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ikadub [295]
3 years ago
8

Solve x2 + 10x = -21.

Mathematics
1 answer:
Arisa [49]3 years ago
8 0
Answer is x = -7 and x = -3

<span> x2 + 10x = -21
</span><span> x2 + 10x + 21 = 0
</span>(x +3) (x +7) = 0

(x +3) = 0
and
(x + 7) = 0
so x = - 3 and x = -7
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Answer:

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3 years ago
-3x+3y=12
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Answer:

C

Step-by-step explanation:

  1. Reform the first graph: -3x + 3y = 12; 3y = 12 + 3x; y = 4 + x; y = x + 4
  2. Compare y = x + 4 and y = x + 4: they are equal, thus the same slope (1) and the same y-intercept (4)

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Explain, in words, how you can identify a perfect square trinomial whose leading coefficient is 1
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When the leading coefficient is 1,
If the constant ( c term) is a perfect square and the b term is 2* the square root of the c term.
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4 0
3 years ago
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4 0
3 years ago
Simplify your answer to the previous part and enter a differential equation in terms of the dependent variable xx satisfied by x
rusak2 [61]

Answer:

x'-5x=0, or x''-25x=0, or x'''-125x=0

Step-by-step explanation:

The function x(t)=e^{5t} is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.

Using rules of differentiation, we obtain that x'(t)=5e^{5t}=5x \text{ then }x'-5x=0. Differentiate again to obtain, x''(t)=25e^{5t}=25x=5x' \text{ then }x''-25x=0=x''-5x'. Repeating this process, x'''(t)=125e^{5t}=125x=25x' \text{ then }x'''-125x=0=x'''-25x'.

This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.

7 0
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