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3 years ago

Solve the equation for x. 1/4 (2x + 8) = −16

1 answer:

3 0

1/4 (2x+8)= -16

•Multiply both sides of the equation by 4

2x + 8= -64

•Move constant time the right side and change it’s sign

2x = -64 -8

•Calculate the difference

2x = -72

•Divide both dudes by 2

X= -36

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Question 10 What best describes Theoretical Probability? A.) Flipping a coin once to see if it's a heads or tails. B.) Using mat

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Answer:

Step-by-step explanation:

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3 years ago

I need help with finding the sum of (x^4 + 2x^3 - 7x - 9) + (x^5 - 2x^4 + 8x + 18) in standerd form

Lilit [14]

Answer:

Step-by-step explanation:

(x^4 + 2x^3 - 7x - 9) +

(x^5 - 2x^4 + 8x + 18)

x^5 - x^4 + 2x^3 + x + 9

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3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y , 8 z>

Δf = λ Δh

< 8 ,8 , 4> = < 8 λ x ,8 λ y , 8 λ z>

8 = 8 λ x -------------1

8 = 8 λ y ---- ------2

4 = 8 λ z ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

$4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36$

$\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36$

So the value of λ is

$\lambda =\pm \dfrac{1}{2}$

When λ = 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= 2 , y = 2 , z=1

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0

3 years ago

Read 2 more answers

Find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4

Ierofanga [76]

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

a = 1
b = 2
Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

6 0

3 years ago

Read 2 more answers

Missing fraction<br> blank + 1/16 = 3/2

skad [1K]

Answer: 1/2

Step-by-step explanation:

Let the missing fraction be x

x + 1/16 = 3/2

Make x the subject by subtracting both sides by 1/16

x = 3/2 - 1/16

x= 24 - 16/16

= 8/16; divide through by a common value of 8

x = 1/2

I hope this helps.

4 0

3 years ago