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3 years ago

DetermIne the inverse function of f(x) = 1/3 + 6 Please show work

Mathematics

1 answer:

yawa3891 [41]3 years ago

8 0

Answer:

f(x)⁻¹ = 3x - 18

Step-by-step explanation:

I'm going to assume that 1/3 is the coefficient of the x.

f(x) = 1/3x + 6

y = 1/3x + 6

x = 1/3y + 6

x - 6 = 1/3y

3x - 18 = y

f(x)⁻¹ = 3x - 18

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The question is about square root

Thepotemich [5.8K]

The square root of 4 is 2, but I don't think there is a square root to ten.

6 0

4 years ago

Rob peeled 125 oranges in 5 hours. At that rate, how many oranges<br> would he peel in 12 minutes?

marin [14]

Answer:

$\boxed {\tt 5 \ oranges}$

Step-by-step explanation:

Let's set up a proportion.

$\frac{oranges}{minutes} =\frac{oranges}{minutes}$

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.

There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

$\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}$

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.

$\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}$

$\frac{125 \ }{300 \ }=\frac{x \ }{12 }$

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

$12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12$

$12*\frac{125 \ }{300 \ }=x$

$12*0.416666667=x$

$5=x$

Rob can peel 5 oranges in 12 minutes.

6 0

4 years ago

Read 2 more answers

Write the equation of a line in slope-intercept form that goes through the points (4,−1)

PIT_PIT [208]

Answer:

y = -0.75x + 2

Step-by-step explanation:

y = mx + b

4 0

3 years ago

3x+4y=17 solve for y.

Aloiza [94]

$3x+4y=17\ \ \ /-3x\\\\4y=17-3x\ \ \ \ /:4\\\\y=\frac{17-3x}{4}\\\\y=4.25-0.75x$

7 0

3 years ago

Read 2 more answers

jill has $9.96 in nickles,pennies, and dollar bills. she has 12 more pennies than nickles and fove fewer dollar bills than nickl

AleksandrR [38]

Number of pennies:P
Number of nickels:N
Number of dollar bills:D
P=N+12
N=D+5
1P+5N+100D=996
^given
Therefore
P=(D+5)+12
P=D+17
Plug back into main equation
(D+17)+5(D+5)+100D=996
Combine like terms
106D+42=996
106D=954
D=954/106=9

9 Dollar bills

N=D+5
N=(9)+5=14

14 Nickels

P=N+12
P=(14)+12=26

26 Pennies

26*1+14*5+9*100=996

Final answer:
9 Dollars
14 Nickels
26 Pennies

8 0

4 years ago