9514 1404 393
Answer:
5
Step-by-step explanation:
Add the latter two equations and you get ...
(a +b) +(a -b) = (7) +(3)
2a = 10 . . . . . . . . . . . . . . . simplify
a = 5 . . . . . . . divide by 2
Answer:
She can only use one gigabite.
Step-by-step explanation:
For this you just have to divide 108 and 6 to get the unit rate in miled
108÷6=?
So since both of these lines are solid lines and not dashed, that means that the inequalities will have either ≤ or ≥.
Starting with the vertical line, since every point on that line is (0,y), this means that this line is x_0. And since the shaded region on this line is to the left of this line, this means that this inequality is x ≤ 0.
Now with this next line, I'll be forming it using the slope-intercept form (y = mx+b, m = slope and b = y-intercept). From looking at the graph, we can tell that the y-intercept is (-5,0). To find the slope, the equation is
. For this, the two points I'll be using are (-4,-8) and (8,1).
Our equation will look and be solved like this: ![\frac{1-(-8)}{8-(-4)}=\frac{9}{12} =\frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-%28-8%29%7D%7B8-%28-4%29%7D%3D%5Cfrac%7B9%7D%7B12%7D%20%3D%5Cfrac%7B3%7D%7B4%7D%20%20)
And since the region shaded is below the line, ≤ symbol will be used with our inequality.
Using the information above, our inequality is y ≤ 3/4x - 5.
In short, the system of inequalities is x ≤ 0 and y ≤ 3/4x - 5.