Answer:
18.72
Step-by-step explanation:
cost of four cartons = $ 5.76
cost of one carton = $ 5.76/4
cost of 13 cartons= $ 5.76/4× 13
=$ 18.72
Answer:
Therefore the required point where it crosses y-axis is (0 , 4)
Step-by-step explanation:
Given:
...............Equation of line
Intercepts:
The line which intersect on x-axis and y-axis are called intercepts.
There are two intercepts:
x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.
y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.
For a line crosses Y-axis we have,
Put x = 0 in above equation we get
Therefore the required point where it crosses y-axis is (0 , 4)
(a) We want to find a scalar function
such that
. This means


Looking at the first equation, integrating both sides with respect to
gives

Differentiating both sides of this with respect to
gives

Then the potential function is

(b) By the FTCoLI, we have



First I would isolate the "y"/make the "y" positive.
-y ≤ 4x
Divide -1 on both sides (if you multiply or divide by a negative number/variable, you flip the sign [< , > , ≤ , ≥])
y ≥ -4x
You can think of this inequality like the slope intercept form: y=mx + b
"m" is the slope, "b" is the y-intercept(when x = 0). The only difference is that the sign is not an equal sign. The slope is -4, and since you don't have a y-intercept, you start from the origin. So your line is decreasing.
When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>"), the line is a solid line.
When the sign is < or >, the line is a dotted line.
Based on the inequality, the "y" is <u>greater than or equal to</u> the equation(-4x), so the shaded area is above the line, and the line is solid.
Your answer is A