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2 years ago

İn the system equations above, n is a constant. İf the system has no solution, what is the value of n

Mathematics

1 answer:

jarptica [38.1K]2 years ago

4 0

Answer:

n = - 6

Step-by-step explanation:

Given is the system of linear equations:

nx + 3y = 6
12x - 6y = 0

Convert both equations into slope intercept form:

nx + 3y = 6 ⇒ 3y = - nx + 6 ⇒ y = - 1/3nx + 2
12x - 6y = 0 ⇒ 6y = 12x ⇒ y = 2x

The system has no solution if lines have equal slopes with different y-intercepts:

-1/3n = 2
n = - 6

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3 years ago

A ball is launched into the sky at 54.4 feet per second from a 268.8 meter tall building. The equation for the ball’s height, h,

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Step-by-step explanation:

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3 years ago

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If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 2 miles?

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3 years ago

The sum of the first 150 negative integers is represented using the expression What is the sum of the first 150 negative integer

Kamila [148]

Answer:

C. -11,325

Step-by-step explanation:

To know the answer, is convenient to replace some values of "n" in the sum $\sum_{(n=1)}^{150}[-1-(n-1)]$ .

The result would appear after adding up every value of the expression $\sum_{(n=1)}^{150}[-1-(n-1)]$ when n=1,2,3.....,150.
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When n=2, the expression takes the value of (-2): $[-1-(2-1)]=-1-1=-2$ .
Following this way, for every n, we will obtain -n, then, the sum will be: $-1-2-3-4-5-6-...-150$ . This sum can actually be expressed as $\sum_{n=1}^{150}(-n)$ , which is the result of solving the initial expression of the sum $-1-(n-1)=-1-n+1=-n$ .
Finally, the sum of n=-1 to n=-150 equals -11,325.

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4 years ago

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