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erma4kov [3.2K]
3 years ago
9

Hi, I've recently started doing proofs in math, and I've gotten through most of it, but I am still absolutely clueless when it c

omes to these questions; could someone please help and explain to me how this works??
Question 1: What is the reason for #4?

Given: 4x + 1 = 6x - 2, Prove: x = 3/2

(1) 4x + 1 = 6x - 2

(2) 4x + 3 = 6x

(3) 3 = 2x

(4) 3/2 = x ?

(5) x = 3/2

Question 2:

What is the reason for #3?

Given: 3x - 4 = 2(x + 8), Prove: x = 20

(1) 3x - 4 = 2(x + 8)

(2) 3x - 4 = 2x + 16

(3) 3x = 2x + 20 ?

(4) x = 20

PLEASE HELP I AM DESPERATE TO UNDERSTAND!!
Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0
<span>4x + 1 = 6x - 2, Prove: x = 3/2  
-4x     =-4x
1         =2x-2
-1       =-1
0       =2x-3
0       =2x+(-3)
2/3=2/3 

</span><span>3x - 4 = 2(x + 8), Prove: x = 20 
3x- 4  =2x+16
+4      =+4
3x      =2x+20
-2x     =-2x
1x       =20
</span><span>

</span>
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Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos el arquitecto le pidió
Alekssandra [29.7K]

Answer:

a) 0.64mm

b) 7/25

Step-by-step explanation:

Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos.El arquitecto le pidió cotizar un cable de 16/25 mm de diámetro. en los catálogos disponibles en as tiendas las medidas aparecen expresadas en números decimales como se muestra en la imagen

¿Que debe hacer felipe para saber el diámetro del cable que pidió el arquitecto?

¿que medida en forma de fracción le corresponde al cable que mide 0.28? ¿como lo determinaste? es urgenteeee GRACIAS

a) Dada la dimensión fraccionaria del cable expresada como 16/25 mm, dado que Felipe debe expresar esta fracción en decimal para obtener la medida requerida, dividiremos la expresión usando una división larga como se muestra en el anexo. Desde el archivo adjunto;

16/25 mm = 0,64 mm

b) La medida fraccionaria corresponde al cable que mide 0.28 se expresa como se muestra. Convertir 0,28 a fracción.

0.28 = 28/100 (Tenga en cuenta que dividimos por 100 porque hay dos valores decimales después del punto decimal)

Sobre la simplificación en su término más bajo

28/100 = 4 * 7/4 * 25

28/100 = 4/4 * 7/25

28/100 = 1 * 7/25

28/100 = 7/25

Por lo tanto, la medida fraccionaria que corresponde al cable que mide 0.28 es 7/25.

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4 years ago
What are the solutions of 3x2 + 14x + 16 = 0?
Leya [2.2K]

Answer:

Given the equation: 3x^2+14x+16=0

The general equation of quadratic formula for ax^2+bx+c=0 where a, b and c are constant;

then, the solution for this equation  is given by;

&#10;x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}              ......[1]

From the equation, 3x^2+14x+16=0 we have

a =2, b=14 and c=16

Substitute these values in [1] to solve for x;

&#10;x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-14\pm\sqrt{(14)^2-4(3)(16)}}{2(3)}              

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x=\frac{-14\pm\sqrt{196-192}}{6} =\frac{-14\pm\sqrt{4}}{6}

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then,

x=\frac{-14+2}{6} =\frac{-12}{6} =-2 and

x=\frac{-14-2}{6} =\frac{-16}{6} =\frac{-8}{3}

Therefore, the solutions for the given equation is; x =-2 and x =-\frac{8}{3}



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