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Yuri [45]
3 years ago
6

Adding fractions 1/4 + 2/3=

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer:

The addition of given fractions is \frac{11}{12}

Therefore \frac{1}{4}+\frac{2}{3}=\frac{11}{12}

Step-by-step explanation:

Given fractional expression is \frac{1}{4}+\frac{2}{3}

To find the addition of given fractions :

Adding the given fractions we get

\frac{1}{4}+\frac{2}{3}

=\frac{1(3)+2(4)}{12} ( here taking 12 as LCM )

=\frac{3+8}{12}

=\frac{11}{12}

Therefore \frac{1}{4}+\frac{2}{3}=\frac{11}{12}

The addition of given fractions is \frac{11}{12}

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Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$.
Slav-nsk [51]

Answer:

<h2>2</h2>

Step-by-step explanation:

Given g(x)=5x-4 and g(x)=f^{-1}(x)-3

Substituting g(x) =  5x-4 into the second equation we have;

5x-4 =  f^{-1}(x)-3

f^{-1}(x) = 5x-4+3

f^{-1}(x) = 5x-1

To get f(x), let us first make y to be equal  f^{-1}(x)

y = 5x-1

expressing x in terms of y to get f(x), we have;

5x = y+1

x = y/5+1/5

replacing y with x, we will have;

y = x/5 + 1/5

F(x) = x/5 + 1/5

Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5

5a + 5b = 5(1/5)+ 5(1/5)

5a+5b = 1+1

5a+5b = 2

8 0
3 years ago
Write 6 over 10 in simplest form
miv72 [106K]

Answer:

\frac{6}{10} = \frac{3}{5}

Step-by-step explanation:

You have to divide this by "2"

4 0
3 years ago
Read 2 more answers
I NEED HELP ON THIS PLZ ASAP!!!
podryga [215]

Answer:

The answer is B.

Step-by-step explanation:

Hope it helps!!

4 0
3 years ago
The difference between x and 6 is less than 14
UNO [17]

Answer:

X-6=14

Add 6 on both sides

X=20

7 0
3 years ago
Glenn needs to cut pieces of a lanyard that are each 1 meter long to make lanyard key chains. If he has 3 pieces of lanyard that
Novosadov [1.4K]

Answer:

30

Step-by-step explanation:

3 pieces each 1 dekameter long

1 dekameter = 10 meters

Convert dekameters to meters

3 pieces each 10 meters long

Multiply

Glenn has 30 meters of lanyard

Divide

He can cut 30 1-meter pieces

Hope this helps :)

3 0
3 years ago
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