5 is the slope and 3 is the y-intercept
1. For x<3, h(x)=x+2
now x+2 is an increasing line (a practical way to check, h(1)=3, h(2)=4)
the largest value it takes is at 3, not inclusive, so h(3)=5 not inclusive.
Range_1= (-∞, 5)
2. for x> or equal to 3, h(x)=-x+8, which is a decreasing line (check h(4)=4, h(5)=3 )
so this line takes its maximal value at x=3, f(3)=5 and then takes any other value to -∞.
Range_2=(-∞,5]
3. Range(h)=Range1∪Range2=(-∞, 5)∪(-∞,5]=(-∞,5] (B)
Answer:
the graph in the attached figure
Step-by-step explanation:
we have
![7x+3y](https://tex.z-dn.net/?f=7x%2B3y%3C6-5x)
isolate the variable y
Subtract 7x both sides
![3y](https://tex.z-dn.net/?f=3y%3C6-5x-7x)
![3y](https://tex.z-dn.net/?f=3y%3C-12x%2B6)
Divide by 3 both sides
![y](https://tex.z-dn.net/?f=y%3C-4x%2B2)
The solution of the inequality is the shaded area below the dashed line
The equation of the shaded line is ![y=-4x+2](https://tex.z-dn.net/?f=y%3D-4x%2B2)
The slope of the dashed line is negative ![m=-4](https://tex.z-dn.net/?f=m%3D-4)
The y-intercept of the dashed line is the point ![(0,2)](https://tex.z-dn.net/?f=%280%2C2%29)
The x-intercept of the dashed line is the point ![(0.5,0)](https://tex.z-dn.net/?f=%280.5%2C0%29)
To graph the inequality plot the intercepts and shade the area below the dashed line
using a graphing tool
the graph in the attached figure
The answer to you question is 17% Of the people have not yet decided
Answer:
Sodas: 160
Hot Dogs: 80
Step-by-step explanation:
Sodas: s
Hot Dogs: d
s+d=240
s=2d
3d=240
d=80
s=160