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3 years ago

Which ordered pair minimizes the objective function C = 60x + 85y?

Mathematics

1 answer:

Paha777 [63]3 years ago

5 0

Answer:

the that minimizes the function is (80, 50) for which C = 9050

Step-by-step explanation:

(0, 160). (55, 70). (80, 50). (170, 0)..... available pairs missing out in the question

Step 1: to get the pair that minimizes the objective function C = 60x + 85y, we plug in each pair and work out the minimum value of C.

(0, 160): C = (60*0) + (85*160) = 13600

(55, 70): C = (60*55 + (85*70) = 9250

(80, 50): C = (60*80) + (85*50) = 9050

(170, 0): C = (60*170) + (85*0) = 10200

Hence the minimum value of C occur at (80, 50)

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Answer:

$x=-\frac{3}{2}, x=1$

Step-by-step explanation:

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Subtract 2 from both sides and factor:

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Solve each factor individually:

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3 years ago

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viva [34]

Answer:

g(x) = h(x + 7) + 5

Step-by-step explanation:

Compare the corresponding points, the best is vertices

y = h(x) ⇒ (- 2, - 7)
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Find the difference of coordinates, the rule of translation right and up

x = 5 - (-2) = 7
y = - 2 - (- 7) = 5

The formula of g(x) in therms of h(x) is:

g(x) = h(x + 7) + 5

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2 years ago

What is the length of MN? 58 cm 75 cm 88 cm 116 cm

Brums [2.3K]

Answer:

The length of MN is 58 cm.

Step-by-step explanation:

In the given figure we can see that AM = MB

So, M is the mid point of AB.

Also, BN = NC ( Consider the given figure )

So, N is the mid point of BC.

Since M and N are the midpoints of AB and BC .

So, by mid segment theorem which sates that the segment joining the midpoints of any two sides of a triangle will be parallel to the third side of the triangle and half its length.

⇒ MN is parallel to AC

and

$MN = \frac{1}{2} AC$

$MN = \frac{1}{2} (116)$

$MN = 58 cm$

Thus , the length of MN is 58 cm.

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