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ra1l [238]
3 years ago
11

3 sin(x) + 3 = sin(x)

Mathematics
1 answer:
kumpel [21]3 years ago
8 0

Answer:

no solution

Step-by-step explanation:

3 sin x+3=sin x

3 sin x-sin x=-3

2 sin x=-3

sin x=-3/2

which is impossible as |sin x|≤ 1

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Find the other x-intercept for the parabola defined by this equation y=2x2+3-2​
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Answer:

( \frac{1}{2}, 0 )

Step-by-step explanation:

To find the x- intercepts let y = 0, that is

2x² + 3x - 2 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 2 = - 4 and sum = + 3

The factors are + 4 and - 1

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2x² + 4x - x - 2 = 0 ( factor the first/second and third/fourth terms )

2x(x + 2) - 1 (x + 2) ← factor out (x + 2) from each term

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x + 2 = 0 ⇒ x = - 2

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2}

The x- intercepts are (- 2, 0 ), ( \frac{1}{2}, 0 )

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2 years ago
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