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denis23 [38]
3 years ago
11

Let f(x)=5x+2 find f(-6)

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0

Answer:

-28

Step-by-step explanation:

Plugging in -6 as x we get 5(-6) + 2, which simplifies to -30 + 2 or -28.

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The table shows a linear function. <br>which equation represents the function?
Bas_tet [7]

Answer:

Option C is correct.

The equation f(x)= -\frac{1}{2}x +4 represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points (x_1, y_1) and  (x_2, y_2) the equation of line is given by:

y -y _1 = m(x-x_1) ......[1] ;where m is the slope given by:

m = \frac{y_2-y_1}{x_2-x_1}

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}

m = \frac{2}{-4} = -\frac{1}{2}

Now, substitute in equation [1]  we have:

y - 2 = -\frac{1}{2} (x-4)

Distributive property i.e,  a\cdot (b+c) = a\cdot b + a\cdot c

y -2 = -\frac{1}{2}x +2

Add both sides 2 we get;

y -2+2 = -\frac{1}{2}x+2+2

Simplify:

y = -\frac{1}{2}x+4

Since, y= f(x)

f(x)= -\frac{1}{2}x +4

therefore, the equation f(x)= -\frac{1}{2}x +4 represents the function.


8 0
3 years ago
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belka [17]

Answer:

Yes, 1:3.

Step-by-step explanation:

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Answer:

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