Question

При каких значениях х функция y=17-2x/9 принимает отрицательные значения?

Answer 1

17-2х/9<0

-2x/9<-17

х>17*9/2

х>76.5

Answer 2

To find when the function $y = \frac{17 - 2x}{9}$ takes negative values, we need to determine the range of $x$ values that will result in negative values for $y$.

To do this, we set $y$ less than zero and solve for $x$:

$y < 0$

$\frac{17 - 2x}{9} < 0$

To simplify, we can cross-multiply to eliminate the fraction:

$9 \cdot \frac{17 - 2x}{9} < 0 \cdot 9$

$17 - 2x < 0$

Now, let's solve for $x$:

$17 < 2x$

$\frac{17}{2} < x$

$x > \frac{17}{2}$

So, when $x > \frac{17}{2}$, the function $y = \frac{17 - 2x}{9}$ will take negative values.