The sum of three consecutive integers is 915. what are the integers

Mathematics

1 answer:

ra1l [238]3 years ago

4 0

(x-1)+x+(x+1)=915
3x=915
x=305

304, 305, 306

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Answer:

○ $\displaystyle x > -3 \\ 5y ≥ -4x - 10$

Step-by-step explanation:

This system of inequalities has a shared portion at the origin, so we can easily jump to using the zero-interval test [test point (0, 0)] to verify the inequalities as false or true:

$\displaystyle 5[0] ≥ -4[0] - 10 → 0 ≥ -10$ ☑

$\displaystyle 0 > -3$ ☑

Plus, the top inequality has a dashed line ["<" or ">"], and the bottom inequality has a solid line, so this must have an equivalence line underneath each inequality symbol ["≤" or "≥"].

** Hold on though! Although it looks obvious about what the second inequality is, we need to double-check and make sure anyway, just to be on the safe side ☺:

$\displaystyle \frac{5y}{5} ≥ \frac{-4x - 10}{5} → y ≥ -\frac{4}{5}x - 2$

From the y-intercept of $\displaystyle [0, -2],$ we do $\displaystyle \frac{rise}{run}$ by either moving four blocks north over five blocks west or four blocks south over five blocks east [west and south are negatives]. This IS what our solid graph looks like, so we are correct!