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aleksandrvk [35]
2 years ago
6

I need help with question 12, please :C

Mathematics
1 answer:
Gnoma [55]2 years ago
8 0

Answer:

The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x| + k is solid. Use the slider to change the value of k. How does changing the value of k affect the graph? Positive values of k shift the graph . Negative values of k shift the graph .

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The formula for the cost of buying a car is: Cost= 12 x monthly payment + deposit Find the cost of a car when the monthly paymen
miv72 [106K]
6,200
Take 12 and multiply it by 350 to get 4,200 then add 2,000 to get 6,200
4 0
3 years ago
I need help please... 30 points + brainliest if u answer all 5
snow_lady [41]
3
-90
1
30
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If you need to show your work look at the picture
7 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
Questions 13 and 17 if anybody knows ?
jenyasd209 [6]
13) If T(n) = 2n-7, what is the 5th term?
n is the number of the term you are looking for. In this instance, n is equal to 5.

T(5) = 2(5) - 7
T(5) = 10 -7
T(5) = 3

The 5th term is 3.

17) inequality based on the line number.
Since the line does not extend in any direction outward. It means that the range should be within -3 and 3. 
Solid circle means that -3 is equivalent to x
hollow ciccle means that 3 is not x.

-3 <u><</u> x < 3

x = any number from -3 upto 2.
8 0
3 years ago
How many digits will be to the right of the decimal point in the product?<br><br> 1.456 × 84
Monica [59]
Decimal pt after 3 digits in first number so 3 digits in product. 
6 0
3 years ago
Read 2 more answers
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