The lines are
i) y=-x+6
ii) y=2x-3
The solution of the system of equations is found by equalizing the 2 equations:
-x+6=2x-3
-2x-x=-6-3
-3x=-9
x=-9/(-3)=3
substitute x=3 in either i) or ii):
i) y=-3+6=3
ii) y=2(3)-3=6-3=3
(the result is the same, so checking one is enough)
This means that the point (3, 3) is a point which is in both lines, so a solution to the system.
In graphs, this means that the lines intersect at (3, 3) ONLY
Answer: The graph where the lines intersect at (3, 3)
Answer:
Female: 11
Male: 16
Total:
(1) 34
(2) 25
(3) 100
Step-by-step explanation:
Female:
45 - 18 - 16 = 11
Male:
55 - 25 - 14 = 16
Total:
(1) 18 + 16
(2) 14 + 11 = 25
(3) 45 + 55 =
-15+2 means you add 2 to the negative number 15 so -15+2 will give us -13 which is the answer.
Answer:
24 times
Step-by-step explanation:
cone is used to fill cylinder
conevolume times x=cylindervolume
so
x=cylinderv/conev
cylinderv=hpir^2
conevolume=1/3hpir^2
cylinder:
v=hpir^2
r=10
h=20
v=20*pi*10^2=2000π
cone=1/3hπr²
r=5
h=10
v=1/3(10)π5²=250π/3
volume of cylinder ÷ volume of cone
= 2000π ÷ (250π÷3)
= 6000π ÷ 250π
= 600÷25
= 24
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Answer
0.00145
Step-by-step explanation:
(5 x 10^-4) + (9.5 x 10^-4)
0.0005 + 0.00095
= 0.00145