Answer:
3
Step-by-step explanation:
To find the average rate of change, we can use the formula: (y2-y1) / (x2-x1).
Let (15, 45) be (x1, y1) and (29, 87) be (x2, y2).
So we have: (87-45) / (29-15)
This can be simplified to: 42/14, or 3.
Let me know if this helps!
Answer:
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Since it's a decimal it can not be an integer.
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
Might be 134 because since angle 2 and 8 are lined up like that it is same side exterior angles which means they are supplementary from each other so they will equal 180. So I did 180-46 to get 134, I’m not sure if I’m correct
Answer:
m=2 :)
Step-by-step explanation:
Let's solve your equation step-by-step.
6m−2=2m+6
Step 1: Subtract 2m from both sides.
6m−2−2m=2m+6−2m
4m−2=6
Step 2: Add 2 to both sides.
4m−2+2=6+2
4m=8
Step 3: Divide both sides by 4.
4m
/4
=
8/
4
m=2