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
2x + 2x + 124 + 124 = 360
4x + 248 = 360
2x = 360 - 248 = 112
x = 112/2 = 56
Answer:
20 glasses
Step-by-step explanation:
A glass holds 1/4 liter of water so if you have 4 cups you will have 1 liter of water. If you need 5 liters than you just multiply the number of cups per liter by the number of liters
4 x 5 = 20
The fraction computed shows that the total quantity of meat that Joy bought is 5/6kg.
<h3>How to solve the fraction?</h3>
The fraction can be explained thus: Joy bought 1/2kg of meat from a store and bought 1/3kg of meat from store B. What is the total quantity of meat that Joy bought?
The total quantity of meat that Joy bought will be:
= 1/2 + 1/3
= 5/6
In conclusion, the correct option is 5/6kg.
Learn more about fractions on:
brainly.com/question/78672
