The least common multiple for 3, 4, 5, 6, 10, and 15 is 60.
Answer:
Option A
fraction numerator square root of 2 over denominator 2 end fraction
Step-by-step explanation:
The answer can be obtained using a calculator.
It corresponds to a notable identity
sin (45) =
/ 2
sin (45) = 0.7071
/ 2 = 0.7071
Please see attached picture
Answer:
<em>Option A; the tournament did begin with 128 teams</em>
Step-by-step explanation:
We can see that this equation is represented by compound interest, in other words an exponential function, either being exponential growth or exponential decay;
f ( x ) = a + ( b )^x, where a ⇒ start value, b ⇒ constant, x ⇒ ( almost always considered ) time, but in this case rounds
Option A; The equation is given to be t ( x ) = 128 * ( 1/2 )^x. Given by the above, 128 should represent the start value, hinting that the tournament <em>did indeed begin with 128 teams</em>
Option B; As the rounds increase the number of teams approach 128. Now mind you 128 is the start value, not the end value, which would mean that <em>this statement is false</em>
Option C; The tournament began with 1/2 teams. Theoretically that would not be possible, but besides that the tournament began with 128 teams, only differed by 1/2 times as much every round. <em>This statement is thus false</em>
Option D; This situation actually represents exponential decay. If each round the number of teams differed by 1/2 times as much, the number of teams remaining is less than before, and thus this models exponential decay, not growth<em> ( statement is false )</em>
<em>Answer : Option A; the tournament did begin with 128 teams</em>
Answer:
0 = 0 => Infinitely many solutions
Step-by-step explanation:
Answer:
2x² + 6x - 4
Step-by-step explanation:
f(x) - g(x)
= 3x² + x - 3 - (x² - 5x + 1) ← distribute
= 3x² + x - 3 - x² + 5x - 1 ← collect like terms
= 2x² + 6x - 4