Find all intercepts of y=x^2-2x-3

Mathematics

1 answer:

morpeh [17]3 years ago

3 0

There is a math graping app called desmos it can help you graph the equation and give you the intercepts

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Marta_Voda [28]

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3 years ago

Can someone help me pls!!!

Cerrena [4.2K]

Answer:

First one: Function

Second one: not a function (a function cannot have two outputs)

Third one: Function

Last one: Not a function (doesn't pass vertical line test)

Step-by-step explanation:

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3 years ago

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5% of what number is 85?

Semmy [17]

5% = 0.5

0.5n = 85

Divide by 0.5

0.5n = 85
/0.5 /0.5

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The number is 170.

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3 years ago

Find [5(cos 330 degrees + I sin 330 degrees)]^3

earnstyle [38]

Given a complex number in the form:
$z= \rho [\cos \theta + i \sin \theta]$
The nth-power of this number, $z^n$ , can be calculated as follows:

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$z^n = \rho^n [\cos n\theta + i \sin n\theta ]$
In our case, n=3, so $z^3$ is equal to
$z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ]$ (1)
And since
$3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}$
and both sine and cosine are periodic in $2 \pi$ , (1) becomes
$z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]$

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3 years ago