The equation of a line in point-slope form is expressed as:
y = mx + b
- m is the slope of the line
Given the inequality -2y > 7x + 4, this can also be expressed as:
-2y > 7x + 4
y < -7/2x -4/2
y< -7/2x - 2
This shows that the line will be a dashed line and cuts the y-axis at y= -2
Learn more on inequality graph here: brainly.com/question/11234618
The ball reaches its maximum height after 3.5 seconds, and the maximum height is 61.025 meters.
Answer:
Option C, 1225
Step-by-step explanation:
y=4.009x-77.531
selling 325 pizzas, so x=325, now putting the value of x in the equation,
y=4.009×325-77.531
or, y=1225.394
y = 1225.394, which is the profit, if we approximate it to the nearest value, it's $1225
Answer:
Step-by-step explanation:
A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:
x ≥ 2y . . . . . pumpkin acres are at least twice corn acres
x - y ≤ 10 . . . . the difference in acreage will not exceed 10
12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18
0 ≤ y . . . . . the number of corn acres is non-negative
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B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...
P = 360x +225y
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C) see below for a graph
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D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.
So profit is maximized for 18 acres of pumpkins and 9 acres of corn.
Maximum profit is $360·18 +$225·9 = $8505.
Answer:
the first two answers are perpendicular