Answer:
a^3 + b^3
Step-by-step explanation:
(a + b)(a^2-ab+b^2)
a(a^2 -ab +b^2) +b(a^2-ab+b^2)
a^3 - a^2b +ab^2 + ba^2 -ab^2 +b^3
a^3 -a^2b +a^2b ab^2-ab^2 + b^3
The final answer will then be:
a^3 + b^3
Hope this helps! Have a great one! And I give out the best of luck for whatever quiz this is on!
Step-by-step explanation:
First, find the degrees of freedom:
df = n − 1
df = 49
To find the p-value manually, use a t-score table. Find the row corresponding to 49 degrees of freedom. Then find the α column that corresponds to a t-score of 1.421. You'll find it's between α = 0.10 (t = 1.299) and α = 0.05 (t = 1.677). Interpolating, we get an approximate p-value of 0.084. For a more accurate answer, you'll need to use a calculator.
The solution to this equation is (-3,3)
This 2 x 2 (two equations, two variables) system of equations can be solved by either the elimination or substitution methods. Since it takes one step to write one variable for another, substitution gets the call here.
Call x + y = 12 equation #1
Call 20x + 35y = 315 equation #2
We solve equation #1 for y (you can do it for x too).
x + y = 12
y = 12 - x.
Now we take that solved equation and put it into #2. We solve it for x.
20x + 35 (12 - x) = 315
20x + 420 - 35x = 315
-15x + 420 = 315
-15x = -105
x = 7
Now we take that x = 7 and put it back into an ORIGINAL equation. You can use either one, but equation #1 works well here.
x + y = 12
7 + y = 12
y = 5
Therefore the solution of the system is x = y and y = 5, or (7, 5).
How many points will you give?