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:
Step-by-step explanation:
<u>Evaluating Functions</u>
Given a function y=f(x), evaluate the function for x=a means substituting the variable for the given value.
We have the function:
Find f(-1):
Answer:
31.73 grams
Step-by-step explanation:
70.83 g - 39.1 g = 31.73 g
The choice D is in scientific notation
7.8*10^5
You are given
a distance of 20 kilometers and time of 30 minutes. You are required to find
for the speed of the travelling object. The equation for speed is distance over
time. Speed is a scalar quantity. It tells you the direction of the travelling object.
The solution in this problem is,
Speed =
distance/time
Speed = 20
kilometers / 30 minutes
<u>Speed =
2/3 kilometers per minute or 0.667 kilometers per minute</u>
<span>Therefore,
the speed of the object is 0.667 km per minute.</span>
