Answer:
a^3 + a^2
Step-by-step explanation:
Distribute the term left of each set of parentheses, then combine like terms.
-a²(3a - 5) + 4a(a² - a) =
= -3a^3 + 5a^2 + 4a^3 - 4a^2
= a^3 + a^2
Since the carton can hold 1000 units of the cubes.
Each unit of cube = 1inch * 1inch *1inch = 1inch³
Total volume = 1000 * 1inch³ = 1000 inch³
To get the dimension: The carton would take the shape of a cube.
Let each side be x.
x*x*x = 1000
x³ = 1000 Take the cube root of both sides.
∛x³ = ∛1000
x = 10
The dimension of the carton is 10 inches by 10 inches by 10 inches
Answer:
(2, -2)
Step-by-step explanation:
Given the equation
x - y = 4 ... 1
6x+y = 10 ...2
Add both expressions
x+6x = 4 + 10
7x = 14
x = 14/7
x = 2
Substitute x = 2 into equation 1;
From 1;
x - y = 4
2 - y = 4
y = 2-4
y = -2
Hence the solution to the system of equation is (2, -2)
Answer:
Step-by-step explanation:
this is an arithmetic series
and to find out the 9th term
1 second ....................... k feet
2 second...........................2.5 feet
3 sec.....................................4 feet
4 sec....................................5.5 feet
difference 1.5
5 sec................................7 feet
6 sec................................8.5
7 sec.................................10 ft
8
9second .............................................13 ft
