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Pavel [41]
2 years ago
6

If

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
8 0

Answer:ddddd

Step-by-step explanation:

ddddddd

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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
$300 at 4% for 3 years. what is th interest of money? and what is the balance of the amount
Norma-Jean [14]

Answer:

$36.00

Step-by-step explanation:


3 0
3 years ago
I don't understand how to do this. Can anyone help. Preferably with steps. Thank you in advance!
Andrew [12]
You put the x=6
6³-4(6)²-12(6)+15=15
3 0
2 years ago
I just need to know the horizontal part I can do the other. Please ASAP
11Alexandr11 [23.1K]

Answer:

Enjoy and it would be good if you gave more points

Step-by-step explanation:

6 0
3 years ago
Put the numbers in order from least to greatest.
koban [17]

Answer:

0.5\times{10}^{-5},

0.00025,

3.5\times{10}^{-4},

1.45 \times {10}^{-3},

25.4 \times  {10}^{ - 4},

0.025,

1.25\times {10}^{-1},

0.025 \times10

Step-by-step explanation:

We can do it this way.

First, let us clear off the powers by multipying each number by

{10}^{5}

This implies that,

1.25 \times  {10}^{ - 1} = 1.25 \times  {10}^{ - 1} \times  {10}^{5}

\implies \: 1.25 \times  {10}^{ - 1}  = 125 \times  {10}^{ - 2} \times  {10}^{ - 1} \times {10}^{5}

\implies \: 1.25 \times  {10}^{ - 1}  =125 \times  {10}^{( - 2 - 1 + 5)}

\implies \: 1.25 \times  {10}^{ - 1}  =125 \times {10}^{2}= 125 \times 100 = 12500

0.00025 = 25 \times {10}^{ - 5} \times {10}^{5}

\implies0.00025 = 25 \times {10}^{ - 5 + 5} = 25

0.025 = 25 \times  {10}^{ - 3}=25 \times{10}^{ - 3}\times {10}^{5}

\implies0.025 = 25 \times  {10}^{ - 3}=25 \times{10}^{ - 3 + 5}

\implies0.025 = 25 \times  {10}^{ - 3}=25 \times{10}^{2} = 25 \times 100 = 2500

0.025 \times 10=25 \times  {10}^{ - 3} \times10 \times {10}^{5}

\implies0.025 \times10=25\times{10}^{(- 3 + 1 + 5)}=25\times{10}^{3}

\implies0.025\times10=25\times1000 = 25000

0.5\times {10}^{-5}=0.5\times {10}^{ - 5} \times  {10}^{5}

0.5\times{10}^{-5}=0.5\times {10}^{(- 5+5)}=0.5

1.45 \times {10}^{-3} = 145 \times  {10}^{ - 2} \times {10}^{ - 3} \times {10}^{5}

\implies1.45 \times {10}^{-3} = 145

25.4 \times  {10}^{ - 4} = 254 \times {10}^{-1} \times {10}^{ - 4}  \times  {10}^{5}

\implies25.4 \times {10}^ {-4} = 254

3.5 \times{10}^{-4}=35 \times {10}^{-1} \times  {10}^{ - 4} \times {10}^{5}

\implies3.5 \times{10}^{-4}=35

Arranging in order from the smallest, we have;

0.5,25,35,145,254,2500,12500,25000

Hence,

0.5\times{10}^{-5},

0.00025,

3.5\times{10}^{-4},

1.45 \times {10}^{-3},

25.4 \times  {10}^{ - 4},

0.025,

1.25\times {10}^{-1},

0.025 \times10

5 0
3 years ago
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