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Lelechka [254]
3 years ago
6

Which function is the inverse of f(x) = 2x + 3?

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer: \frac{x-3}{2}

Step-by-step explanation:

f(x)=2x+3\\y=2x+3\\x=2y+3\\x-3=2y\\\frac{x-3}{2}=y

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Write each set of fractions with the lowest common denominator and then find which fraction is greater. 4/7 and 5/8 3/8 and 4/9
Elan Coil [88]

Answer:

\frac{32}{56}\ < \frac{35}{56}

\frac{27}{72} \ < \frac{32}{72}

\frac{20}{24}\ < \frac{21}{24}

\frac{9}{30}\ >\frac{8}{30}

Step-by-step explanation:

Given that,

First set of fraction is \frac{4}{7}\ and \ \frac{5}{8}.

Second set of fraction is \frac{3}{8}\ and \ \frac{4}{9}.

Third set of fraction is \frac{5}{6}\ and \ \frac{7}{8}.

Fourth set of fraction is \frac{3}{10}\ and \ \frac{4}{15}.

Now,

Considering the first set of fraction:

LCM of 7 and 8 is 56. Now, multiply by 8 to both numerator and denominator to \frac{4}{7}. and multiply by 7 to both the numerator and denominator to \frac{5}{8}. We get new set of fraction as \frac{32}{56}\ and\ \frac{35}{56}.

∴\frac{32}{56}\ < \frac{35}{56}

Again considering the second set of fraction:

LCM of 8 and 9 is 72. Now, multiply by 9 to both the numerator and denominator to \frac{3}{8}. and multiply by 8 to both the numerator and denominator to \frac{4}{9}. We get new set of fraction as \frac{27}{72} \ and \ \frac{32}{72}.

∴\frac{27}{72} \ < \frac{32}{72}.

Again considering the third set of fraction:

LCM of 6 and 8 is 24. Now, multiply by 4 to both the numerator and denominator to \frac{5}{6}. and multiply by 3 to both the numerator and denominator to \frac{7}{8}. We get the new set of fraction as \frac{20}{24}\ and \ \frac{21}{24}.

∴\frac{20}{24}\ < \frac{21}{24}.

Again considering the fourth set of fraction:

LCM of 10 and 15 is 30.Now, multiply by 3 to both the numerator and denominator to \frac{3}{10}. and multiply by 2 to both the numerator and denominator to \frac{4}{15}.We, get the new set of fraction as \frac{9}{30}\ and \ \frac{8}{30}.

∴ \frac{9}{30}\ >\frac{8}{30}

6 0
4 years ago
Keiko runs 8 miles in 59 minutes. how many miles does she run per minute?
denis-greek [22]

Answer:

7 Minutes  and 22.5 Seconds Per Mile

Step-by-step explanation:

58/8 = 7.375

Then you have to get the .375 into minutes.

0.375*60 = 22.5


4 0
3 years ago
Read 2 more answers
Select True or False.
nikitadnepr [17]

Answer:true

Step-by-step explanation:

5x-3(2x-4)=

1) solve the parentheses

5x-6x-12=0

2) we just can rest the X

5x-6x=X

3) X-12=0

4) The order of factors does not alter the product

12-X=0

3 0
3 years ago
Read 2 more answers
Each package contains 4 identical bags of rice and a 7 pound bag of beans
Taya2010 [7]
Whats the question? I cant answer the question if there is no question.
4 0
2 years ago
What is the gcf for 84
kati45 [8]
84

84 = 42 x 2

The greatest common factor is 42, because 84/2 = 42, & you want the biggest number possible

Usually i need two or more numbers so.. this is the best i can get out of one number

hope this helps tho :D
7 0
3 years ago
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