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3 years ago

10

Solve the inequality -2x - 8<4

1 answer:

wariber [46]3 years ago

7 0

The answer is X > - 6

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Solve the quadratic equation by completing the square. 6x2 + 4x - 5 = 0

Nikitich [7]

Answer:

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

Step-by-step explanation:

Quadratic Equation given:

$6x^2 + 4x - 5 = 0$

Start dividing both sides by 6.

$\frac{6}{6} x^2 +\frac{4}{6} x - \frac{5}{6} = \frac{0}{6}$

$x^2 +\frac{2}{3} x - \frac{5}{6} = 0$

$x^2 +\frac{2}{3} x = \frac{5}{6}$

Once, $\left( \frac{2}{3} \cdot \frac{1}{2} \right)^2=\frac{1}{9}$

$x^2 +\frac{2}{3} x+\frac{1}{9} = \frac{5}{6}+\frac{1}{9}$

$\left(x+\frac{1}{3} \right)^2 = \frac{17}{18}}$

$x+\frac{1}{3} =\pm\sqrt{\frac{17}{18}} }$

Solving $\sqrt{\frac{17}{18}}$

$\sqrt{\frac{17(18)}{18(18)}}= \sqrt{\frac{306}{324}}=\frac{3\sqrt{34} }{18} =\frac{\sqrt{34} }{6}$

Then,

$x+\frac{1}{3} =\pm\frac{\sqrt{34} }{6}$

$x =-\frac{1}{3} \pm\frac{\sqrt{34} }{6}$

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

6 0

3 years ago

the length and width of a book are in the ratio 3:2. What fraction of the length is the width of the book

sdas [7]

What fraction of the length is the width of the book
is 2:3

5 0

3 years ago

Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.

valina [46]

Answer:

Step-by-step explanation:

( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = <em>( 2x - 2 , 2y )</em>

5 0

3 years ago

Please please help me !!

stira [4]

Answer:

your answer is (-12,2)

3 0

3 years ago

1. Determine el valor de W en las proporciones siguientes:<br> a) (12/w) = (4/3); w =

8090 [49]

Aplicando multiplicación cruzada, tiene-se que el valor de w es w = 9.

Cuando una proporción es dada, con una igualdade de duas proporciones, puede-se aplicar multiplicación cruzada entre ellas.

En este problema, la ecuación que relaciona las proporciones es dada por:

$\frac{12}{w} = \frac{4}{3}$

Aplicando multiplicación cruzada:

$4w = 12(3)$

$4w = 36$

$w = \frac{36}{4}$

$w = 9$

El valor de w es w = 9.

Un problema similar es dado en brainly.com/question/24615636

6 0

3 years ago