Answer:
Step-by-step explanation:
f(x) = 6x³-x²+4x+5
g(x) = 9x³-1
(f+g)(x) = {6x³-x²+4x+5} + {9x³-1}
open brackets
6x³-x²+4x+5 + 9x³-1
choose like terms
6x³+ 9x³-x²+4x+5 -1
15x³-x²+4x+4= x²(15x-1)+4(x+1)= (x²+4)(x+1)(15x-1)
(f+g)(x)= 15x³-x²+4x+4 = (x²+4)(x+1)(15x-1)
(f+g)(2) = 15(2)³-(2)²+4(2)+4 = 15(8)-4+8+4 = 120+8 = 128
(f-g)(x) = {6x³-x²+4x+5} - {9x³-1}
open brackets
6x³-x²+4x+5 - 9x³+1
choose like terms
6x³- 9x³-x²+4x+5 +1
-3x³-x²+4x+6= -x²(3x+1)+2(2x+3)= (-x²+2)(3x+1)(2x+3) = (2-x²)(3x+1)(2x+3)
(f-g)(x) = -3x³-x²+4x+6 = (2-x²)(3x+1)(2x+3)
(f-g)(-3) = -3(-3)³-(-3)²+4(-3)+6 = -3(-3x-3x-3)-(-3x-3)-12+6=-3(-27)-3(9)-12+6= 81-27-12+6 = 54-6= 48
(f-g)(-3) = 48
Answer:
The probably. that a person who has been in the hospital for the future of the answers to the questions
21/8 miles per hour. Or 2 and 5/8 miles per hour
Answer:
7/35
Step-by-step explanation:
Answer:
1529.4 m^3
Step-by-step explanation:
We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.
First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.
Next, we plug into the formula.
V = 1/3*19.6m*234.09m^2
And simplify:
V= 1/3 * 4,588.164m^3
V= 15.29.3879....
Last, round to the tenth
1529.4 m^3