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Vsevolod [243]
3 years ago
12

Please Help Can someone explain where the 4i to the square root of 3 came from?

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

note that \sqrt{-1} = i

\sqrt{64-112}

= \sqrt{-48}

= \sqrt{16(3)(-1)}

= \sqrt{16} × \sqrt{3} × \sqrt{-1}

= 4 × \sqrt{3} × i

= 4i\sqrt{3}

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Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor
Ilya [14]

Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

M=0.4x

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

M=0.5x

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

5 0
3 years ago
What % of 40 is 15? Please put how u do it
andriy [413]

Answer:

37.5

Step-by-step explanation:

so x% of 40 is 15

the equation for that is

x/100 * 40 = 15

40x/100 = 15

multiply 100 on both sides

40x = 1500

divide 40 on both sides

37.5

37.5% of 40 is 15

6 0
3 years ago
Read 2 more answers
Find m2ABC.<br> C/ 98°<br> 5x + 2<br> 6x + 8<br> A<br> B
Feliz [49]

Answer:

2

Step-by-step explanation:

7 0
2 years ago
Identity the zero of the function y= x (x-4)(x+2)
yulyashka [42]

Answer:

- 2, 0 or 4


Step-by-step explanation:

y = x(x - 4)(x + 2)

x' = 0


x - 4 = 0

x" = 4


x + 2 = 0

x"' = - 2


I hope I helped you.

4 0
3 years ago
the bowling alley charges a flat rate of $50 for a birthday party plus $4.25 per person. If Emanuel only has $125 to spend. How
Maksim231197 [3]

125 > 50 + 4.25*p

subtract 50 from each side

75 =>4.25p

divide by 4.25

p>17.64

He may invite up to 17 people ( if he doesn't have to pay for himself)

He may invite 16 if he has to pay for himself

3 0
3 years ago
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