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3 years ago

Determine if (3, 7) is a Solution or not Solution to the linear system.

Mathematics

1 answer:

spayn [35]3 years ago

7 0

Answer:

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

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4 years ago

Solve the equation by completing the

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2 years ago

pheobe andy and polly share £270 pheobe gets three times as much as andy who hets twice as much as polly how much do they each g

KIM [24]

Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - £270
Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

B + A + L = £270 (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

B = 3A

3. Andy has twice as much money as Polly and this is expressed as

A = 2L (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,

6L + 2L + L = £270
9L = £270
L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

A = 2L
A = 2(£30)
A = £60

Andy has £60

B = 6L
B = 6(£30)
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Phoebe has £180

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3 years ago

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lbvjy [14]

Answer:

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Step-by-step explanation:

The period does not depend on the amplitude. The period depends on the spring constant, k and the mass, m.

Mathematically,

T = 2pi × sqrt(m/k)

The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same. Increasing the mass increases the period of oscillation.

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3 years ago

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Veronika [31]

Answer:

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4 years ago

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