Answer:
i think it would be choice D
Step-by-step explanation:
this would be because the 20 is 19.8 tons rounded up, the (1.1) is the increase of the original amount plus the 9.8 rounded up, and the (1.05) is the increase by 5.1. the reason why they multiply these like 20(1.1)(1.05) is because each number in the parenthesis is the increase, when you multiply something by 1.1 it will give you it's 100% + the 10% growth, same goes for the 1.05 which will give you the 100% + the 5% of 20(1.1)
in other words if you just multiplied by .1 you would only get 10% of what you're seeking while if you multiply by 1.1 you would get the 110%. the 1 is 100%, and the extra percentage you seek is the decimal (number behind the dot) that follows
Since 4i is a root, that automatically means -4i is also a root (complex roots always travel in pairs)
So the factored form would look like
<span>(x+4i)(x−4i).</span>
When multiplied out this gives the polynomial
<span><span>x2</span>+<span>16.</span></span>
Answer:
option A, the pen cost less than $0.35
I hope this is helpful :)
If you had values instead of algebraic expressions, you would find the area of the patio and subtract that from the area of the yard. Even though you don't have values, you can still find the area and subtract by expanding and simplifying:
(8x + 2)(6x + 3)
8x × 6x = 48x²
8x × 3 = 24x
2 × 6x = 12x
2 × 3 = 6
So you get 48x² + 36x + 6 as your area of the yard
(x + 5)(3x + 1)
x × 3x = 3x²
x × 1 = x
5 × 3x = 15x
5 × 1 = 5
So the area of the patio is 3x² + 16x + 5
(48x² + 36x + 6) - (3x² + 16x + 5)
48x² - 3x² = 45x²
36x - 16x = 20x
6 - 5 = 1
So your answer is D. 45x² + 20x + 1. I hope this helps!
