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levacccp [35]
3 years ago
12

Apply the square root principle to solve (x – 2)2 + 20 = 0.

Mathematics
1 answer:
Temka [501]3 years ago
7 0

(x-2)^2+20=0

(x-2)^2=-20

If you root both sides you will yield complex numbers (i, imaginary unit is such that i^2=-1),

x-2=20i

x=2+20i

and whenever x is a solution a complex conjugate x* is also a solution,

x*=2-20i

So the answer is A.

Hope this helps :)

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The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

The profit that a vendor makes per day is given by

P(x)= - 0.004x² +3.2 x -200

where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

P'(x)= - 0.008x+3.2

Again differentiating with respect to x

P''(x) = -0.008

For maximum or minimum P'(x)=0

- 0.008x+3.2=0

⇒0.008x=3.2

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

          =440

The number of elephant ears that must be sold to maximize profit is 400.

3 0
3 years ago
John needs to cut three strips of wood, 25.5 cm, 15.3 cm, and 9.25 cm long. He has a strip that is 72 cm long. How long will the
NeX [460]

Add the three strips of cut wood together:

25.5 + 15.3 = 40.8

40.8 + 9.25 = 49 + 1.05 = 50.05

John will need to cut a total of 50.05cm of wood.

Subtract this total from the strip John has:

72 - 50.05 = 22 - .05 = \boxed{21.95}

The leftover piece will be 21.95cm long.

4 0
3 years ago
Read 2 more answers
Trei copii au impreuna 45 de lei .
Ainat [17]

Answer:

Primul copil are 6 lei, al doilea are 12 lei, al treilea are 27 de lei.

Step-by-step explanation:

Lăsați suma primului copil să fie x.

Lăsați suma al doilea copil să fie y.

Lăsați suma al treilea copil să fie z.

Trei dintre ei au 45 de lei în total.

Aceasta înseamnă că:

x + y + z = 45 ________(1)

Al doilea are de două ori valoarea primului:

y = 2x

Al treilea are cu 15 lei mai mult decât al doilea:

z = 15 + y

=> z = 15 + 2x

Puneți valoarea y și z în (1):

x + 2x + 15 + 2x = 45

5x = 45 - 15 = 30

x = 30 / 5 = 6 lei

=> y = 2 * 6 = 12 lei

=> z = 15 + 12 = 27 lei

Primul copil are 6 lei, al doilea are 12 lei, al treilea are 27 de lei.

7 0
3 years ago
How to write 1.06 in expanded form
zloy xaker [14]

Answer:

1+(6*.01)

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
The sum of 4 times a number and 3 is 9
nalin [4]

Answer:

x = 6/4 or 1 1/2

Step-by-step explanation:

4x+3=9

Subtract the 3 from both sides

4x+3=9

    -3 -3

4x = 6

Divide both sides by 4

x = 6/4 or 1 1/2

3 0
3 years ago
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