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3 years ago

Determine if the point (-6,8) is a solution to the following system of equations y=1/2x-5 and x+3y=-30

1 answer:

3 0

To do this you would plug in the x values and the y value into both equations. So 8=-3 -5 and -6+24=-30, bothof which are incorrect.

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Brainlest for answered

Helen [10]

Answer:

Hello! answer: 4/5

Step-by-step explanation:

20 ÷ 5 = 4 25 ÷ 5 = 5 that is 4/5 therefore 4/5 is the answer because we cannot reduce any further HOPE THAT HELPS!

4 0

3 years ago

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How many times is 1 trillion greater than 1 billion

vodomira [7]

1 trillion can be written as 1,000,000,000,000

1 billion can be written as 1,000,000,000

There are 3 more 0’s in 1 trillion than there are in 1 billion, so therefore 1 trillion is 1,000 times greater than 1 billion.

If you have any further questions feel free to ask.

Hope this helps

8 0

3 years ago

(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

jolli1 [7]

Answer:

$y(x)=3e^{5x}-2xe^{5x}$

Step-by-step explanation:

The given differential equation is $y''-10y'+25y=0$

The characteristics equation is given by

$r^2-10r+25=0$

Finding the values of r

$r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5$

We got a repeated roots. Hence, the solution of the differential equation is given by

$y(x)=c_1e^{5x}+c_2xe^{5x}...(i)$

On differentiating, we get

$y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)$

Apply the initial condition y (0)= 3 in equation (i)

$3=c_1e^{0}+0\\\\c_1=3$

Now, apply the initial condition y' (0)= 13 in equation (ii)

$13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2$

Therefore, the solution of the differential equation is

$y(x)=3e^{5x}-2xe^{5x}$

5 0

3 years ago

440 divided by 2/5 please

emmainna [20.7K]

The answer for this question is 1,100

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3 years ago

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What is 8.786 rounded to nearest tenth

pentagon [3]

8.8 because .78 rounded up is .8

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3 years ago

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