-3+9x>87 or -x-9>-17

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

7 0

Answer:

$\large\boxed{x\in(-\infty,\ 8)\ \cup\ (10,\ \infty)}$

Step-by-step explanation:

$-3+9x>87\qquad\text{add 3 to both sides}\\\\9x>90\qquad\text{divide both sides by 9}\\\\\boxed{x>10}\to(1)\\\\-x-9>-17\qquad\text{add 9 to both sides}\\\\-x>-8\qquad\text{change the signs}\\\\\boxed{x10\ or\ x$

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Graph the following equation using X- and y-intercepts.<br> x + y = -3

Kitty [74]

Answer:

x-intercept: (-3,0)

y-intercept: (0,-3)

Step-by-step explanation:

Looking at the equation, we can see that it is already in standard form, or in a $Ax+By=C$ format. Whenever a line is put into standard form, the x-intercepts are represented by $(\frac{C}{A},0)$ and the y-intercepts are represented by $(0, \frac{C}{B} )$ . So, let's calculate them by doing the following:

1) Find the x-intercept by using the $(\frac{C}{A},0)$ formula. Substitute the number on the right side of the equation for $C$ and the coefficient for the x term for $A$ . So, in this case, $C = -3$ and $A = 1$ :

$(\frac{C}{A},0)\\\\(\frac{-3}{1},0) \\(-3,0)$

Therefore, the x-intercept is (-3,0).

2) Next, find the y-intercept by using the $(0,\frac{C}{B} )$ formula and substituting the right values. $C$ is still the number on the right side of the equation and $B$ is the coefficient of the y term. So, $C = -3$ and $B = 1$ .