Answer: 8/9
Step-by-step explanation:
The common multiple they all share is 18, so change the denominator to that for all the fractions.
2/3 = 12/18
13/18 = 13/18
7/9 = 14/18
5/6 = 15/18
The next answer would be 16/18 which is equivalent to 8/9
By "y = −9x2 − 2x" I assume you meant <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).
Let's find the first derivative of y with respect to x: dy/dx = -18x - 2. This is equivalent to the slope of the tangent line to the (parabolic) curve. Now let this derivative (slope) = 0 and solve for the critical value: -18x - 2 = 0, or
-18x = 2. Solving for x, x = -2/18, or x = -1/9.
When x = -1/9, y = -9(-1/9)^2 - 2(-1/9). This simplifies to y = -9/9 + 2/9, or
y = -7/9.
The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>
Answer:
3/4 = 15/20 and 7/10 = 14/20
Step-by-step explanation:
the least common denominator for these fractions is 20 so multiply 7/10 by two and 3/4 by 5 so that they both get denominators of 20
You would get something like this. This is because with the first kid, they can get either Heads or Tails, two possibilities.
After this, the second kid can also cause either Heads or Tails but they are building on what the first kid had already done, so four possibilities.
Thsi keeps on multiplying on and on by 2 the more kids who flip a coin.