2x^3+x^2-15x factored completely would be: <em>x(x+3)(2x-5).</em> Not sure which answer choice but I hope that I was some help.
The general solution for the given equation is 40°+120°n.
The period of g(x) is π.
The range of f(x) is [-1, 1].
- sin(x-30°) = cos 2x
- sin(x-30°) = sin(90°-2x)
- (x-30°) = (90°-2x) + 360°n
- x + 2x = 90° + 30° + 360°n
- 3x = 120° + 360°n
- x = (120° + 360°n)/3
- The general solution (x) is 40° + 120°n.
- g(x) = cos 2x
- The period of cos x is 2π.
- If the multiplying factor of x is 'n', then it decreases the period by n times.
- Here, in g(x), n is 2.
- The period of g(x) is equal to half the period of cos x.
- The period of g(x) = 2π/2
- The period of g(x) is π.
- f(x) = sin(x-30°)
- "Sin" is a trigonometric function which has a range from -1 to 1.
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Answer:
<h3>
<em>a</em><em>.</em><em> </em><em> </em><em>1</em><em>1</em></h3><h3>
<em>b</em><em>.</em><em> </em><em> </em><em>9</em></h3>
<em>Sol</em><em>ution</em><em>,</em>
<em>a</em><em>.</em><em> </em><em> </em><em> </em><em>Given</em><em>,</em>
<em>X=</em><em>4</em>
<em>y</em><em>=</em><em>3</em>
<em>Now</em><em>,</em>
<em>
</em>
<em>b</em><em>.</em><em> </em><em>Given,</em>
<em>a</em><em>=</em><em>-</em><em>2</em>
<em>b</em><em>=</em><em>5</em>
<em>Now</em><em>,</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>