Answer:
x^4 - 11·x^2 + 18 = 0
I use Vieta's formulas
-9·(-2) = 18 and -9 + (-2) = -11
(x^2 - 9)·(x^2 - 2) = 0
(x + 3)·(x - 3)·(x + √2)·(x - √2) = 0
The term for this sequence is 2.
It's an easy pattern!..
The second term is two times two.
The third term is two times three and so on..
Step-by-step explanation:
We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,
→ (a + b)² = a² + b² + 2ab
→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)
We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)
Solve the brackets, to do so first put the like terms in one box.
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)
Solve the rest calculations.
→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)
→ (2√5 + 3√2)² = 38 + 12√10
Option (a) (38 + 12√10) is the correct option.
The equation is AN=A1+D(N-1) A1 being the first number (2) D being the difference (in this case 5) and N being the nth term to find (34) so here you have AN=2+5(34-1) then AN=2+5(33). the answer here is 167.
A) The amount financed is the purchase amount less the down payment.
$2,574.54 -574.54 = $2000.00
B) The finance charge is the total of payments less the amount financed.
18*$121.00 -2000.00 = $178.00
C) The APR is calculated by a financial calculator to be 10.96%.