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3 years ago

Rewite 7+√-121 in complex number notation

Mathematics

1 answer:

Alina [70]3 years ago

7 0

11i+7

√-121= 11i (imaginary number)

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In any difference 6th grade class the ratio of boys and two girls is 3:2 how many boys and how many girls could there be in one

Artemon [7]

Yes there can be more than one answer because it can go on forever
3 to 2
6 to 4
9 to 6
12 to 8
it can go on forever

4 0

3 years ago

Determine the equation of the following polyromial that passes through point (0,6).

Ostrovityanka [42]

Answer:

Cubic polynomial has zeros at x=−1x=−1 and 22, is tangent to x−x−axis at x=−1x=−1, and passes through the point (0,−6)(0,−6).

So cubic polynomial has double zero at x=−1x=−1, and single zero at x=2x=2

f(x)=a(x+1)2(x−2)f(x)=a(x+1)2(x−2)

f(0)=−6f(0)=−6

a(1)(−2)=−6a(1)(−2)=−6

a=3a=3

f(x)=3(x+1)2(x−2)f(x)=3(x+1)2(x−2)

f(x)=3x3−9x−6

3 0

2 years ago

The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.

podryga [215]

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

2y + 2 = x + y

y = x -2 ——( 2 )

From ( 1 ) and ( 2 ) ,

5x/6 = x -2

( 5x /6 ) - x = -2

( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10

7 0

3 years ago

Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card an

poizon [28]

Answer:

We have that $B = 0.3$ .

$0.3 = b + (A \cap B)$

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.

Step-by-step explanation:

Event A:

Probability that a student has a Visa card.

Event B:

Probability that the student has a MasterCard.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student has a Visa card but not a MasterCard and $A \cap B$ is the probability that a student has both these cards.

By the same logic, we have that:

$B = b + (A \cap B)$

In this problem, we have that:

$A = 0.6, B = 0.3$

(a) Could it be the case that P(A ∩ B) = 0.5?

We have that $B = 0.3$ .

$0.3 = b + (A \cap B)$

However, b is a probability, which means that it cannot be negative. So no, P(A ∩ B) cannot be 0.5. It can, at most, be 0.3.

8 0

3 years ago

X+2y=4<br> 2x-2y=5 <br> what is the answer

Tom [10]

x + 2y = 4

2x - 2y = 5

Adding both the equations:

x + 2y + 2x - 2y = 9

3x = 9

x = 3

y = 4-x /2 = 1/2

4 0

3 years ago