Solve the following system of equations for x: 4x + y = 11 x + y = 2
Answers
4x+y=11 (1)
x+y=2 (2)
(1)-(2)==>3x=9 ==>x=3 and y=2-3=-1
Sol={(3,-1)}
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Answers
Answer:
1.92 yd x 3.83 yd x 2.58 yd
Step-by-step explanation:
We have given a rectangular base, that its twice as long as it is wide.
It must hold 19 yd³ of debris.
Lets minimize the surface area, subject to the restriction of volume (19 yd³)
The surface is given by:
The volume restriction is:
replacing h in the surface equation, we have:
Derivate the above equation and set it to zero
The height will be:
Therefore,The dimensions that minimize the surface are:
Wide: 1.92 yd
Long: 3.83 yd
Height: 2.58 yd
7x + y = 19
(-2,-5)
(-2,5)
(2,5)
(2,-5)
Answers
Answer:
(2,5)
Step-by-step explanation:
it's (2,5) just to let you now
Answers
- The coverage amount is $500,000
- The recommended term of life insurance is 10-year term.
Based on the information given i would recommend insurance coverage amount of $500,000 and a term of life policy of 10-year term.
James will need a coverage amount of $500,000 until the two children are financial independent and can cater for themselves.
Using a long term policy of 10 years term of life insurance is recommended as the older will be 25 years and the youngest will be 21 years by then.
Coverage insurance amount:
Insurance coverage=Salary× Term of life
Insurance coverage=$50,000×10 year
Insurance coverage=$500,000
Inconclusion:
- The coverage amount is $500,000
- The recommended term of life insurance is 10-year term.
Learn more here:
Step-by-step explanation:
If James wants to cover both of his children at his current salary until they both can support themselves on their own, he would need a 10-year term policy (if the youngest moves out when he/she is 21) with a face value of $500,000 (current salary-$50,000*10 years).
Answers
Pan 1:
Circle area = pi x r^2
7/2 = 3.5
3.5 x 3.5 = 12.25inch^2
12.25 x pi = 38.48451
38.48451 x 2 = 76.96902inch^3 (76.97inch^3 to 2dp)
Pan 2:
6 x 9 = 54inch^2
54 x 2 = 108inch^3
b)
Pan 1:
Surface area covered = 60.48inch^2 (2dp) because:
Circle area = pi x r^2
7/2 = 3.5
3.5 x 3.5 = 12.25inch^2
12.25 x pi = 38.48451inch^2
Circumference = pi x diameter
pi x 7 = 21.9911486
21.9911486inch^2
21.9911486 + 38.48451 = 60.4756586inch^2
Pan 2:
Surface area covered = 114inch^2 because:
Bottom:
6 x 9 = 54inch^2
2 longer sides:
2 x 9 = 18
18 x 2 = 36inch^2
2 shorter sides:
2 x 6 = 12
12 x 2 = 24inch^2
Total = 54 + 36 + 24 = 114inch^2
(Hope this helps.)
Answers
Then set the equations equal to each other and solve for X
Easy(:
Answers
1/2x-2=4 (expand the brackets)
1/2x=6 (added 2 to both sides)
x= 6/(1/2)
x= 6*2
x=12
1/2(x-4) = 4
Multiply each side of the equation by 2 : (x- 4) = 8
Add 4 to each side of the equation: x = 12