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german
3 years ago
5

Explain how to use the pattern in the table to rewrite a division problem involving fractions as a multiplication problem

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0
Reverse the fraction
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Solve this rational equation ​
tino4ka555 [31]

Answer:

<h2>x = -1</h2>

Step-by-step explanation:

\text{Domain:}\\\\x-4\neq0\ \wedge\ x-2\neq0\ \wedge\ x^2-6x+8\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x^2-4x-2x+8\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x(x-4)-2(x-4)\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ (x-4)(x-2)\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x-4\neq0\ \wedge\ x-2\neq0\\\\\boxed{D:x\neq4\ \wedge\ x\neq2}

\dfrac{1}{x-4}+\dfrac{x}{x-2}=\dfrac{2}{x^2-6x+8}\\\\\dfrac{1(x-2)}{(x-4)(x-2)}+\dfrac{x(x-4)}{(x-4)(x-2)}=\dfrac{2}{(x-4)(x-2)}\\\\\dfrac{x-2+x(x-4)}{(x-4)(x-2)}=\dfrac{2}{(x-4)(x-2)}\iff x-2+x(x-4)=2\\\\x-2+(x)(x)+(x)(-4)=2\\\\x-2+x^2-4x=2\qquad\text{subtract 2 from both sides}\\\\x^2-3x-4=0\\\\x^2-4x+x-4=0\\\\x(x-4)+1(x-4)=0\\\\(x-4)(x+1)=0\iff x-4=0\ \wedge\ x+1=0\\\\x-4=0\qquad\text{add 4 to both sides}\\x=4\notin D\\\\x+1=0\qquad\text{subtract 1 from both sides}\\x=-1\in D

8 0
3 years ago
Combine like terms: 3x + 11y - 10z - 5y - 4z + 12x
Ivan
Hello there!

First, let's categorize our monomials with the proper variables.

3x + 12x
11y - 5y
-10z -4z

Now, we can make these into simpler terms by adding/subtracting the sectioned variables.

3x + 12x = 15x
11y - 5y = 6y
-10z - 4z = -14z

Now let's place our results into an expression as a final answer.

15x + 6y - 14z is your final expression.

I hope this helps!
7 0
3 years ago
4n+7-2 pls in really need help;-;
Advocard [28]

Answer:

4n + 5

Step-by-step explanation:

This equation cannot be simplified further

Unless you meant 4n + 7 <em>=</em> 2

Then the answer would be -1.25

7 0
3 years ago
Read 2 more answers
Please help me.....................
Alenkasestr [34]

Answer:

87.92 in

Step-by-step explanation:

The formula for the circumference of a circle is C=2πr.

C = 2(3.14)(14) = 87.92

4 0
3 years ago
H(x)=4x-2; find h(-9)
allochka39001 [22]

Answer:

h(-9)=4*(-9)-2=-36-2=-38

3 0
3 years ago
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