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3 years ago

If the function m(x) has the point (5,2) on its graph name a point that would be on the function m(5x).

Mathematics

1 answer:

Law Incorporation [45]3 years ago

6 0

$\bf \begin{array}{|cc|ll} \cline{1-2} x&m(x)\\ \cline{1-2} 5&2\\ 5x&\\ 5(5)& \bf 25 &\\ \cline{1-2} \end{array}$

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Help question attached multiple choice

Rina8888 [55]

ANSWER

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

EXPLANATION

The given trigonometric equation is

$\cos(x) + 2 \cos(x) \sin(x) = 0$

We factor cos(x) to get:

$\cos(x) (1 + 2 \sin(x) ) = 0$

Apply the zero product property to obtain:

$\cos(x) = 0 \: or \: 1 + 2 \sin(x) = 0$

$\cos(x) = 0 \: or \: \sin(x) = - \frac{1}{2}$

Using the unit circle,

$\cos(x) = 0$

when

$x = \frac{\pi}{2}$

and

$x = \frac{3\pi}{2}$

We know

$\sin(y) = \frac{1}{2}$

when

$y= \frac{\pi}{6}$

The sine function is negative in the third and fourth quadrants.

$x = \pi + \frac{\pi}{6} = \frac{7\pi}{6}$

$x = 2\pi - \frac{\pi}{6} = \frac{11\pi}{6}$

Hence the solutions are:

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

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3 years ago

Which statement is true for the set of natural numbers?

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it's not closed under subtraction. Sure 5-3 = 2 is a natural number but 3-5 = -2 is not a natural number

so that leads us to the answer being choice B

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3 years ago

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Karo-lina-s [1.5K]

Answer C : 3x^2+7xy-2y^2

equivalent to the following expression

$(2x^2+4xy-y^2)+(x^2+3xy-y^2)$