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Hitman42 [59]
3 years ago
13

Honestly if anyone could help be understand how to solve these by factoring, that would be great! Thank you!

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

1) Option 3

2) Option 3

3) Option 3

4) Option 1

5) Option 2

6) Option 3

7) Option 1

Step-by-step explanation:

1) y = x^2 + 4x + 3

Lets split the middle term.

=> y = x^2 + 3x + x + 3

=> y = x(x+3) + 1(x + 3)

=> y = (x+1)(x+3)

∴ x = -3 , -1

2) y = 8x^2 - 22x + 5

Lets split the middle term.

=> y = 8x^2 - 20x - 2x + 5

=> y = 4x(2x - 5) - 1(2x - 5)

=> y = (2x - 5)(4x - 1)

∴ x =\frac{1}{4}  , \frac{5}{2}

3) y = x^2 - 5x

=> y = x(x - 5)

∴ x = 0 , 5

4) y = 12x^2 + 18x

=> y = 6x(2x + 3)

∴ x = \frac{-3}{2} , 0

5) y = x^2 - 7x + 12

Lets split the middle term.

=> y = x^2 -3x - 4x + 12

=> y = x(x - 3) - 4(x - 3)

=> y = (x - 3)(x - 4)

∴ x = 3,4

6) y = 3x^2 + 10x + 8

Lets split the middle term.

=> y = 3x^2 + 6x + 4x + 8

=> y = 3x(x + 2) + 4(x + 2)

=> y = (x + 2)(3x + 4)

∴ x = -2 , \frac{-4}{3}

7) y = x^2 - 4x - 45

Lets split the middle term.

=> y = x^2 - 9x + 5x - 45

=> y = x(x - 9) + 5(x - 9)

=> y = (x - 9)(x + 5)

∴ x = -5 , 9

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musickatia [10]

Answer:

Step-by-step explanation:

The equation of a line

y = mx + c

y - intercept point y

m - slope of the line

x - intercept point x.

c - intercept of the line

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given two points

( -7 , -7) ( -7 , 4)

x1 = -7

y1 = -7

x2 = -7

y2 = 4

Insert the values into the equation

m = 4 - (-7) / -7 -(-7)

m = 4 + 7 / -7 + 7

m = 11/ 0

Step 2: sub any of the two points given into the equation

y= mx + c

y = 11/0x + c

(-7 ,4 )

x = -7

y = 4

4 = 11/0(-7) + c

4 = -77/0 +c

-77/0 is math error which means that the points are not correct

4 0
3 years ago
Anyone can help? Will give brainlist. I need this done before tomorrow :(​
Nitella [24]

Answer:

A - 17.576

Step-by-step explanation:

All we have to do is replace s with 2.6!

V = s^3

v = 2.6^2

v = (2.6)(2.6)(2.6)

v = 6.76 * 2.6

v = 17.576

So, the volume of the cube is 17.576 feet! :)

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2 years ago
How do you convert 20/12 to a proper fraction
julia-pushkina [17]

Answer:

21

Step-by-step explanation:

4 0
3 years ago
Dado dos ángulos complementarios, uno mide (2x + 10) y el otro (x + 20),
rusak2 [61]

Answer:

El valor de <em>x</em> es igual a 20 o <em>x</em> = 20.

Step-by-step explanation:

Lo primero que se debe saber es que <em>dos ángulos complementarios suman un ángulo recto o 90º</em>.

Supongamos que el valor de un ángulo \\ \alpha y un ángulo \\ \beta valen:

\\ \alpha = 2x + 10 [1]

\\ \beta = x + 20 [2]

Como la suma de  \\ \alpha + \beta = 90 [3]

Entonces

\\ \alpha + \beta = (2x + 10) + (x + 20) = 90

Sumamos los factores comunes entre si:

\\ (2x + x) + (10 + 20) = 90

Para la primera expresión debemos recordar que se suman sólo los coeficientes. Así:

\\ (2 + 1)x + (10 + 20) = 90

\\ 3x + 30 = 90

Para despejar la incógnita <em>x</em>, debemos tener en cuenta que <em>una igualdad no se altera si se suma, se resta, se multiplica o divide un mismo valor a cada lado de ella</em>. Por esta razón, para despejar 3x, lo primero que podemos hacer es sumar -30 a cada lado de la expresión (lo que es igual a restar 30 a cada lado de la misma). Así tenemos:

\\ 3x + 30 - 30 = 90 - 30

\\ 3x + 0 = 90 - 30

\\ 3x = 60

Ahora dividimos cada miembro de la igualdad entre 3 (o multiplicamos cada lado de la igualdad por \\ \frac{1}{3} ):

\\ \frac{3}{3}x = \frac{60}{3}

Como sabemos que:

\\ \frac{3}{3} = 1

Entonces:

\\ 1*x = \frac{60}{3}

\\ x = \frac{60}{3}

\\ x = 20

De esta manera, el valor de <em>x</em> es igual a 20 o x = 20.

Lo anterior lo podemos comprobar considerando las ecuaciones [1], [2] y [3]. Así tenemos que:

\\ \alpha = 2x + 10 [1]

Sustituimos x por el valor de 20:

\\ \alpha = 2*20 + 10 = 40 + 10 = 50

\\ \beta = x + 20 [2]

Hacemos lo mismo para [2]:

\\ \beta = 20 + 20

\\ \beta = 40

De esta manera:

\\ \alpha + \beta = 90 [3]

\\ 50 + 40 = 90

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3 years ago
What is the equation of a line that models wages with a slope of 15 that passes through the point (5, 90)?
Klio2033 [76]
Hello : 
<span>the equation is : 
y - 90 = 15(x - 5)</span>
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