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Pavel [41]
3 years ago
15

3/4 W + 8 = 1/3 w – 7

Mathematics
1 answer:
Montano1993 [528]3 years ago
7 0

Answer:

<h2>W = -36</h2>

Step-by-step explanation:

\dfrac{3}{4}W+8=\dfrac{1}{3}W-7\qquad\text{subtract 8 from both sides}\\\\\dfrac{3}{4}W+8-8=\dfrac{1}{3}W-7-8\\\\\dfrac{3}{4}W=\dfrac{1}{3}W-15\qquad\text{multiply both sides by}\ LCM(4,\ 3)=12\\\\12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\!\diagup_1}W=12\!\!\!\!\!\diagup^4\cdot\dfrac{1}{3\!\!\!\!\diagup_1}W-(12)(15)\\\\(3)(3W)=(4)(1W)-180\\\\9W=4W-180\qquad\text{subtract}\ 4W\ \text{from both sides}\\\\9W-4W=4W-4W-180\\\\5W=-180\qquad\text{divide both sides by 5}\\\\\dfrac{5W}{5}=\dfrac{-180}{5}\\\\W=-36

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4 0
2 years ago
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If m(x) =x+5/x-1 and n(x) =x-3 which function has the same domain as (m.n)(x)
Travka [436]

Answer:

Step-by-step explanation:

m (x) = (x+ 5) / (x -1)        and     n(x) = x - 3.

m(x) = \dfrac{x+5}{x-1}

Hence

m(n) = \dfrac{n+5}{n-1}

but n is a function and n = x-3. Now, replace value of n on m (n)

(m(n))= \dfrac{(x-3)+5}{(x-3)-1}

simplify it

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since (m . n) (x)  is a fraction function, its domain will be all x such that the denominator is NOT 0. That is

x-4\ne 0\rightarrow x\ne 4

among options, only C has the same denominator with (m\bullet n)(x)

Hence their domains are the same.

4 0
3 years ago
The range of y = - 32x ^ 2 + 90x + 3
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Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9

y

=

3

2

x

2

+

4

x

−

9

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[

−

35

3

,

∞

)

Set-Builder Notation:

{

y

∣

∣

∣

y

≥

−

35

3

}

Determine the domain and range.

Domain:

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

Range:

[

−

35

3

,

∞

)

,

{

y

∣

∣

∣

y

≥

−

35

3

}

image of graph

5 0
2 years ago
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prisoha [69]
Answer is 60
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And to find angle P ur gonna need to find 180-120 cuz they’re supplementary angles. (Meaning that they’re equal to 180)
6 0
3 years ago
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