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Tanya [424]
2 years ago
5

in a certain class,10 of 24 students play sports. what is the ratio of students who play sports to those who do not?

Mathematics
2 answers:
nexus9112 [7]2 years ago
7 0

Answer:

Step-by-step explanation:

Student who don't play sports =  24 - 10 = 14

the ratio of students who play sports to those who do not = 10 : 14 = 5:7

inna [77]2 years ago
7 0

Step-by-step explanation:

10:24

5:12

is can be you answer

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Answer:

Step-by-step explanation:

Given that,

g(x, y) = 5 - (x - 3)² - (y + 2)²

Let find the grad of the function,

The grad of a function is defined as

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∇g = gx•i + gy•j + gz•k

gx = -2(x-3) = -2x+6

gy = -2(y+2) = -2y -4

∇g = (-2x+6) •i + (-2y-4)•j

We have a maximum or a minimum If g conservative, then, ∇g = 0i +0j

Then comparing this to the grad of the function

(-2x+6) •i + (-2y-4)•j = 0i +0j

Then, -2x+6 = 0

2x=6

x = 3

Also, -2y-4=0

-2y=4

y = -2

Then, g(x, y) = 5 - (x - 3)² - (y + 2)²

g(x, y) = 5 - (3 - 3)² - (-2 + 2)²

g(x, y) = 5

So the critical point is (3, -2, 5)

gx =-2x+6

Second derivative of gx with respect to x

gxx=-2

gy=-2y-4

Second derivative of gy with respect to y

gyy=-2

Second derivative of gx with respect to y

gxy =0

d =gxxgyy - (gxy)²

Then, gyy=gxx

d = -2×-2 -0²

d = 4-0=4

Since d>0

Since d is greater than 0, then, it is not a chair points.

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Cause the second derivative in x (or in y) is less than zero, then the point is relatively maximum

So the maximum point is (3, -2, 5).

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son4ous [18]
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ruslelena [56]

Answer:

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Step-by-step explanation:hope this help

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Answer:

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