Which number is the additive inverse of -10 1/4 A 4/41.B -4 1/10C 0D 10 1/4

Mathematics

2 answers:

german2 years ago

7 0

Answer: 10 1/4 (Letter D)

Step-by-step explanation:

Juli2301 [7.4K]2 years ago

3 0

Answer = 10 1/4 (Letter D)

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Help <br><br> simply. this math problem

saveliy_v [14]

- 4 1/5 = -21/5 = -42/10

-13 1/10 = -131/10

-42/10 - -131/10=

-42/10 + 131/10 = 89/10 = 8 9/10

answer is A

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Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
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$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

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konstantin123 [22]

Answer:

x>2

Step-by-step explanation:

Longer than two hours is >.

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