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tankabanditka [31]
2 years ago
12

Gib Answer:

Mathematics
1 answer:
Marina86 [1]2 years ago
4 0

Answer:

the probability is 1/4

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Write the linear equation in slope-intercept form given the following:
lina2011 [118]

Answer:

y=-2/3x+4

Step-by-step explanation:

i found the slope using rise and run equation, its -2/3

i just saw that the y-intercept is -4, and yeah.

btw im assuming that the value of one unit is 1.

have a great day

brainliest?

6 0
3 years ago
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x, y) = 2x2y,
hjlf

Answer:

f(-2,-1) = -8 is the minimum value of f(x,y)

f(2,1) = 8 is the maximum value of f(x,y)

Step-by-step explanation:

f(x,y) = 2x²y under the constraint 2x² + 4y² = 12

Let g(x,y) = 2x² + 4y² - 12

df/dx = 4xy, df/dy = 2x², dg/dx = 4x and dg/dy = 8y

Now, using the principle of Lagrange multipliers,

df/dx + λdg/dx = 0 and df/dy + λdg/dy = 0.

Substituting the values of the variables, we have

df/dx + λdg/dx = 0    and df/dy + λdg/dy = 0.

4xy + 4xλ = 0      (1)           2x² + 8λy = 0  (2)

xy + xλ = 0

x(y + λ) = 0

x = 0 or y + λ = 0

Since x ≠ 0, y = -λ

Substituting y = -λ into (2), we have

2x² + 8λy = 0

2x² + 8λ(-λ) = 0

2x² - 8λ² = 0

2x² = 8λ²

x² = 4λ²

x = ±2λ  

Substituting the values of x and y into the constraint equation, we have

2x² + 4y² = 12

2(±2λ)² + 4(-λ)² = 12

2(4)λ² + 4λ² = 12

8λ² + 4λ² = 12

12λ² = 12

λ² = 1

λ = ±1

Substituting the value of  λ into x and y, we have

x = ±2λ = ±2(±1) = ±2

y = -λ = -(±1) = ±1

The minimum values of x and y are -2 and -1 respectively. Substituting these int f(x,y), we have

f(-2,-1) = 2(-2)²(-1) = 2 × 4 × (-1) = -8

So f(-2,-1) = -8 is the minimum value of f(x,y)

The maximum values of x and y are 2 and 1 respectively. Substituting these int f(x,y), we have

f(2,1) = 2(2)²(1) = 2 × 4 × 1 = 8

So f(2,1) = 8 is the maximum value of f(x,y)

7 0
3 years ago
Joey went to the Walmart and brought 5 skateboards. He spent a total of 115$. How much does each skateboard cost
viva [34]

Answer:23

Step-by-step explanation:5×23=115

5 0
3 years ago
Read 2 more answers
Use the pH standards below to answer the following questions:
Kazeer [188]
A is poor
B is good
C is marginal
8 0
3 years ago
At the movie theatre, child admission is $5.20 and adult admission is $9.70. On Sunday three time as many adult tickets as child
JulsSmile [24]

Answer:

23 child tickets were sold

Step-by-step explanation:

Using the information given, we can set up an equation to solve for the number of child tickets sold.  Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets.  Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:

5.20x + 9.70(3x) = 788.90

Simplify 5.20x + 29.1x = 788.90

Combine like terms:  34.3x = 788.90

Divide both sides by 34.3:  x = 23 child tickets

3 0
3 years ago
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