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alina1380 [7]
3 years ago
12

Consider the function f(x)=‐⅔x+5

Mathematics
2 answers:
mr_godi [17]3 years ago
7 0

Here, A polynomial f(x) is given in the Question and we have to find the value of f(1/2). This can be done by substituting x by 1/2.

Given,

f(x) =  \dfrac{ - 2}{3} x + 5

So, replace every x in this expression by 1/2, because we have to find the value of f(1/2)

f( \frac{1}{2} ) =   \dfrac{ - 2}{3}  \times  \dfrac{1}{2}  + 5

f( \frac{1}{2} ) =  \dfrac{ - 1}{3}  + 5

So, let's simplify it by solving further,

f( \frac{1}{2} ) =  \dfrac{ - 1 + 15}{3}

f( \frac{1}{2} ) =  \dfrac{14}{3}

So, the final value of f(1/2) is 14/3 that is around:

{ \boxed{ \bf{ \red{4.67}}}}

And we are done !!

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

Naya [18.7K]3 years ago
6 0

Answer:

<h2>f( \frac{1}{2} ) =  \frac{14}{3}</h2>

Step-by-step explanation:

<h3>f(x) =  -  \frac{2}{3} x + 5</h3>

To find f(½) substitute the value of x that's ½ into f(x). That is for every x in f(x) replace it with 1/2

That's

<h3>f( \frac{1}{2} ) =  -  \frac{2}{3} ( \frac{1}{2} ) + 5 \\  =  -  \frac{1}{3}  + 5</h3>

<u>Find the LCM</u>

The LCM is 3

We have

<h3>-  \frac{1}{3}  +  \frac{5}{1}  \\   \rarr  \frac{ - 1 + 15}{3}</h3>

We have the final answer as

<h3>f( \frac{1}{2} ) =  \frac{14}{3}</h3>

Hope this helps you

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<h2>Answer:</h2>

The graph is shown in the Figure below

<h2>Step-by-step explanation:</h2>

In this exercise, we have an equation. On the left side we have a straight line with slope m=4 and there is no any y-intercept. On the right side, on the other had, we also have a straight line, but the slope here is  m=-4. Therefore, by plotting these two straight lines, we have that the solution is the origin, that is, the point (0, 0).


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