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2 years ago

(X-3)²=-49solve for x

Mathematics

1 answer:

rjkz [21]2 years ago

3 0

X=10 because. (X-3)=-49. so (10-3) with the power of 2=-49

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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

2 years ago

What is 6(x-3) -4 (x-5)

vladimir1956 [14]

Answer:

2x + 2

Step-by-step explanation:

6(x - 3) - 4(x - 5)

6*x - 6*3 - 4*x - 4 * -5

6x - 18 - 4x + 20

2x + 2

6 0

2 years ago

Read 2 more answers

Find the value of y.<br> m<1 = 3y + 6

Rufina [12.5K]

Step-by-step explanation:

$m > 1 = 3y + 6\\ \frac{m > -1 - 6}{3} = \frac{3y}{3} \\ y = \frac{m > - 5}{3}$

7 0

2 years ago

Y-2=-3(x-7) written in standard form

uysha [10]

Y=2-3(x-7)
You just add +2 to each side and the positive and negative cancel out and it switches it over

8 0

2 years ago

00:00

lidiya [134]

Answer:

$4\frac{3}{8}$ yards of wood

Step-by-step explanation:

The correct question is Hakim is making birdhouses. Each birdhouse uses 7 /8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses?

Answer: Given that the amount of wood need to produce one bird house is 7/8 yard, for 5 birdhouse, the amount of wood needed would be 5 times the number needed for one birdhouse. It is given by:

Amount of wood needed for 5 birdhouse = 5 × amount of wood for 1 birdhouse

Amount of wood needed for 5 birdhouse = 5 × 7/8 yards = 35/8 = $4\frac{3}{8}$ yards of wood

6 0

3 years ago