in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.
so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.
let's hmmm check the point say (0,2), x = 0, y = 2.
y > x + 3
2 > 0 + 3
2 > 3 <--- is that true? is 2 really larger than 3? nope, so is false.
that simply means that the point (0, 2) is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.
y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.
check the picture below.
Answer:
amount is ≤ 500
Step-by-step explanation:
Maximum means less than or equal to
amount is ≤ 500
Answer:
1.68
Step-by-step explanation:
1. Move all of the terms to the left side and set the problem equal to zero.
2. Set each factor equal to zero.
The given equation is in what we know as "vertex form".
In this form, the equation enters the order of
, where vertex is
.
In this case, we have
for
and for
we have
. So, the vertex is
Answer:
x = -3.5
Step-by-step explanation:
First we create the equation.
Let x = the unknown number
7x-1 = 5x - 8
Add 8 to both sides
7x + 7 = 5x
Subtract 7x
7 = -2x
Divide by 2
-7/2 = x
-3.5 = x