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3 years ago

What is the linear function equation represented by the graph? f (x) = ?

Mathematics

2 answers:

scoundrel [369]3 years ago

8 0

Answer:

$f(x)=-\frac{1}{2}x+2$

Step-by-step explanation:

We have been given a graph of a function and we are asked to find the equation for our given function.

We will write formula for our given function in slope-intercept form of equation: $y=mx+b$ , where,

m = Slope of line,

b = The y-intercept or initial value.

Let us find slope of our given line using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$ , where,

$y_2-y_1$ = Difference between two y-coordinates,

$x_2-x_1$ = Difference between two x-coordinates of same y-coordinates.

Upon substituting coordinates of points (0,1) and (2,0) in slope formula we will get,

$m=\frac{0-1}{2-0}$

$m=\frac{-1}{2}$

$m=-\frac{1}{2}$

We can see that initial value of our function is 2, so y-intercept will be 2.

Upon substituting our given values in slope-intercept form of equation we will get our function formula as:

$f(x)=-\frac{1}{2}x+2$

Therefore, the equation $f(x)=-\frac{1}{2}x+2$ is represented by our given function.

Alex Ar [27]3 years ago

5 0

The equation is :
y = -.5/1 + 1

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Step-by-step explanation:

Let us start by defining some events seen:

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Giving the probabilities, we have that

P(L) = probability that codes are hidden by Leia = 0.6

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where P(BB/L) = 70/10 i.e 70%

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Also, P(BB/H) = 1/2 = P(C-3PO/H)

We can say that Han Solo is likely to hide them in aceta BB-8 and C-3PO

To begin,

(a). The question tell us to find the probability that the codes are with BB-8.

First of all, we find P(BB).

P(BB) = P(L)*P(BB/L) + P(H)*P(BB/H)

solving this we get

P(BB) = 0.6*7/10 + 0.4*1/2 = 0.62

Therefore, the probability that the codes are with BB-8 = 0.62

(b). The second question says;

Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?

This tell us to find P(H/C-3PO)

P(H/C-3PO) = P(C-3PO/H)*P(H) / P(C-3PO/H) + P(C-3PO/L)*P(L)

inputting the values gives us;

P(H/C-3PO) = 1/2 * 0.4 / ( 1/2 *0.4 + 3/10 *0.6) = 0.53

SO we have that the probability the codes were hidden by Han Solo = 0.53

cheers I hope this was helpful!!

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