Answer: When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to". Graph the solution set of: -3 < x < 4 The solution set for this problem will be all values that satisfy both -3 < x and x < 4.
Step-by-step explanation:
Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
The range for the cities in the south is 145 larger than the range for the cities in the north.
We find the range by subtracting the highest and lowest values; in the North, we have:
305 - 58 = 247
In the South, we have:
503 - 111 = 392
The difference in the ranges is 392 - 247 = 145.
Answer:
113.5
Step-by-step explanation:
R+T= 245.5
R=132
245.5-R=T
245.5-132=113.5
T=113.5
Answer:
Step-by-step explanation:
15lawns/9hours= 1.6 lawns mowed per hour
1.6lph*27hours=43.2 lawns
