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solmaris [256]
3 years ago
13

Solve the system of equations below y=3/2x-2 and 2x+y=-4

Mathematics
2 answers:
Dvinal [7]3 years ago
8 0
Since y=(3/2)x-2
subsitute 3/2x-2 for y in 2nd equation
2x+3/2x-2=-4
add 2 to both sides
2x+3/2x=-2
times  2 both sides
4x+3x=-4
7x=-4
divide both sides by 7
x=-4/7
sub that back
y=3/2x-2
y=3/2(-4/7)-2
y=-12/14-2
y=-6/7-2
y=-6/7-14/7
y=-20/7


(x,y)
(-4/7,-20/7)
Anettt [7]3 years ago
5 0
Rewrite the 2nd equation as 

y = -4 -2x

then substitute into the 1st equation so you get

-4 - 2x =  \frac{3}{2} x - 2

then solve for x. 

when you get the value of x, substitute it into either equation to find y

hope it helps
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Find the first, fourth, and eighth terms of the sequence. A(n) = –5 • 3n–1 please help me
Korvikt [17]

Answer:

First term: -10

Fourth term: -55

Eighth term: -115

Step-by-step explanation:

I am assuming the means -5(3n-1). To find the first term, plug in 1. You will get -5(3*1-1) or -5*2 or -10.

To find the fourth term, plug in 4. You will get -5(3*4-1) or -5*11 or -55.

To find the eighth term, plug in 8. You will get -5(3*8-1) or -5*23 or -115.

So the answers are -10, -55, and -115.

6 0
4 years ago
Read 2 more answers
7. Find a conversion factor between cubic meters and cubic
RUDIKE [14]

Step-by-step explanation:

We know that,

1 m = 100 cm

the conversion from m² to cm² is as follows :

(1 m)² = (100 cm)² = 10000 cm²

A conversion factor between cubic meters and cubic  centimeters is as follows :

(1 cm)³ = (100 cm)³

= 1000000 cm³

To convert m³ to cm³, multiply by 1000000.

Hence, this is the required solution.

3 0
3 years ago
Which could be the length, width, and height of a rectangular prism with a volume of 81 cm'3?
dolphi86 [110]

Answer:

 c  

Step-by-step explanation:

3x3x9=81

5 0
3 years ago
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3. Samuel tiene 11 cajas con mosaicos cuadrados de 20 cm por
mihalych1998 [28]

Answer:

Primero veamos el área de la pared, es decir, el área total que Samuel debe cubrir.

La pared es de 3m por 2m.

Entonces el area es:

A = 3m*¨2m = 6m^2.

Ahora veamos los mosaicos.

Cada mosaico es un cuadrado de 20cm por 20cm.

El primer paso sería cambiar las unidades para tener metros aca también.

1cm = 0.01m

entonces.

20cm = 20*0.01m = 0.2m.

Entonces cada mosaico es:

0.2m por 0.2m

El área de cada mosaico es:

a = 0.2m*0.2m = 0.04m^2.

En una caja de mosaicos hay 14 mosaicos, entonces con una caja Samuel puede cubrir 14 veces a, o:

14*0.04m^2 = 0.56m^2.

Y Samuel tiene 11 cajas, entonces tenemos 11 veces lo de arriba:

11*0.56m^2 = 6.16m^2.

Y el área de la pared es 6m^2.

6.16m^2 > 6m^2

Entonces con las 11 cajas de mosaicos podemos cubrir completamente esa pared, y vamos a tener algunos mosaicos sobrantes.

Entonces Samuel no debe comprar mas cajas.

6 0
3 years ago
PLEASE HELP ASSSAAAPPPP
Jlenok [28]
Replace x with -2
 y = 12 * 3^-2

y = 12 * 1/9

 y = 4/3

Answer is A
3 0
3 years ago
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