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kotykmax [81]
2 years ago
5

What’s the inverse function for f(x) 6x-5

Mathematics
1 answer:
MAXImum [283]2 years ago
6 0

Answer:

g(x)= (1/6)x+5/6 is the inverse function of f(x)

Step-by-step explanation:

We have y= 6x-5

Then, we take x depending on y like:

6x-5=y

6x-5 +5 = y + 5

6x= y+5

6x/6=y/6 + 5/6

x= y/6+ 5/6

Now, we replace x by the function g(x) and y by the variable x, then we have

g(x)= (1/6)x+5/6 is the inverse function of f(x).

Hope that you understand.

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Work the following pricing problems for services rendered. (For all calculations use hundredths.)
Lesechka [4]

Answer:

Hourly Rate = $12.22 per hour

Step-by-step explanation:

\text{Labor Time = }4\tfrac{1}{2}=4.5\thinspace{ hours}

Overhead Rate = 95%

Retail price of parts = $134.75

Total cost of job = $241.98

Cost of labor = Total cost - Retail price

                      = 241.98 - 134.75

                      = $107.23

Now, labor works for 4.5 hours and ears a total amount of $107.23

\implies\text{Amount earned in one hour or hourly rate = }\frac{107.23}{4.5}\\\\\implies \text{Hourly rate = }\$23.83\text{ per hour}

Now, Labor will get 95% overhead rate

⇒ The labor is getting 100% already but an overhead of 95% is also given

\text{So, Hourly Rate = }\frac{23.83}{1+0.95}\\\\\bf\implies\textbf{Hourly Rate = }\$12.22\textbf{ per hour}

3 0
3 years ago
Solve for x, rounding to the nearest hundredth.<br> 10^3x = 98
Anna71 [15]

Answer:

see explanation

Step-by-step explanation:

10^3x=98

1000x=98

x=98/1000

x=49/500

x=0.98

if it is rounded to the nearest hundredth then x=0

8 0
3 years ago
You have a coupon good for $6 off the price of any large pizza. You also get a 20% discount on any pizza if you show your studen
Bas_tet [7]
How much is the pizza? it depends on the price
6 0
3 years ago
An open box with a square base is to have a volume of 18 ft^3.
kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

5 0
2 years ago
A basketball team wants to see if its fans like its new uniforms. Which description represents a population?
nadezda [96]

Answer:

xd

Step-by-step explanation:

xd

se pone primero la x y despues la d, se dice gracias crick

3 0
2 years ago
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