For the equation 3(7+x)=3x+k, what value of k will create an equation with infinitely many solutions?

Mathematics

1 answer:

Mila [183]2 years ago

5 0

Answer: k = 21

Step-by-step explanation:

3(7 + x) = 3x + k

21 + 3x = 3x + k

21 + 3x - 3x = 3x + k - 3x

k = 21

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3 years ago

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Hey guys I need some help with #7 so if anyone could help that would be great THANK YOU!!

iVinArrow [24]

The average rate of change obtained from the ratio of change in y to the change in x is 27

The average rate of change can be obtained using the relation :

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at; x1 = -3

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[80-(-82)]/[3-(-6])

162/6

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1 year ago

A parallel system functions whenever at least one of its components works. Consider a parallel system of 5 components, and suppo

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Answer:

Probability that component 4 works given that the system is functioning = 0.434 .

Step-by-step explanation:

We are given that a parallel system functions whenever at least one of its components works.

There are parallel system of 5 components and each component works independently with probability 0.4 .

Let A = Probability of component 4 working properly, P(A) = 0.4 .

Also let S = Probability that system is functioning for whole 5 components, P(S)

Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;

P(A/S) = {Means P(component 4 working and system also working)

divided by P(system is functioning)}

P(A/S) = {In numerator it is P(component 4 working) and in

denominator it is P(system working) = 1 - P(system is not working)}

Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 - $0.6^{5}$ .