The region is in the first quadrant, and the axis are continuous lines, then x>=0 and y>=0
The region from x=0 to x=1 is below a dashed line that goes through the points:
P1=(0,2)=(x1,y1)→x1=0, y1=2
P2=(1,3)=(x2,y2)→x2=1, y2=3
We can find the equation of this line using the point-slope equation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-2)/(1-0)
m=1/1
m=1
y-2=1(x-0)
y-2=1(x)
y-2=x
y-2+2=x+2
y=x+2
The region is below this line, and the line is dashed, then the region from x=0 to x=1 is:
y<x+2 (Options A or B)
The region from x=2 to x=4 is below the line that goes through the points:
P2=(1,3)=(x2,y2)→x2=1, y2=3
P3=(4,0)=(x3,y3)→x3=4, y3=0
We can find the equation of this line using the point-slope equation:
y-y3=m(x-x3)
m=(y3-y2)/(x3-x2)
m=(0-3)/(4-1)
m=(-3)/3
m=-1
y-0=-1(x-4)
y=-x+4
The region is below this line, and the line is continuos, then the region from x=1 to x=4 is:
y<=-x+2 (Option B)
Answer: The system of inequalities would produce the region indicated on the graph is Option B
Answer:
A). {HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}
(B). {HHH, HHT, THH, THT}
Step-by-step explanation:
Given:
A coin is to be tossed three times and each tossed will be recorded as Head(H) and Tails(T).
To Find:
(a). Sample Space
(b). Event that the second toss is Heads
Explanation:
(A). Sample Space: When a coin is tossed 3 times
{HHH, HHT, HTH, THH, TTH,THT,HTT,TTT}
(B). Event that second toss is Head
{HHH, HHT, THH, THT}
Answer:
16
Step-by-step explanation:
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5/2 inches per month * t = 15/4 inches
<span>t = ( 15/4 ) / ( 5/2) </span>
<span>t = 1.5 months</span>
Divide 14 by 25. Then you should get a decimal number. take the decimal number and multiply by 100 and done!
