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vovangra [49]
3 years ago
12

Can someone please explain how to factor 8x + 20?

Mathematics
1 answer:
anastassius [24]3 years ago
6 0
Find a common multiplier between both which would be 4. then divide each term by 4. all you have left stays in the parenthesees.

4 (2x+5)
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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
There are approximately 2.6 million deaths per year in country A. Express this quantity as deaths per minute.
igor_vitrenko [27]
Take 2.7 million<span> divided </span>by<span> the number of </span>minutes<span> in a </span>year<span>. 1 hour= 60 </span>minutes<span> 1 day= 24 hours So you take 24 hours × 60 minutes =1440 </span>minutes<span> 1 </span>year<span>= 365 per minute.</span>
7 0
3 years ago
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Esther starts at one corner of a square field and walks 90 feet along one side to another corner of the field. She turns 90° and
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The three sides make a right triangle and you know the base (90) and the height (70)

A = 1/2 bh  or 1/2 x (70)x (90)=   3150 ft²
3 0
3 years ago
12 time 10 times 10 times 10
slavikrds [6]

Answer:i used a calculator 12000

Step-by-step explanation:12 × 10 × 10 × 10 = 12000

and have a nice Day :)

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Answer:

Are you Algebra 1 or 2?

Step-by-step explanation:

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