The answer is D! x(x+4). Hope this helps!!
Answer:
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The graphed line is y = 3/2x + 3.
In order to solve for this, we need to start by finding the slope. To find the slope, we start by selecting two points on the graph. We'll use (0, 3) and (-2, 0).
m(slope) = (y2 - y1)/(x2 - x1)
m = (3 - 0)/(0 - -2)
m = 3/2
Now that we have this, we can use a point and slope intercept form to find the intercept.
y = mx + b
0 = (3/2)(-2) + b
0 = -3 + b
3 = b
And we can use the slope and intercept to model the equation as y = 3/2x + 3
1 pound = 16 ounces
1 ton = 2,000 pounds
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
