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Firdavs [7]
3 years ago
9

Simplify (x+4)^2 how is this simplified

Mathematics
2 answers:
Juliette [100K]3 years ago
5 0

Is known that

(a + b)² = a² + 2.a.b + b²

So:

(x + 4)² = x² + 2.x.4 + 4² = x² + 8x + 16

Nostrana [21]3 years ago
4 0
Answer: x^2 +8x +16
Explanation:
each term in the second bracket must be multiplied by each term in the first bracket
⇒(x +4)^2=(x+4)(x+4)⇒(x+4(x+4)
=x(x+4)+4(x+4)
=(x×x)+(x×4)+ (4×x)+(4×4)
=x2+4x+4x+16
=x^2+8x+16


That's all
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Identify the vertical shift, maximum and minimum values of each function
Delicious77 [7]

ANSWER

Vertical shift: 6 units up

Maximum value: 9

Minimum value: 3

EXPLANATION

The given since function is

y = 3(2 -  \sin(x))

Expand and rewrite to obtain,

y = 6 - 3 \sin(x)

Or

y =- 3 \sin(x) + 6

The vertical shift is 6 units up.

The maximum value is 6+3=9.

The minimum value is -3+6=3

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3 years ago
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djyliett [7]

Answer:

Look at attachment

4 0
3 years ago
Read 2 more answers
Solve #2 with an explanation please
KatRina [158]
The fence is 210 ft long.
There is a post every 3.5 ft.
If you divide 210 ft by 3.5 ft, you get the number of spaces between posts.
(210 ft)/(3.5 ft) = 60
The fence starts with a post. Then there is 3.5 ft of fencing. Then there is another post. Then there is another 3.5 ft of fencing followed by a post. In total there are 61 posts.

Here's another way of thinking of why you end up with 60 posts.
For each 3.5 ft of fencing, you place a post at the end of the fencing.
Since there are 60 3.5-ft-long pieces of fencing, there will be 60 posts, one at the end of each piece of fencing. The first thing that is done is to put the initial post before any fencing is put up. The first post plus 60 more posts add up to 61 posts.

Now that you see why there are 61 posts, we can calculate their cost.
61 * $8.50 = $518.50
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3 years ago
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The explanation is in the picture below if needed

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