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Irina-Kira [14]
3 years ago
12

Which statement best explains the value of 17 - (-3)?

Mathematics
2 answers:
djverab [1.8K]3 years ago
8 0

B) the additive inverse of -3 is +3, so 17-(-3) = 20 is your answer.

Remember, two negatives = one positive, and so:

- (-3) = 3

17 + 3 = 20

Therefore, B is your answer

hope this helps

m_a_m_a [10]3 years ago
6 0

(-3) = 3

17 + 3 = 20

Answer - B

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Read 2 more answers
If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

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3 years ago
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Answer:

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Step-by-step explanation:

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