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lina2011 [118]
4 years ago
14

Solve the following system of equations. 3x+4y=12

Mathematics
1 answer:
Lesechka [4]4 years ago
6 0

Answer:

(0,3) is the solution set for given system.

Step-by-step explanation:

Given that:

3x+4y=12  ------- eq1

2x-3y= -9 ------- eq2

Multiplying eq1 with 2 and eq2 with 3 we get:

6x + 8y = 24 --------- eq1

6x - 9y = -27 -------- eq2

Subtracting eq2 from 1 we get:

17y = 51

Dividing both sides by 17 we get:

y = 3

Putting value of 3 in eq1 we get:

3x + 4(3) = 12

3x + 12 = 12

3x = 0

Dividing both sides by 3

x = 0

So the solution set will be: (0,3)

i hope it will help you.

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Darina [25.2K]

Since one piece is four time the length <em>x, </em>we can represent that as 4x.

Thus making the equation:

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4 years ago
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3 years ago
Principal is 15000 interest rate is 8.75 simple interest is 5425.00 what is the time
stellarik [79]

in simple interest, I=PRT

I=interest

P=principal

R=rate in decimal form

T=time in years usually, but could be months or weeks, dunno


I'm assuming that the 8.75 is 8.75% or 0.0875 in decimal

so

I=PRT

we know I, P, and R, so solve for T

I=PRT, divide both sides by PR

I/(PR)=T

subsitute

I=5425.00, P=15000, R=0.0875

I/(PR)=5425.00/(15000*0.0857)=4.133333333=T

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Find the half life of a substance which decays according to the function A(t)=600e^-0.05t, where t is time in days. Round to the
Pavel [41]

Answer:

14 days

Step-by-step explanation:

The half life of a substance is the time required until the object has only half of the inicial mass.

So, to find the inicial mass of the object, we use t = 0 in the equation A(t):

A(0) = 600*e^0 = 600

Half of this mass is 300, so we can use A(t) = 300 and then find the time:

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4 years ago
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