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ra1l [238]
2 years ago
13

Find the next term in the sequence:

Mathematics
1 answer:
Anettt [7]2 years ago
6 0

Answer:

A. 243/469

Step-by-step explanation:

Looking at the terms here, it seems that the this powers of 3 divided by 469.

3 is 3¹. 9 is 3². 27 is 3³. 81 is 3⁴.

Knowing that, then 3⁵/469 is the next term. 3⁵ is 243, so the next term is 243/469, which is A.

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Which of the following equations have complex roots?
mestny [16]

Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0

Evaluate the discriminant of each of the given equations.

\textsf{A.} \quad 3x^2+2=0

\implies a=3, \quad b=0, \quad c=2

\implies b^2-4ac=0^2-4(3)(2)=-24

As -24 < 0 the equation will have complex roots.

\textsf{B.} \quad 2x^2+1=7x

\implies 2x^2-7x+1=0

\implies a=2, \quad b=-7, \quad c=1

\implies b^2-4ac= (-7)^2-4(2)(1)=41

As 41 > 0 the equation does not have complex roots.

\textsf{C.} \quad 3x^2-1=6x

\implies 3x^2-6x-1=0

\implies a=3, \quad b=-6, \quad c=-1

\implies b^2-4ac=(-6)^2-4(3)(-1)=48

As 48 > 0 the equation does not have complex roots.

\textsf{D.} \quad 2x^2-1=5x

\implies 2x^2-5x-1=0

\implies a=2, \quad b=-5, \quad c=-1

\implies b^2-4ac=(-5)^2-4(2)(-1)=33

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0
2 years ago
What are the coordinates of point A?<br><br>(8,-6)<br>(-6,8)<br>(-5,7)<br>(7,-5)​
mihalych1998 [28]

Answer:

Not the smartest person, but the graph shows that they're pointing down!

Step-by-step explanation:

7 0
3 years ago
What is the product of 0.6 and 7
Lunna [17]
Product means multiplication.

0.6 * 7 = 4.2
8 0
3 years ago
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Your family went out to eat and the total bill was 68.50. If you leave a 15% tip, what is the total cost of the bill
KatRina [158]

Answer:

$ 78.78

Step-by-step explanation:

Calculate 15% of 68.50. then add it to the total bill.

6 0
3 years ago
Read 2 more answers
ASAP<br><br> What is the distance between (6, 2) and (-3, -2)?<br> 9<br> 3<br> 5
butalik [34]
The distance between the points (6,2) and (-3,-2) is A) 9 units.
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