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ElenaW [278]
3 years ago
9

Three roots of a polynomial equation with real coefficients are 3, 5 – 3i, and −3i. Which of the following numbers must also be

a root of the equation?
a. 5 + 3i only
b. −3 and 5 + 3i only
c. 5 + 3i and 3i only
d. −3, 5 + 3i, and 3i
Mathematics
1 answer:
Leviafan [203]3 years ago
4 0

Answer is D (−3, 5 + 3i, and 3i)

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Jerome is buying one pair of pants priced at $27.99. The sales tax is 7.5%.
Valentin [98]

Answer:

$30.09

Step-by-step explanation:

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2 years ago
Jasper is giving four non-collinear points. How many different triangles can he draw using these points?
kotegsom [21]

Answer:

4

Step-by-step explanation:

There are 4 ways to ignore one of the points. The other 3 can be connected to form a triangle.

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More formally, the number of ways that 4 items can be chosen 3 at a time is given by ...

... C(4, 3) = 4!/(3!(4-3)!) = 4/1 = 4

8 0
3 years ago
Entre Juan, Pedro, María y Luis tienen 62 cartas. Pedro tiene un tercio de las cartas de Juan. María tiene 3 cartas menos que Ju
fenix001 [56]

Answer:

Luis has 30 cards

Step-by-step explanation:

To solve this problem, we need to setup a system of equations.

If we call the amount of cards Juan has "J", Pedro "P", Maria "M" and Luis "L", we have that:

J + P + M + L = 62

P = J/3

M = J - 3

L = 2J

Substituting P, M and L in the first equation, we have:

J + J/3 + J - 3 + 2J = 62

13J/3 = 62 + 3

13J = 65 * 3

J = 15 cards

The amount of cards Luis has is:

L = 2J = 2 * 15 = 30 cards

8 0
3 years ago
If 126 base n is equal to 86 find the positive value of n​
RoseWind [281]

Answer:

0.68?

Step-by-step explanation:

I am not from English speaking country so I am not sure about the first sentence but the second

126n = 86 | /126

n = 86/126

n ≈ 0,68

8 0
3 years ago
This would be a big help so plzzz help me =/
nikdorinn [45]

The correct order would be:

5/64 x 3, 1/16 x 3, 3/32 x 4, 11/64 x 4, 7/16 x 3, 3/4 x 2, 3/8 x 4, 1 7/8 x 4, 2.25 x 2, 1.5 x 4, 3 3/8 x 3, 3.75 x 3

First we have to take all of the numbers and do the multiplication. It's often easiest to turn them in to decimals so that you have a common form.

3/32 x 4 = 3/8 = .375

3/4 x 2 = 3/2 = 1.5

1 7/8 x 4 = 15/4 = 3.75

2.25 x 2 = 4.5

1.5 x 4 = 6

3/8 x 4 = 3/2 = 1.5

5/64 x 3 = 5/32 = .156

3.75 x 3 = 11.25

1/16 x 3 = 3/16 = .1875

7/16 x 3 = 21/16 = 1.31

3 3/8 x 3 = 81/8 = 10.125

11/64 x 4 = 11/16 = .687

Now we can use those to put in order.

5/64 x 3 = 5/32 = .156

1/16 x 3 = 3/16 = .1875

3/32 x 4 = 3/8 = .375

11/64 x 4 = 11/16 = .687

7/16 x 3 = 21/16 = 1.31

3/4 x 2 = 3/2 = 1.5

3/8 x 4 = 3/2 = 1.5

1 7/8 x 4 = 15/4 = 3.75

2.25 x 2 = 4.5

1.5 x 4 = 6

3 3/8 x 3 = 81/8 = 10.125

3.75 x 3 = 11.25

Which if you are looking for without the extra terms, you can check the answer at the top.

3 0
3 years ago
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