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MA_775_DIABLO [31]
3 years ago
9

Find the equation of a line that is parallel to 2x-8y=16 and passes through the point (0,3).

Mathematics
1 answer:
denis23 [38]3 years ago
3 0
-8y = -2x + 16
y = 1/4x - 2
y = 1/4x + 3
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The graph below shows four straight lines, W, X, Y, and Z: Graph of line W going through ordered pairs negative 4, negative 2 an
mestny [16]
Given:
<span>Graph of line W going through ordered pairs negative 4, negative 2 and negative 1, 5.
Graph of line X going through ordered pairs negative 2, negative 1 and 0, 5.
Graph of line Y going through ordered pairs negative 1, negative 3 and 1, 3.
Graph of line Z going through ordered pairs 0, negative 5 and 2, 1

Slope formula: m = y2-y1 / x2 - x1
mW = 5 - (-2) / -1 - (-4) = 5 + 2 / -1+ 4 = 7 / 3 = 2 1/3
mX = 5 - (-1) / 0 - (-2) = 5 + 1 / + 2 = 6 / 2 = 3
mY = 3 - (-3) / 1 - (-1) = 3 + 3 / 1 + 1 = 6 / 2 = 3
mZ = 1 - (-5) / 2 - 0 = 1 + 5 / 2 = 6 /2 = 3

</span><span>f(x) = 3x + 5
X: </span><span>negative 2, negative 1 and 0, 5
f(-2) = 3(-2) + 5 = -6 + 5 = -1
f(0) = 3(0) + 5 = 0 + 5 = 5

Y: </span><span>negative 1, negative 3 and 1, 3
f(-1) = 3(-1) + 5 = -3 + 5 = 2  </span>≠ -3<span>
f(1) = 3(1) + 5 = 3 + 5 = 8 </span>≠ 3

Z: <span>0, negative 5 and 2, 1
f(0) = 3(0) + 5 = 0 + 5 = 5 </span>≠ -5
f(2) = 3(2) + 5 = 6 + 5 = 11 ≠ 1


<span>LINE X is represented by the function f(x) = 3x + 5</span>
3 0
3 years ago
Read 2 more answers
4,464 divided by 18<br> Please and thanks
nataly862011 [7]
4,464 divided by 18 is 248

6 0
3 years ago
Read 2 more answers
El costo de producir 10 juegos de video al día es de 350 dólares , mientras que producir 30 juegos del mismo tipo al día cuestan
Dovator [93]

Answer:

El coste de producir un juego de vídeo es de 125 dólares.

Step-by-step explanation:

(This exercise is written in Spanish and is incomplete. Complete statement will be presented below)

El costo de producir 10 juegos de video al día es de 350 dólares , mientras que producir 30 juegos del mismo tipo al día cuestan 850 dólares . Si suponemos un modelo lineal como el descrito anteriormente , determine:

¿Cuál es el costo de producir un juego de vídeo?

(Explanation will be held in Spanish)

El modelo lineal es un polinomio de primer orden de la forma:

y = a\cdot x + b

Donde:

x - Variable independiente (eje x - Cantidad de juegos de vídeo producidos - Adimensional)

y - Variable dependiente (eje y - Coste de producción de juegos de vídeo - Dólares)

a - Pendiente de la función.

b - Intercepto en el eje y.

Dados los dos costes para dos cuotas distintas de producción, se construye el siguiente sistema de ecuaciones lineales:

10\cdot a + b = 350

30 \cdot a + b = 850

Se resuelve el sistema con algo de manipulación algebraica:

(30\cdot a + b) - (10\cdot a + b) = 850 - 350

20 \cdot a = 500

a = 25

Luego:

b = 850 - 30\cdot a

b = 100

La ecuación lineal es:

y = 25\cdot x +100

Finalmente, el coste de producir un juego de vídeo es:

y = 25 \cdot (1) + 100

y = 125

El coste de producir un juego de vídeo es de 125 dólares.

7 0
4 years ago
Here's the pic for #14
gregori [183]
Where because I do not see it 

7 0
3 years ago
Solve x/-3 = -15.<br><br> A.) -45<br> B.) 5<br> C.) -5<br> D.) 45<br> this is multiple choice
Fiesta28 [93]

Answer:

x= 45

Step-by-step explanation:

x= -15*-3

x= 45

6 0
3 years ago
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