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Nezavi [6.7K]
3 years ago
6

Which vertex will result in the minimum value of the function T = x - 2y?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
6 0

Answer:

the objective function, P, at each vertex ... Example: Find the maximum and minimum values of P=3x+2y subject to x + 4y ≤ 20 ... We can find the intersection of the two lines.

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a 2014 mustang originally costs $25000.00 and depreciates at a rate of 8% per year. What is the cost of the car after 7 years?
frutty [35]
$11,000 will bet the cost in 7 years

Given:

Original cost: $25,000

Depreciation rate: 8%

Term: 7 years

Formula for Depreciation:

A = C ( 1 - ( r ) (t) )

A = Future Value

C = Original Cost

r = rate

t = term

Solution:

Substitute the given values to the formula for depreciation.

A = $25,000( 1 - ( 0.08)(7))

A = $25,000( 1 - .56 )

A = $25,000(0.44 )

A = $11,000


8 0
2 years ago
four apples and one banana cost £1.40 seven apples and one banana cost £2.00 work out the cost of an apple and the cost of a ban
beks73 [17]

Answer:

  • apple: £0.20
  • banana: £0.60

Step-by-step explanation:

Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...

  4a +b = 1.40

  7a +b = 2.00

Subtracting the first equation from the second gives ...

  (7a +b) -(4a +b) = (2.00) -(1.40)

  3a = 0.60 . . . . simplify

  a = 0.20 . . . . . .divide by 3

Using this in the first equation, we have ...

  4(0.20) +b = 1.40

  b = 0.60 . . . . . subtract 0.80

The cost of an apple is £0.20; the cost of a banana is £0.60.

8 0
3 years ago
Hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. What is the smallest number of each that could
n200080 [17]
The lowest common denominator for 8 and 12 is 24. So you would need 3 packages of hotdogs and 2 packages of buns.
7 0
3 years ago
Which set of equations would have infinitely many solutions? JUSTIFY your answer in #4.
Ierofanga [76]

Answer:

2nd option: 2y=6x+8 and y=3x+4

Step-by-step explanation:

If you divide the first by 2, you get the second equation.

This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.

In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.

Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation

7 0
2 years ago
Write the next three terms in each sequence. Make sure your
vazorg [7]
Um, wouldn’t it just be 9.5, 10.6, 11.7?
8 0
3 years ago
Read 2 more answers
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