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andrezito [222]
2 years ago
15

What is the quotient of 1/6 divided by 2?

Mathematics
1 answer:
Yakvenalex [24]2 years ago
3 0

Answer:

1/12 or 0.083

Step-by-step explanation:

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Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at
Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x  - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

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2 years ago
Given: Point K is between H and J, HK = x - 5, KJ = 5x-12, and HJ = 25. Find the value of x
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Hi, This is my answer. Check it out!!!!

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3 years ago
Which does NOT have a value of 4 when
12345 [234]

Answer:

3 beause when you dividend it -5.6+4(3) .

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Instructions: state what additional information is required in order to know that the triangle in the image below are congruent
Dafna1 [17]

Answer:

QP ≈ HG

Common side between those angles are QP and HG

so, they should be congruent to prove AAS

Answered by GAUTHMATH

8 0
2 years ago
Find the value of x.
Vikentia [17]
The interior angles of a quadrilateral shape add up to 360 so 116+93+45+x = 360 with x equaling 106
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