3 years ago

Solve for the inverse of the following function: f(x)=4x-16

Mathematics

1 answer:

MatroZZZ [7]3 years ago

6 0

I think it’s (x+16)/4

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Trig: Which complex number's graph is shown?

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ANSWER

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

EXPLANATION

The complex number shown has coordinates (2,-2)

$z = 2 - 2i$

The modulus is

$|z| = \sqrt{ {2}^{2} + {( - 2)}^{2} }$

$|z| = \sqrt{ 8} = 2 \sqrt{2}$

The argument is

$\theta= \tan^{ - 1} ( \frac{ - 2}{2} )$

$\theta= \tan^{ - 1} ( -1) = \frac{7\pi}{4}$

The polar form is

$2 \sqrt{2} ( \cos( \frac{7\pi}{4} + i \sin( \frac{7\pi}{4} ) )$

The first option is correct.

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3 years ago

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1) 1
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2 years ago

What is the distance between points (1, 4) and (9, 16)? round to the nearest tenth.

11Alexandr11 [23.1K]

Answer:

14.4 to nearest tenth.

Step-by-step explanation:

By the Pythagoras theorem:-

Distance = √ [ (y2-y1)^2 + (x2-x1)^2 ] where the 2 points are (x1,y1) and (x2,y2)

= √ [ (16-4)^2 + (9-1)^2]

= √ 208

= 14.4

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2 years ago

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Answer:

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Step-by-step explanation:

Annually compounding interest formula: $PV(1+i)^t$

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