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3 years ago

Rewrite 11/12 and 8/9 so that they have a common denominator.

Mathematics

2 answers:

Vladimir79 [104]3 years ago

7 0

Answer:

11/12 = 33/36. 8/9 = 32/36. 33/36 > 32/36

TiliK225 [7]3 years ago

4 0

Answer:

33/36 > 32/36

so, 11/12 > 8/9

..................

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Solve this rational equation

tino4ka555 [31]

Answer:

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

If f(x) = 2x2 + 3x and g(x) = x – 2, what is (f + g)(2)?

goblinko [34]

For this case we have the following functions:
$f(x) = 2x^2 + 3x

g(x) = x - 2$
The first thing we must do is calculate the sum of functions or equivalently:
$(f + g)(x) = f(x) + g(x)
$
We have then:
$(f + g)(x) = (2x^2 + 3x) + (x - 2)
$
To complete the sum, we must add the terms whose exponents are equal.
We have then:
$(f + g)(x) = 2x^2 + (3x + x) - 2

(f + g)(x) = 2x^2 + 4x - 2$
Then, we evaluate the function for x = 2:
$(f + g)(2) = 2(2)^2 + 4(2) - 2
$
Rewriting we have:
$(f + g)(2) = 2(4) + 4(2) - 2

(f + g)(2) = 8 + 8 - 2

(f + g)(2) = 14$
Answer:
$(f + g)(2) = 14
$

4 0

3 years ago

Cuál es el valor absoluto de/ 9-15 /

Tanzania [10]

Hi there! The anser is 4

First we need to find the value between the stripes. Hence, we need to subtract 15 from 9. Then we get 9 - 15 = - 4. Finally we have to realise that the absolute value stripes make the value insides those stripes positive. So, we get the following:
I 9 - 15 I = I - 4 I = 4

6 0

3 years ago

Rearrange the formula I =

anyanavicka [17]

R=pi/l2 i know this i took the test

3 0

3 years ago

Read 2 more answers

Eighty percent of one store’s customers paid with credit cards. Forty customers came in that day. How many customers paid for th

Yuri [45]

Answer:

Step-by-step explanation:

40 = 100%

how many are 80% ?

well, 80% = 80× 1%

1% = 100% / 100

so, in our case

80% = 80×40/100 = 8×4 = 32

as a shortcut you consider a percentage x as a ratio factor of x/100 you multiply the 100% number with.

in our case

80% = 40 × 80/100 = 32

3 0

3 years ago