Answer:
{x = -1 + √13 , x = -1 - √13}
Step-by-step explanation:
<u><em>Completing the square</em></u>:
f(x) = x² + 2x - 12
= x² + 2x + 1 - 1 - 12
= (x² + 2x + 1) - 1 - 12
= (x + 1)² - 13
<u><em>Solving</em></u>:
f(x) = 0
⇔ (x + 1)² - 13 = 0
⇔ (x + 1)² = 13
⇔ x + 1 = √13 or x + 1 = -√13
⇔ x = -1 + √13 or x = -1 - √13
Answer: b.97
97+37+46=180
Answer:
A. g(x) + 3/5x^2 - 3
Step-by-step explanation:
Well we can tell that the parabola is wider than its parent function "y=x^2",
Meaning x is now a fraction or a decimal <u>less than 1</u>.
So we can eliminate choices B and D.
Also we can see that the y intercept is at -3 because thats where the parabola touches the y axis.
<em>Thus,</em>
<em>the answer is choice A. </em>
<em>.</em>
<em />
<em>Hope this helps :)</em>
<h3>
Answer: 31 games</h3>
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Explanation:
- 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
- 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
- 8/2 = 4 games happen in round 3.
- 4/2 = 2 games in round 4.
- 2/2 = 1 game as the final championship.
Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.
To get the total number of games played, we add up the quotients
16+8+4+2+1 = 31
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Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1
We can write that rule as

which is equivalent to

Answer:
6/16,12/32
Step-by-step explanation:
Multiply each number