Line 1 and line 4 are parallel
Step-by-step explanation:
Two lines are said to be parallel if they have same slope.
In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.
Line 1:
Applying distributive property,
Line 2:
Line 3:
Applying distributive property,
Line 4:
re-arranging,
Now we have rewritten all the lines in the form 
, where m is the slope. By comparing the values of m, we see:
Therefore, the lines which are parallel are line 1 and line 4.
Learn more about parallel and perpendicular lines:
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Answer:
He should enter the lottery
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Answer:
7 bolas
Step-by-step explanation:
Aquí, queremos saber el número de bolas que se deben sacar para estar seguros de haber extraído al menos dos bolas del mismo color.
De la pregunta, hay 6 tipos y 5 tipos de bolas diferentes. Así que en caso de que saquemos 6 veces y tuviéramos las mismas bolas, estaríamos seguros de que en el séptimo sorteo estaremos cogiendo una bola de otro color ya que hemos agotado el número de bolas del primer tipo y nos queda solo con las bolas del segundo tipo.
Answer:
The rate of change with respect to monthly sales is 4000 - 200t.
Step-by-step explanation:
The sales per month (monthly sales) of the new sound system being sold by Sunny Electronics is given by q(t) = 4000t - 100
units per month, where t is number of months from the introduction of the sound system.
The price of each unit of the sound system charged by Sunny Electronics is given by p(t) = 2000 - .
The rate of change with respect to monthly sales will be given by the equation
.
