
To find the critical points, first we derivate the function:

dy/dx has roots x = 0 and x = -5/6.
When x < -5/6, we can check that dy/dx is negative. When -5/6 < x < 0, we can check that dy/dx is positive. And, when x > 0, we can check that dy/dx is also positive.
Therefore, y is increasing when x > -5/6 and decrasing when x < -5/6. y has inflection points at x = -5/6 and x = 0
2x - 7y = 14
x intercept is when y=0
2x = 14
x = 14/2 = 7
Answer: x intercept is 7
y intercept is when x=0
-7y = 14
y = -2
Answer: y intercept is -2
The student didn't make any mistake. The slope of the line between those points is 3/8.
We have been given that Grant spent $2.50, $4.00, $4.25, and $3.25 on breakfast in one week. The next week he spent $6 more in total for the 4 breakfasts than the week before. We are asked to find increase in the mean of second week.
Since Grant spent $6 more than last week, we will divide 6 by 4 to get how much mean of second week breakfast expenditures increased with respect to first week expenditures.
Therefore, mean of second week breakfast expenditure will be $1.5 more than first week.
Answer:

Step-by-step explanation:
First plot (3,1). Then use the slope to create the second point. Go up 1, right 2.
Next draw a line connecting the points. The line touches the y-axis at 0.
is the form you use.
~theLocoCoco