To evaluate for the slope we use the formula:
slope,m=(y₁-y)/(x₁-x)
thus selecting 2 points from the graph where the line cuts, (0,0) and (5, 0.6)
thus plugging the values in the formula and simplifying we obtain:
m=(0.6-0)/(5-0)
m=0.6/5
m=0.12
hence the slope of the line of best fit is m=0.12
Addition is the inverse of subtraction and multiplication is the inverse of division.
Ex: 1+1 = 2, 2-2 = 0
Your answer is not correct.
The correct answer is the third one:
-No, because the distance from the origin to point (7,-7) is greater than the radius of the circle.
1. Find the equation of the line AB. For reference, the answer is y=(-2/3)x+2.
2. Derive a formula for the area of the shaded rectange. It is A=xy (where x is the length and y is the height).
3. Replace "y" in A=xy with the formula for y: y= (-2/3)x+2:
A=x[(-2/3)x+2] This is a formula for Area A in terms of x only.
4. Since we want to maximize the shaded area, we take the derivative with respect to x of A=x[(-2/3)x+2] , or, equivalently, A=(-2/3)x^2 + 2x.
This results in (dA/dx) = (-4/3)x + 2.
5. Set this result = to 0 and solve for the critical value:
(dA/dx) = (-4/3)x + 2=0, or (4/3)x=2 This results in x=(3/4)(2)=3/2
6. Verify that this critical value x=3/2 does indeed maximize the area function.
7. Determine the area of the shaded rectangle for x=3/2, using the previously-derived formula A=(-2/3)x^2 + 2x.
The result is the max. area of the shaded rectangle.
Answer:
-3.4
Step-by-step explanation:
negative numbers are reverse counting on the line graph.
-3 1/2 is -3.5
-3.4 VS. -3.5
since it is reverse, -3.4 is greater
