(x - 5i√2)(x +5i√2)
given the roots of a polynomial p(x), say x = a and x = b
then the factors are (x - a)(x - b)
and p(x) is the product of the factors ⇒ p(x) = (x - a)(x - b)
here x² + 50 = 0 ⇒ x² = - 50 → ( set = 0 for roots)
take the square root of both sides
x = ± √-50 = ± √(25 × 2 × -1) = √25 × √2 × √-1 = ± 5i√2
The roots are x = ± 5i√2
thus the factors are ( x - ( - 5i√2)) and (x - (+5i√2))
x² + 50 = (x + 5i√2)(x - 5i√2)
C r = (n!)/(r!(n-r)!)
9 C 3 = (9!)/(3!*(9-3)!)
9 C 3 = (9!)/(3!*6!)
9 C 3 = (9*8*7*6!)/(3!*6!)
9 C 3 = (9*8*7)/(3!)
9 C 3 = (9*8*7)/(3*2*1)
9 C 3 = (504)/(6) 9 C 3 = 84
Correct answer:
Option B. y = 50.5x - 240 If we plot these points on a graph, we will observe that these points mostly lie in a straight line. Therefore, a straight line will be the best fit for the given ordered pairs. The equation of the best fit can be found using any tool like Statistica, Stata or Excel. I have used Microsoft Excel to plot the lines and find the equation of best fit. The graph and equation are shown below in the image attached with:
Based on the weight and the model that is given, it should be noted that W(t) in radians will be W(t) = 0.9cos(2πt/366) + 8.2.
<h3>
How to calculate the radian.</h3>
From the information, W(t) = a cos(bt) + d. Firstly, calculate the phase shift, b. At t= 0, the dog is at maximum weight, so the cosine function is also at a maximum. The cosine function is not shifted, so b = 1.
Then calculate d. The dog's average weight is 8.2 kg, so the mid-line d = 8.2. W(t) = a cos t + 8.2. Then calculate a, the dog's maximum weight is 9.1 kg. The deviation from the average is 9.1 kg - 8.2 kg = 0.9 kg. W(t) = 0.9cost + 8.2
Lastly, calculate t. The period p = 2π/b = 2π/1 = 2π. The conversion factor is 1 da =2π/365 rad. Therefore, the function with t in radians is W(t) = 0.9cos(2πt/365) + 8.2.
Learn more about radians on:
brainly.com/question/12939121
Answer:
The answer is $1.70
Step-by-step explanation:
If 6 plums are $1.50 you would divide $1.50 by 6 to get the unit cost, $.25. Then you do the same thing for the apples. $3.00 divided by the 5 apples is $.60. Now you need to multiply both unit costs by 2 then add them together to get $1.70
(plums) $1.50 / 6 = .25
(apples) $3.00 / 5 = .60
(plums) .25 x 2 = .50
(apples) .60 x 2 = $1.20
$1.20 + .50 = $1.70
Hopefully I could help!!