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Rufina [12.5K]
4 years ago
5

What is (3k+2)(k-3)?

Mathematics
1 answer:
Bond [772]4 years ago
5 0
I think that you have to foil that.

Therefore:

3k(k-3) 2(k-3)
3k^2-9k+2k-6
3k^2-7k-6 (Combine like terms and that is your final answer)
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Convert 29.5 kilograms to grams.<br><br> Enter your answer in the box.
AleksAgata [21]

Answer:

29,500 g

Step-by-step explanation:

1 kg = 1000 g.

7 0
3 years ago
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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.
____ [38]

Let z=-\sqrt3+i. Then

|z|=\sqrt{(-\sqrt3)^2+1^2}=2

z lies in the second quadrant, so

\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6

So we have

z=2e^{i5\pi/6}

and the fourth roots of z are

2^{1/4}e^{i(5\pi/6+k\pi)/4}

where k\in\{0,1,2,3\}. In particular, they are

2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}

2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}

2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}

2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}

7 0
3 years ago
The table shows sets of ordered pairs that form a relation.
s2008m [1.1K]

Answer:

First 3 are functions . Last one is not a function

Step-by-step explanation:

They are all functions except the last one.

The last one is not a function because  it has duplicate  x- values  in the ordered pairs (1, -1) and (1, -6). There are 2 outputs for one input so its a relation but not a function

6 0
3 years ago
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Mia has a rectangle shape brownie. She cuts the brownie into 3 equal pieces.Which sentence is true ?
MAXImum [283]

Answer:

The whole brownie is 3/3

Step-by-step explanation:

Hello!

This is a classic fractions exercise.

The whole brownie was cut in three equal pieces. Each piece represents 1/3 of the brownie.

If you add the three pieces together 1/3+1/3+1/3 you get the whole brownie again 3/3 = 1

-Options-

The whole brownie is 1/3.

<em>The whole brownie is 3/3. </em>

The whole brownie is 2/3.

The whole brownie is 3/2.

I hope this helps!

4 0
3 years ago
11) Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening. How much more of an hour did Wayne spen
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He spent 3/6 hours more or 30 minutes more
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3 years ago
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