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atroni [7]
3 years ago
12

Find the inverse of function f. f(x) = 1 /2x+7

Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Answer:

f^-1/2(x)=x/1/2-7/2

Step-by-step explanation:

Replace f(x) with y

Y=1/2x+7

Interchange the variable

X=1/2y+7

Solve For y

Rewrite the equation as

1/2y+7=x

Add -7 to both side

1/2y+7-7=x-7

1/2y=x-7

Divide each term with 1/2

1/2y/1/2=x/1/2-7/1/2

Y=x/1/2-7/2

Solve for hand replace with f^-1/2(x)

f^-1/2(x)=x/1/2-7/2

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David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to
steposvetlana [31]

Answer:

  8 servings

Step-by-step explanation:

At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...

  40 g/(5 g/serving) = 8 servings

7 0
3 years ago
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Saint Petersburg, Russia and Anchorage, Alaska, both have approximately the same latitude of 60 degrees. That means you can reac
user100 [1]

Answer:

Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) = 10,002.47 KM

Step-by-step explanation:

As earth is a sphere of radius 6371 km.

Therefore at 60 degree latitude, the radius of circle can be calculated as shown below:

= 6371 * Cos 60

= 3185.5 KM

Saint Petersburg is nearly 180 degree about Anchorage by flying directly east.

So Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) can be calculated as shown below:

= (180 * 2 * 3.1416 * 3185.5) / 360

= 10,002.47 KM

5 0
3 years ago
Shana took a test with 50 questions. She lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit que
jeka57 [31]

Answer:

She gained 5 points in overall

Step-by-step explanation:

Shana lost points for each wrong question = 2

So, She lost points for 5 wrong questions =2 \times 5

She lost points for 5 wrong questions = 10 points

Now, She gained points for each correct question = 5

So, She gained points for 3 correct questions =5 \times 3

She gained points for 3 correct questions =15

So, Overall gain = 15-10 = 5

She gained 5 points in overall

Hence the total number of points gained by her is 5 points

4 0
3 years ago
What are the X and Y intercepts of the line in the graph?
vovikov84 [41]

Answer:

Y-int: (0,3)

X-int: (4,0)

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Step-by-step explanation:

3 0
2 years ago
I need desperate help <br>​
Lady_Fox [76]

Answer:

D

Step-by-step explanation:

y equals 1. x equals 15. 15 over 15 is 1.

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3 years ago
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