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aev [14]
3 years ago
5

Which of the given expressions results in 0 when evaluated at x = 5? A. 5x(x − 7) B. (x + 7)(x − 2) C. (x + 5)(x − 8) D. (x − 8)

(x − 5)
Mathematics
2 answers:
vovangra [49]3 years ago
5 0
I choose D. (x-8)(x-5)
professor190 [17]3 years ago
4 0

Answer:

Option D

Step-by-step explanation:

The expressions are given in factor form.

Whenever any one factor is 0, expression is 0

Since x=5 we have x-5 =0

So wherever x-5 is a factor, the expressions has to be 0

Out of 4 expressions given we have

Option D is only having x-5 as factor

Hence option D expression

(x − 8)(x − 5)=0

when x=5

Other expressions cannot be exactly 0 since x-5 is not a factor for any other of them

So only option D is right.

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What is the maximum value of the objective function, P, with the given constraints?
maksim [4K]

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Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

P=20x+35y

Constraints,

x+y \leq 12

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To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

P=20x+35y

  • Point (0,0)

P=20(0)+35(0)=0

P=20x+35y

  • Point (0,12)

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  • Point (2,10)

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  • Point (4,0)

P=20(4)+35(0)=80

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

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