Respuesta:
3x-y-1 = 0
Explicación paso a paso:
La forma estándar de ecuación de una línea se expresa como y = mx + b
M es la pendiente
b es la intersección con el eje y
Dada la coordenada P1 (2,5) y P2 (4,11)
Pendiente m = y2-y1 / x2-x1
m = 11-5 / 4-2
m = 6/2
m = 3
Sustituya m = 3 y (2,5) en y = mx + b
5 = 3 (2) + b
5 = 6 + b
b = 5-6
b = -1
Obtén la ecuación
y = 3x-1
Igualar a cero
y - 3x +1 = 0
Multiplicar por -1
3x-y-1 = 0
Esto da la ecuación requerida
the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75
<u>Step-by-step explanation:</u>
Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.
Let the cost of each pound of trail mix is $y.
and the cost of each pound of jelly beans is $x.
According to question,
For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.
⇒ → (1)
For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23
⇒ → (2)
Solving (1) and (2), we get
3(1 equation)-(2 equation)=0
⇒
⇒
hence,
⇒
⇒
Putting in we get ;
⇒
⇒
⇒
⇒
Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .
Answer:
Step-by-step explanation:
3z = 12
z = 4
5y - 4 = 1
5y = 5
y = 1
2x + 1 - 4 = -7
2x - 3 = -7
2x = -4
x = -2
(-2, 1, 4)
They should get 1.5 (1 1/2) cookies because 3÷2= 1.5