Answer:
x = 3
x = 0
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
2x^2 - 6x = 0
Pull out like factors
2x * (x - 3) = 0
Solve: 2x = 0
Divide both sides of the equation by 2:
x = 0
Solve: x-3 = 0
Add 3 to both sides of the equation:
x = 3
The prism is (8 in)/(1/4 in/cube) = 32 cubes by (4 in)/(1/4 in/cube) = 16 cubes by (9/4 in)/(1/4 in/cube) = 9 cubes.
The number of cubes needed to fill the prism is
.. 32 * 16 * 9 = 4608
Answer:
9
It is 9 because 9 is the only number that multiplied by itself is 81.
Answer:
B!!!
Step-by-step explanation:
Let p be: John goes to the beach
Let q be: He will go surfing.
Then in symbolic form, the argument becomes:

p ⇒ q
p
---------------------
∴ q
An argument is valid if the conjuction of the premises implies the conclusion.
p | q | p ⇒ q | (p ⇒ q) ∧ p | [(p ⇒ q) ∧ p] ⇒ q
---------------------------------------------------------------------\
F | F | T | F | T
F | T | T | F | T
T | F | F | F | T
T | T | T | T | T
The table above shows that the argument is a tautology.
Hence, the argument is valid