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Sergeeva-Olga [200]
4 years ago
13

X=-1/3y+4/3 X=2Y+6 Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
jonny [76]4 years ago
7 0
Both equal so set equal to each other
-1/3y+4/3=2y+6
times both sides by 3
-y+4=6y+18
add y to both sides and minus 18 both sides
-14=7y
divide both sides by 7
-2=y

sub back
x=2y+6
x=2(-2)+6
x=-4+6
x=2

(2,-2)
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Answer:

The answer is

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Step-by-step explanation:

Let's find the extreme points of M(x) for 30≤x≤60. M(x) simplified by dividing to 7.8.

M(x) = -1,92.10^-3x^2+0,155x-1

To find extreme points we find tangent of M(x) and equal it to 0.

M'(x) = -3,84.10^-3x+0,155=0

therefore x=\frac{-0,155}{-3,84.10^-^3} = 40,36

This divides our x to 2 different range 30≤x≤40,36 and 40,36≤x≤60

Now we pick a number and investigate from the ranges

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40,36≤x≤60   →    x = 45   →    <u>M'(45) = -0,0178</u><u> which is </u><u>< 0 </u><u>and that means M is decreasing</u>

Next let's look at critical points

   x                  M(x)          Before              After             Decision

  30                1,922              -                       ↑             Local Minimum Point

  40,36           2,128             ↑                       ↓             Local Maximum Point

  60                1,388             ↓                       -              Local Minimum Point

As we can see (30, 1,922) and (60, 1,388) are<u> local minimum points</u> and (40,36 , 2,128) is the <u>local maximum point</u>.

Since (60 , 1,388) is the <u>lowest local minimum point</u> it is the absolute minimum point and (40,36 , 2,128) is the absolute maximum point.

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