Answer:
-3 1/2
Step-by-step explanation:
Answer:
2/10
Step-by-step explanation:
If you are trying to find out the probability of a number just know that the whole number is always going to be the denominator. In this problem, the denominator is <em>10</em> because that is the whole number of pieces of paper.
Then we look at the second part of the problem where it is asking us to figure out the probability of pulling out a number that is less than 3 which would only leave us with <em>1-2 </em>
This means that the probabilaty of pulling out a number less than 3 is <u><em>2/10</em></u>
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
Answer:
y=-2x-3
Step-by-step explanation:
4x+2y=-6
2y=-6-4x
y=-6/2-4/2x
y=-3-2x
y=-2x-3
