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tankabanditka [31]
3 years ago
5

Simplify the expression x - (12 – 5x)

Mathematics
2 answers:
Vinil7 [7]3 years ago
7 0

Answer:

<h2><u><em>6x - 12</em></u></h2>

Step-by-step explanation:

Simplify the expression

x - (12 – 5x) =

x - 12 + 5x =

6x - 12

san4es73 [151]3 years ago
3 0

Answer:

6x-12

Step-by-step explanation:

hope this helps

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How do you find the limit of # (3 x^4 + 4) / ((x^2 - 7)(4 x^2 - 1)) # as x approaches infinity?
KengaRu [80]
\displaystyle\lim_{x\to\infty}\frac{3x^4+4}{(x^2-7)(4x^2-1)}

Expanding the denominator gives


(x^2-7)(4x^2-1)=4x^4-29x^2+7

Then in the whole rational expression, we can divide through by x^4. Since x\to\infty, we assume that x>0, so this is legal.

\dfrac{3x^4+4}{4x^4-29x^2+7}=\dfrac{3+\frac4{x^4}}{4-\dfrac{29}{x^2}+\dfrac7{x^4}}

As x gets arbitrarily large, the rational terms in the numerator and denominator become negligible. So for large x, we have

\dfrac{3x^4+4}{(x^2-7)(4x^2-1)}\approx\dfrac34

And so the limit is \dfrac34.
5 0
3 years ago
write and equation for the line in point-slope form that passes through (2,-5) and is perpendicular to the line 2x-4y+8=0​
Ivenika [448]

bearing in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above?

\bf 2x-4y+8=0\implies -4y=-2x-8\implies y = \cfrac{-2x-8}{-4} \\\\\\ y = \cfrac{-2x}{4}-\cfrac{8}{-4}\implies y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{1}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{1}\implies 2}}

so we're really looking for the equation of a line whose slope is 2 and runs through (2,-5),

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y+5=2x-4\implies y=2x-9

4 0
3 years ago
3/8-(-51/4) simplest form
Ratling [72]

Answer:

13 1/8

Step-by-step explanation:

3/8-(-51/4)

Subtracting a negative is like adding

3/8 + 51/4

get a common denominator

3/8+ 51/4 *2/2

3/8 + 102/8

105/8

8 goes into 105 13 times with 1 left over

13 1/8

3 0
3 years ago
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GarryVolchara [31]

Answer:

PQ = 1/2BC

Step-by-step explanation:

6 0
3 years ago
Find a equivalent expression of 16a - 24 .
skad [1K]

Answer: 8(2a - 3)

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
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