Answer:
6
Step-by-step explanation:
First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.
Expanding, we get
(x³-3x+1)² = (x³-3x+1)(x³-3x+1)
= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1
= x^6 - 6x^4 + 2x³ +9x²-6x + 1
In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots
Answer:
Step-by-step explanation:
Answer:
A = 28.125 * pi cm^2
A = 88.357 cm^2
Step-by-step explanation:
Area of a sector is 1/2 r^2 theta where theta is in radians
convert 45 degrees to radians
theta = 45 * pi/180 = pi/4
A = 1/2 * 15^2 * pi/4
A =1/2 * 225 * pi/4
A = 28.125 * pi cm^2
A = 88.357 cm^2
Answer:
16: 0.5, 5, 7.5
17: 62, 434, 682
18: 12.3, 62.5, 10
19: 1, 75, 300
Step-by-step explanation:
16: 9/18=0.5 so halve the numbers
17: 186/3=62 so multiply numbers by 62
18: 24.6/2= 12.3 so multiply by 12.3 and divide for the last one
19: 125/5=25 so for the first one divide by 25 and for the last two times by 25
