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iragen [17]
2 years ago
13

Y is directly proportional to 1 over the square root of x if y = 7 when x = 36 find y when x = 4

Mathematics
1 answer:
Alecsey [184]2 years ago
5 0

Step-by-step explanation:

y |X(the sign for protionality) 1/√x

y = 7 when x = 36

y = k/√x

7 = k/√36

7 = k / 6 cross multiply

k = 7×6

k = 42

find y when x is 4

y = 42/√x

y = 42/√4

y = 42/2

y = 21

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Line A is represented by the equation given below:
MrMuchimi
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2(x+y=4)

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makkiz [27]

Answer:

Step-by-step explanation:

x + 2y + 3z = 12

z=\frac{12-x-2y}{3}

Volume = V=f(x,y) = xy(\frac{12-x-2y}{3} )

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f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)

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Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

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thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

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2 years ago
The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.
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The small number is 2.

The large number is 3.

<u>Step-by-step explanation:</u>

Let the two consecutive numbers be x and x+1.

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The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

  • The sum of two consecutive integers is one less than three times the smaller integer.
  • This means that, (2x+1) is one less than three times the smaller integer.
  • Here, the small integer is represented as x.

<u>Therefore, it can determined that :</u>

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

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