Make w the subject of the formula y - aw = 2w - 1

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

6 0

Answer:

$w=\frac{y+1}{a-2} (a\neq 2)$

Step-by-step explanation:

$y - aw=2w-1\\y-aw-2w=-1\\-aw-2w=-1-y\\-w(a-2)=-(y+1)\\w(a-2)=y+1\\w=\frac{y+1}{a-2} (a\neq 2)$

Hope this helps!

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xz_007 [3.2K]

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4 years ago

The table below shows selected points from a function.

FrozenT [24]

Answer:

Step-by-step explanation:

<em>Rate Of Change Of Functions </em>

Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula

$\displaystyle m=\frac{d-b}{c-a}$

If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.

Let's take the first two points from the table (1,1)(2,4)

$\displaystyle m=\frac{4-1}{2-1}=3$