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wel
3 years ago
9

'Solve 4x- c= k for x.

Mathematics
2 answers:
MrRa [10]3 years ago
8 0

Answer:The answer would be x=c+k/4

Step-by-step explanation:

Rina8888 [55]3 years ago
7 0

Answer:

C.

Step-by-step explanation:

hope this helps :-)

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vfiekz [6]
You follow the rules for the quadratic formula, where

x= (-b +- √(b²-4ac) )/2a

Filling a, b and c in yields

x = (8 +- √(64-164) ) / 2 =>

x = (8 - √-100)/2 or x = (4 + √-100)/2

Well, √-100 = 10i, so then you simplify to the last answer, D:

x = 4-5i or x=4+5i
7 0
3 years ago
21. In 4 + In(4x - 15) = In(5x + 19)
Alexxx [7]

Answer:

x=-30;\quad \:I\ne \:0

Step-by-step explanation:

In\cdot \:4+In\left(4x-15\right)=In\left(5x+19\right)

\:4+In\left(4x-15\right):\quad -11nI+4nxI\\In\cdot \:4+In\left(4x-15\right)\\=4nI+nI\left(4x-15\right)\\\\\:In\left(4x-15\right):\quad 4nxI-15nI\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=In,\:b=4x,\:c=15\\=In\cdot \:4x-In\cdot \:15\\=4nxI-15nI\\=In\cdot \:4+4nxI-15nI\\\mathrm{Simplify}\:In\cdot \:4+4nxI-15nI:\quad -11nI+4nxI\\In\cdot \:4+4nxI-15nI\\\mathrm{Group\:like\:terms}\\=4nI-15nI+4nxI\\\mathrm{Add\:similar\:elements:}\:4nI-15nI=-11nI\\=-11nI+4nxI\\

\mathrm{Expand\:}In\left(5x+19\right):\quad 5nxI+19nI\\In\left(5x+19\right)\\=nI\left(5x+19\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=In,\:b=5x,\:c=19\\=In\cdot \:5x+In\cdot \:19\\=5nxI+19nI\\\\-11nI+4nxI=5nxI+19nI\\\\\mathrm{Add\:}11nI\mathrm{\:to\:both\:sides}\\-11nI+4nxI+11nI=5nxI+19nI+11nI\\Simplify\\4nxI=5nxI+30nI\\\mathrm{Subtract\:}5nxI\mathrm{\:from\:both\:sides}\\4nxI-5nxI=5nxI+30nI-5nxI\\\mathrm{Simplify}\\-nxI=30nI\\

\mathrm{Divide\:both\:sides\:by\:}-nI;\quad \:I\ne \:0\\\frac{-nxI}{-nI}=\frac{30nI}{-nI};\quad \:I\ne \:0\\\mathrm{Simplify}\\\frac{-nxI}{-nI}=\frac{30nI}{-nI}\\\mathrm{Simplify\:}\frac{-nxI}{-nI}:\quad x\\\frac{-nxI}{-nI}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{nxI}{nI}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{xI}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=x\\\mathrm{Simplify\:}\frac{30nI}{-nI}:\quad -30\\\mathrm{Apply\:the\:fraction\:rule}:

\quad \frac{a}{-b}=-\frac{a}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{30I}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=-30\\x=-30;\quad \:I\ne \:0

3 0
3 years ago
Use the equation below to find v, if u= 12, a=9, and t=4.<br> v=u+at
Lina20 [59]

Answer:

v=48

Step-by-step explanation:

v=?\\\\u=12\\\\a=9\\\\t=4\\\\v=u+at\\\\v=(12)+(9)(4)\\\\v=12+36\\\\v=48

5 0
3 years ago
After traveling 345 miles, the
vfiekz [6]
<h2>GOOD LUCK CHUCK :)))))))))</h2>
5 0
3 years ago
Tabby read 254 pages in 8 days. What is her unit rate in pages per day?
Agata [3.3K]

Answer:

31.75 round it off to 32 pages per day

Step-by-step explanation:

254/8=31.75 but you cant but a decimal so its 32

5 0
3 years ago
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