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erica [24]
3 years ago
12

Simplify the complex fraction. show work. ((x+3)/(4x^2))/((2x-4)/(2x^2+10x+12))

Mathematics
1 answer:
Masteriza [31]3 years ago
7 0
Photomath is useful for these kinds of problems
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Find 3 consecutive integers such that the sum of the first and twice the second is 16 more than twice the third
lions [1.4K]

Answer: 18, 19, 20

Step-by-step explanation:

3 consecutive integers = x, y and z

1st number is X

2nd number is Y which is X +1

3rd number is Z which is X +2

Write equation

X + 2Y = 16 + 2Z

Replace Y with X + 1 and Z with X + 2

So,

X + 2(X + 1) = 16 + 2(X + 2)

Distribute

X + 2X + 2 = 16 + 2X + 4

Combine like terms

3X + 2 = 2X + 20

Solve for X

3X + 2 - 2 - 2X = 20 + 2X - 2X - 2

X = 18 so, Y is 19 and Z is 20

5 0
3 years ago
What is the value of x in the equation<br> (x + 12) = 165x + 14) – 3?
anygoal [31]
Answer:

X=1/164


Step by step
7 0
3 years ago
Complete the point slope equation of the line through (-5,4) and (1,6)
jarptica [38.1K]

Answer:

1/3

Step-by-step explanation:

(-5,4)=(x1,y1)

(1,6)=(x2,y2)

Slope(m)=y2-y1

_____

x2-x1

=6-4

____

1+5

=2÷6

=1/3

6 0
3 years ago
Find the 8th term of the geometric sequence 3, 9, 27, ...
miv72 [106K]

Answer:

8th term- 6,561

Step-by-step explanation:

Each term in the sequence is being multiplied by 3. For example, 3x3=9 and 9x3=27. Now, we need to continue multiplying numbers, so we can list them all here, still starting with 3.

1&2) 3x3=9

3) 9x3=27

4) 27x3=81

5) 81x3=243

6) 243x3=729

7) 729x3=2,187

8) 2,187x3=6,561

The 8th term of the geometric sequence is 6,561.

Hope this helps and have a great day! ^^

3 0
3 years ago
A set of four cards consists of two red cards and two black cards. The cards are shuffled thoroughly, and I am dealt two cards.
Delvig [45]
25% because if you have 4 cards which would equal 100% and you are dealt 2 you have a 25% chance of getting any of the 4. (25x4=100)
But, if you are talking about probability of color it would be 50% because if you have 2 red cards and the total deck is 4 cards, then that is already half of the deck. And if you have 2 black cards then that makes up the other half. but if you are talking individually like Red 1 and Red 2 and Black 1 and Black 2 separating them would create a 25% probability. So, x= 25% (infivudually) or 50% (by color)
4 0
3 years ago
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