Answer:
2562 - 960√5/11
Step-by-step explanation:
We are given here the value of x as 4 - √5. We need to find the value of x² + 1/x² . So let's find out 1/x
⇒ x = 4 - √5
⇒ 1/x = 1/4-√5
⇒ 1/x = (4 + √5) / ( 4 - √5) ( 4 + √5 )
⇒ 1/x = 4 + √5 / 4² - (√5)²
- [ using (a+b)(a-b) = a² - b²]
⇒ 1/x = 4+√5 / 16 - 5
⇒ 1/x = 4+√5/11
⇒ x² + 1/x² = (4-√5)² + (4+√5)²/11²
⇒ x² + 1/x² = 121( 16 + 5 -8√5 ) + 16 + 5 + 8√5 / 121
⇒ x² + 1/x² = 1936 + 605 - 968√5 + 21 + 8√5 / 121
⇒ x² + 1/x² = 2562 - 960√5/11
Answer:
No.
Step-by-step explanation:
A quadrilateral just means that the shape has for sides. A rectangLe has to have 4 right angles, but not all quadrilaterals do.
Answer:
The function is y = 17000 + 820 x
where: y = price of the car.
x = time in years.
After 3.3 years, the car will cost $19706.
Step-by-step explanation:
Hi there!
Let y be the price of the car.
After the first year, the price of the car will be:
y = 17000 + 820
After the second year:
y = 17000 + 820 + 820 or 17000 + 820(2)
After the third year:
y = 17000 + 820 + 820 + 820 or 17000 + 820(3)
Then, after x years:
y = 17000 + 820 x
After 3.3 year, the car will cost:
y = 17000 + 820(3.3) = 19706
After 3.3 years, the car will cost $19706.
Answer:
Five
Step-by-step explanation:
Pivot columns are said to be columns where pivot exist and a pivot exist in the first nonzero entry of each row in a matrix that is in a shape resulting from a Gaussian elimination.
Suppose A = 5 × 7 matrix
So; if A columns span set of real numbers R⁵
The number of pivot columns that A must have must be present in each row. In a 5 × 7 matrix ; we have 5 rows and 7 columns . So , since A must be present in each row, then :
The matrix must have five pivot columns and we can infer that about the statements that "A has a pivot position in every row" and "the columns of A spans R⁵" are logically equivalent.
Answer: 0.31 is the decimal form of 31%
Step-by-step explanation: