Answer: A
<u>Step-by-step explanation:</u>
f(x) = x³ + 4x² + 7x + 6
possible rational roots are ±{1, 2, 3, 6}
Try x = -2
-2 | 1 4 7 6
<u>| ↓ -2 -4 -6</u>
1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0
The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.
a=1, b=2, c=3
The factors are:
![(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]](https://tex.z-dn.net/?f=%28x%20-%202%29%5Bx%20-%20%28-1%20%2B%20i%5Csqrt%7B2%7D%29%5D%5Bx%20-%20%28-1%20-%20i%5Csqrt%7B2%7D%29%5D)
A fraction that is less than 5/6 and has a denominator of 8 would be 4/8 because if you compare 4/8 and 5/6 4/8 is less than 5/6. (to compare this two fractions you need to make them have the same denominator so they would end up been 4/8=12/24
5/6=20/24
And 12/24 is smaller than 20/24
(Besides 4/8 is half and 5/6 is more than half
Answer:
The discount percentage has been given: ($ 65 / $ 79) x 100 = 82.27%
So the discount percentage is: 100% -82.27% = 17.72%
Step-by-step explanation:
Answer:
A is estimated to 110.11
Step-by-step explanation:
Area of a regular pentagon = pa/2
p= perimeter
a= the apothem
Calculate it from the side length: p= 5s
19.635 square inches.
Assuming that the pots are arranged in a straight line, each pot would have a diameter of 5, because 5 • 3 = 15, and 15 is the length of the box. The radius of the base of one pot is therefore 2.5.
A = pi • r^2 = pi • 2.5^2 = 19.635 (approximation)
