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skelet666 [1.2K]
3 years ago
15

Find an equation for the inverse of the following relation.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

f^{-1}(x) = \frac{3x-15}{2}

Step-by-step explanation:

Given

y = \frac{2}{3} x + 5

Rearrange making x the subject

Multiply through by 3 to clear the fraction

3y = 2x + 15 ( subtract 15 from both sides )

3y - 15 = 2x ( divide both sides by 2 )

\frac{3y-15}{2} = x

Replace x by f^{-1} (x) and y by x, thus

f^{-1} (x) = \frac{3x-15}{2}

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Determine 30% of 70.<br><br><br> using double number line
Vadim26 [7]

Answer:

100%     -     70

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

30%      -      x

100x=70*30\\100x=2100\\x=\frac{2100}{100}\\x=21

3 0
3 years ago
how many feet are in 3.2km given that 1 mile is 1.609km and 1 mile 5280.A. 2654.85ft B. 8495.52ft C. 9437.42ft D. 10500.93ft
LuckyWell [14K]

Answer:

3.2 km * 1 / 1.609 mi / km * 5280 ft / mi = 10,501 ft

Check:    3280.84 ft / km * 3.2 km = 10,499 ft

5 0
3 years ago
What is the area step by step please to understand and what is perimeter step by step please and the type I don't know please he
Yuliya22 [10]
Area is you multiply 7.9 by 5.9 then divide by two and then the perimeter is you add 7.9+5.9+9.86 I think
6 0
3 years ago
Read 2 more answers
How many different primes are in the prime factorization of 65529009
Tems11 [23]

Answer:

6 different primes.

3, 7, 13, 29, 31 , 89.

Step-by-step explanation:

Try dividing by primes starting with 3:

3 ) 65529009

3 )  21843003

7)  7281001

13)  1040143

29)  80011

31 (  2759

             89.   89 is a prime number.

7 0
3 years ago
0.86 is 3.06 % of what number (Round to the nearest hundredth.)
polet [3.4K]

Answer:

Let the number be x

3.06% = 0.0306

The above statement is written as

0.0306x = 0.86

Divide both sides by 0.0306

x = 0.86/0.0306

<h2>x = 28.10</h2>

Hope this helps you

4 0
3 years ago
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