used for pi.)

pi ⋅ radius ⋅ radius

3.14 ⋅ 7 ⋅ 7 = 153.86.

Therefore, the area of this circle is 153.86 m.

9514 1404 393

Answer:

Step-by-step explanation:

In this isosceles right triangle, the acute angles are equal and the side lengths have the ratios 1 : 1 : √2

  y° = 90° -45° = 45°

  9 : x : z = 1 : 1 : √2 = 9 : 9 : 9√2

  x = 9; z = 9√2

Answer:

4

Step-by-step explanation:

0 is a significant figure and since there are no 0 in the number after the decimal point its 4 significant figures

Answer:

Already rounded to the nearest tenth

Step-by-step explanation:

Answer: It's already rounded to the nearest tenth. Your good to go.

Step-by-step explanation:

Answer:

A or 53 squared

Step-by-step explanation:

Answer:

6+ x 7=8

Step-by-step explanation:

6 more product of a number and it equals 8

Answer:

D

Step-by-step explanation:

y is directly proportional with x with a constant value.

The constant value ＝y ÷ x ＝35÷2.5 ＝14

y＝14x

y＝14×3.25＝45.5

Answer:

Hi, The.

The domain of a function is the set of all possible values for x. The range is all possible values for y.

You should be able to see these pretty easily from the graph. If I understand your function correctly:

f(x) = square root(x+2) - 3

then x cannot be less than -2. Your domain is x > -2. In interval notation [-2,∞)

The lowest value for y is -3 so the range is y > -3. In interval notation [-3,∞)

Hope this helps!

Answer:

The answer is 25 plants because all the frequencies add up to 25. While this graph could represent plants when they’re growing, all bars would be the same length though as all plants would hit a certain height.

B) Interval 150-155 has the highest frequency as 8 plants are 150-155cm.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

value of each:

A)  100/1000 + 20/1000 + 8/1000 = 128/1000 = 0.128

B)  3/10 = 0.30

C)  7/100 = 0.07

D)  24/1000 = 0.024

Answer:

There's only one answer, and that's x=0.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(3x−1)=6x−3

(3)(3x)+(3)(−1)=6x+−3(Distribute)

9x+−3=6x+−3

9x−3=6x−3

Step 2: Subtract 6x from both sides.

9x−3−6x=6x−3−6x

3x−3=−3

Step 3: Add 3 to both sides.

3x−3+3=−3+3

3x=0

Step 4: Divide both sides by 3.  

[tex]\frac{3x}{3}[/tex]=[tex]\frac{0}{3}[/tex]

x=0

hope this helps

Answer:

The average yearly replacement cost is approximately $32,211,500

Step-by-step explanation:

 Exponential Distribution

P(X < x) = 1 - e -x/

[tex]P(X < x) = 1 - e^{\dfrac{-x}{\mu}}[/tex]

For the CPU, μ = 3 years

The probability that a CPU fails in less than 1 year is therefore;

P(C) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{3}} \approx 0.2835[/tex]

For the RAM, μ = 2 years

The probability that a RAM fails in less than 1 year is therefore;

P(R) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{2}} \approx 0.3935[/tex]

For the hard drive, μ = 5 years

The probability that a hard drive fails in less than 1 year is therefore;

P(H) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{5}} \approx 0.1813[/tex]

The probability that either a CPU, or a RAM or a hard drive fails in 1 year so that a replacement is required, P(C ∪ R ∪ H), is given as follows;

P(C ∪ R ∪ H) = P(C) + P(R) + P(H) - P(C∩R) - P(C∩H) - P(R∩H) + P(C∩R∩H)

∴ P(C ∪ R ∪ H) = 0.2835 + 0.3935 + 0.1813 - (0.2835 × 0.3935) - (0.2835 × 0.1813) -(0.3935 × 0.1813) + (0.2835 × 0.3935 × 0.1813) ≈ 0.64423

∴ P(C ∪ R ∪ H) ≈ 0.64423

There is a 0.64423 chance that a laptop will require replacement

For 100,000 laptops sold a year and a replacement cost of $500 per laptop, we have;

The average yearly replacement cost, 'Cost' is given as follows;

Cost = 500 × 100,000 × 0.64423 = 32,211,500

The average yearly replacement cost, Cost ≈ $32,211,500

37.5

Hope this helps :T

Answer: X = 2 so Y=25, hope this helped!!

Step-by-step explanation:

Answer:

On the 10th day, the suit should cost around $11.38.

Step-by-step explanation:

It was a long process. Not sure if it is right because that price drop is very drastic, but these math problems are always extreme. LOL

Good Luck!!

Answer:

Just over 6 pounds each

Step-by-step explanation:

or exactly 6.25 pounds each

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

The estimate weight of each bundle is 6 pounds.

exactly it's 6.25 (bcoz 50 ÷ 8 is 6.25)

Answer:

b. How to interpret collected data.

Step-by-step explanation:

Answer:

All of the following should be considered when designing a study except __________.

( A.)  the type of research method to use

( B.)  how to interpret collected data (ANSWER)

( C.)  who the participants will be

( D.)  the type of measurement to use

Answer:

a ko ans

= 2×2+9

=4+9

= 13ans

9514 1404 393

Answer:

  22.5

Step-by-step explanation:

The average rate of change on the interval [a, b] is the ratio ...

  (f(b) -f(x))/(b -a)

For your function and interval, it is ...

  (f(0.5) -f(0))/(0.5 -0)

Since f(0) = 0, this reduces to ...

  average rate of change = 2·f(0.5) = 2(5(0.5)² +20(0.5)) = 2(5/4 +10)

  average rate of change = 22.5

Answer:

dude this is easy

Step-by-step explanation:

all you have to do is multiply; 7x13

in this case it equals 91.

=91

Answer:

Step-by-step explanation:

Bonjour,

2x*3x =6x²

2x* -5 = -10x

-3 * 3x = -9x

-3*-5 = 15

=>

6x² -10x  - 9x +15 = 6x ² -19x  +15

Answer:

6x^2 - 19x + 15.

Step-by-step explanation:

(2x - 3)(3x -5)​

= 2x(3x - 5) - 3(3x - 5)

= 6x^2 - 10x - 9x + 15

= 6x^2 - 19x + 15.