Answer:
Options (C) and (F)
Step-by-step explanation:
Polynomial function is,
f(x) = x³ - x² - 5x - 3
Possible rational roots of the given function will be = 
By putting x = -1
f(-1) = (-1)³ - (-1)² -5(-1) - 3
= -1 - 1 + 5 - 3
= 0
Therefore, x = -1 will a root of the given function.
Now we apply synthetic division to get the other roots,
-1 | 1 -1 -5 -3
<u> ↓ -1 2 3 </u>
1 -2 -3 0
Therefore, factored form of the polynomial will be (x + 1)(x² - 2x - 3).
Now we will find the roots of (x² -2x - 3).
x² - 2x - 3 = x² - 3x + x - 3
= x(x - 3) + 1(x - 3)
= (x + 1)(x - 3)
For roots of the function, f(x) = 0
(x + 1)(x - 3) = 0
x = -1, 3
Therefore, roots of the function are x = -1, 3
Options (C) and (F) are the answers.
Answer:
m<BAC= 110 degrees
Step-by-step explanation:
Since the outside angle m<BCD is 130 degrees the inside angle m<BCA would be 50 degrees. At this point you should know that inside angles of a triangle add up to 180 degrees so add the two angles that you know then subtract from 180 degrees. 50+20= 70 degrees and 180-70= 110 degrees.
Find the perimeter of the field:
The dimensions are given in meters.
Perimeter = 27 +27 +18 +18 = 90 meters.
The price is given in price per yards, so now convert meters to yards:
1 meter = 1.09361 yards
90 meters x 1.09361 = 98.4252 yards.
Now multiply total yards by price per yard:
98.4252 x 12 = $1,181.10
Answer:
it's 10. ten cannot be divided into 3 with whole number answer. 10 cannot be a triangular number that can be divided by 3
