3x+x=180
x=45 is the right answer
<span>Put it in the form of y =mx +b, or in this instance, y> mx +b
move the (1/2) x to the right by adding it to both sides of the inequality
(1/3)y>(1/2)x +2
Multiply by 3 on both sides to get y by itself.
y>(3/2) x +6
This is a graph with y intercept of (0,6) and a moderate upward and to the right slope. Because it is > , the line on the graph will NOT be part of the solution.
The easiest way to find the side of the graph that the inequality satisfies is to use (0,0) and see if it works or doesn't work. In the original equation, 0-0>2 does NOT work, so the area where the inequality works is to the up and left of the graph, which should be a dotted line to show that the inequality is greater than only.
The point (6,-2) should work.
Test it. 6*(1/3)-(-2)*(1/2)>0 ; 2-(-1)=3, and 3>2 It does work.
The point (6,2) should not work
Test it. 6 *(1/3)-2(1/2)=2-1 ; 1 is NOT >2, so it does not work.
If the graph goes through the origin, then pick a point near the graph with a small x or y.</span>
<h2>
The all roots are equation are 1, - 1 and - 2.</h2>
Step-by-step explanation:
The given cubic polynomial:
k(x) = + 2 - x -2
To find, the all roots are + 2 - x -2 = ?
∴ k(x) = + 2 - x -2
⇒ + 2 - x -2 = 0
⇒ (x + 2) - 1(x + 2) = 0
⇒ ( - 1)(x + 2) = 0
⇒ - 1 = 0 and x + 2 = 0
⇒ - 1 = 0
⇒ = 1
⇒ x = ± 1 = 1, - 1
or, x + 2 = 0
⇒ x = - 2
Thus, the all roots are equation are 1, - 1 and - 2.
We can justify this in 2 ways:
1. Think about what 28 x 101 means. It means that you have 28 added together 101 times. Therefore if you have 28 added together 100 times and you add it again, it means 28 added together 101 times.
2. 28 x 101 = 28 x (100 + 1) = 28 x 100 + 28 x 1 = 28 x 100 + 28