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4vir4ik [10]
2 years ago
6

Given f(x) = -x + 5, find f(-3). Answer:

Mathematics
2 answers:
user100 [1]2 years ago
8 0

Hey there!

<u>Find </u><u>f(</u><u>-</u><u>3</u><u>)</u><u> </u><u>:</u>

  • Answer :

f(-3) = 8 ✅

  • Explanation :

f(x) = -x + 5

<em>></em><em>></em><em> </em><em>Substitute </em><em>-</em><em>3</em><em> </em><em>for </em><em>x </em><em>in </em><em>f(</em><em>x)</em><em> </em><em>:</em><em> </em>

f(-3) = -(-3) + 5

f(-3) = 3 + 5

f(-3) = 8

Therefore, your answer is f(-3) = 8

Similar question :

↣ brainly.com/question/20922457

Salsk061 [2.6K]2 years ago
8 0

          \rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

       <em>Given f(x)=-x+5, find f(-3).</em>

<em>     </em>\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

We have the function

\longmapsto\sf{f(x)=-x+5}

We need to find

\longmapsto\sf{f(-3)=}

<h3> What we need to do:-</h3>

  • Replace x with -3:-

\longmapsto\sf{f(x)=-(-3)+5}

Simplifying,

\longmapsto\sf{f(x)=3+5}

(which is the exact same thing as 5-3)

Henceforth, We conclude that the answer is

\longmapsto\sf{f(-3)=8}

<h3>Good luck with your studies. \ddot\smile</h3>

#TogetherWeGoFar ~

\rule{300}{1}

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Keith_Richards [23]

Answer:

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Polar coordinates are represented as: r\angle\theta, where 'r' is the length (or magnitude) of the line, and '\theta' is the angle measured from the positive x-axis.

in our case:

7\angle\dfrac{3\pi}{4}

to covert the polar to cartesian:

x = r\cos{\theta}

y = r\sin{\theta}

we can plug in our values:

x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}

y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}

the Cartesian coordinates are:

\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)

\left(x,y\right)=\left(4.95,-4.95\right)

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we'll use the pythagoras theorem to find 'r'

r^2 = x^2+y^2

r^2 = (6.06)^2+(-3.5)^2

r = \sqrt{48.97} \approx 7

the angle can be found by:

\tan{\theta} = \dfrac{y}{x}

\tan{\theta} = \dfrac{3.5}{6.06}

\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}

\theta = 0.5236 \text{radians}

to convert radians to degrees:

\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ

writing in polar coordinates:

r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}

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