Answer:
perpendicular
Step-by-step explanation:
Answer:
365
Step-by-step explanation:
The discount is 30 %
That means we pay 70 %
original price * 70% = 255.50
Change to decimal form
original price * .70 = 255.50
divide each side by .70
original price * .70/.70 = 255.50/.70
original price =365
The given <span>polynomial is ⇒⇒⇒ </span><span>f(x) = x³ - 3x² + 81x - 243
</span>
by factoring the absolute term (243) to find one of the factors of the the polynomial
∴ 243 = (1 * 243) or (3 * 81) or (9 * 27)
check which of the numbers {1 , 3 , 9 , 27 , 81 , 243} make f(x)<span>= 0
</span>
i have checked 3 and it makes <span>polynomial = 0
</span>
i.e: f(3) = 0 ⇒⇒ (x - 3) is one of the factors of f(x)
By using the reminder theorem ⇒⇒ see the attache figure
∴

And ⇒⇒ (x² + 81) is a sum of two squares which can be factored using the complex numbers as following
x² + 81 = ( x + 9i ) ( x - 9i )
∴ f(x) = <span>
x³ - 3x² + 81x - 243 = (x - 3)(x + 9i)(x - 9i)</span>
The question says:
4(x) +3 = 2(x) + 9
so now you need to find x
first you should add -2(x) on both sides of the equation and then add -3 on both sides:
4(x) - 2(x) = 9 - 3
2(x) = 6
now you can divide both sides by 2:
x = 6/2
x = 3 :)))
I hope this is helpful
have a nice day