Answer:
x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
Step-by-step explanation:
Solve for x:
x + 4 + 1/x = (10 x)/7
Bring x + 4 + 1/x together using the common denominator x:
(x^2 + 4 x + 1)/x = (10 x)/7
Cross multiply:
7 (x^2 + 4 x + 1) = 10 x^2
Expand out terms of the left hand side:
7 x^2 + 28 x + 7 = 10 x^2
Subtract 10 x^2 from both sides:
-3 x^2 + 28 x + 7 = 0
Divide both sides by -3:
x^2 - (28 x)/3 - 7/3 = 0
Add 7/3 to both sides:
x^2 - (28 x)/3 = 7/3
Add 196/9 to both sides:
x^2 - (28 x)/3 + 196/9 = 217/9
Write the left hand side as a square:
(x - 14/3)^2 = 217/9
Take the square root of both sides:
x - 14/3 = sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
x = 14/3 + sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
Answer: x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
The answer to this question would be letter B (0,2)
so initially the paper is in full piece.
it is cut into half, which makes into 2. this is pattern 1.
then the halves is further divided in to 2.
then the total becomes 4. then the four pieces are cut into halves, which makes the total of 8 pieces, that is pattern 3..
is if we see the pattern it is a geometric progression.
Tn=ar²-¹ where the r is common ratio
and a is the first term. the question mentioned repeat 15 times.
1. 2
2. 4
3. 8
4. 16
4÷2=2 the common ratio.
So T(15)= 2×2¹⁵-¹
2×2¹⁴
2¹⁵
32768 pieces
please mark brainliest.
The answer is option b because I just know