<span>find the equations of the lines in slope-intercept form which is y=mx+b where m=slope b=y intercept
the choices:
0 solutions: means the lines don't intercect at all, meaning same slope but different y intercept or they ar paralell
1 solution: lines intercect in 1 point
2 solutions: curvy line with a straight line thorugh middle
infinetly solutions: same line
to find slope you do
slope=(y1-y2)/(x1-x2)
first line is
(-4,8)
(4,6)
(x,y)
x1=-4
y1=8
x2=4
y2=6
subsitute
(8-6)/(-4-4)=2/-8=-1/4
slope=-1/4
subsitute
y=-1/4x+b
subsitute one of the points
(4,6)
x=4
y=6
6=-1/4(4)+b
6=-1+b
add 1 to both sides
7=b
y=-1/4+7
now solve for the other equation
(-1,1)
(3,5)
x1=-1
y1=1
x2=3
y2=5
subsitute
(1-5)/(-1-3)=(-4)/(-4)=4/4=1
y=1x+b
subsitute
(-1,1)
x=-1
y=1
1=1(-1)+b
1=-1+b
add 1
2=b
y=x+2
we have the lines
y=-1/4x+7 and
y=x+2
solve for a common solution
y=x+2 and y=-1/4x+7 therefor
x+2=-1/4x+7
subtract 7 from both sides
x-5=-1/4x
mulitply both sides by -4
-4x+20=x
add 4x to both sides
20=5x
divide both sides by 5
4=x
subsitute
y=x+2
y=4+2
y=6
the soluiton is (4,6)
there is only one solution
the answer is B</span>
Answer:
Step-by-step explanation:
Work: 5,5,5,10,20
Add
5+5+5+10+20
10+5+10+20
15+10+20
25+20
45
÷ by the amount of numbers
45÷5=9
Ansser: mean=9
Answer:
<u>Based on the results the boutique could be located there.</u>
<u>Step-by-step explanation:</u>
Note: The average income (the mean) is calculated by summing the total incomes then divided by the total sample–9.
The mean ù (average income) = $28,000 + $24,000 + $26,000 + $25,000 + $23,000 + $27,000 + $26,000 + $22,000 + $24,000= $225,000/9= $25,000 (which is ≥ $25,000.
Based on the results of the p-value, using the 5% significant level <em>we fail to reject the null hypothesis</em> (ú≥25,000).
