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Vesna [10]
2 years ago
14

The formula below represents the standard form of a quadratic equation,

Mathematics
1 answer:
harina [27]2 years ago
4 0

Answer:

b=-a^2-c

Step-by-step explanation:

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Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×&lt
brilliants [131]

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

f'(x) = \dfrac{(-x + 2)^4}{dx}  = -4 \cdot (-x + 2)^3 = 0

∴ (-x + 2)³ = 0

x = 2

f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx}  = -12 \cdot (-x + 2)^2

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

5 0
3 years ago
The equation of this circle is:
qaws [65]

Step-by-step explanation:

Equation : (x - 4)² + (y + 3)² = 4.

4 0
2 years ago
Elena and Diego each wrote equations to represent these diagrams. For
Tpy6a [65]

Elena is correct

Step-by-step explanation:

This is because a straight angle is always equal to 180 therefore in order to find the value of *w* you would have to add up to angles that are given and subtract them from 180, or in this case add up all the angles including *w* to get 180.

6 0
2 years ago
What is in simplest form?<br><br> A. <br> B. <br> C. <br> D.
alukav5142 [94]

Answer:

C. 8√3

Step-by-step explanation:

* = multiply or times

To find √192 in its simplest form we need to divide it by a square number like 64.

192/64 = 3

√192 = √64 * √3 = 8√3

7 0
2 years ago
Read 2 more answers
Worth 2 marks and I need it urgently pls
melisa1 [442]
4c6d3 x 3c4d

4 x 3=12
12c
you add the powers so 6+4=10
12c10
d3 x d=d3
12c10d3


that is the answer i think

4 0
3 years ago
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