Using an linear function, we have that:
- The inequality is:
- The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem:
- A warehouse contains 7250 books in it, hence b = 7250.
- Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.
Thus, the number of books each day is modeled by the following function:
It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:
Then:
The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
More can be learned about linear functions at brainly.com/question/24808124
A = bh/2
2a = bh
2a/b = h
h = 2a/b
Answers:
B. <span>The x-coordinate of point A is 5.
</span>E. <span>Point A is on the x-axis.
</span>
Explanation:
Any point drawn on the coordinates has the general notation of (x,y).
The given point is (5,0). This means that:
The x-coordinate of the point is 5
The y-coordinate of the point is 0
Now, let's check the place of this point.
The x-coordinate of the point is 5. This means that we will move 5 points to the right of the origin on the x-axis
The y-coordinate of the point is 0. This means that we will not move along the y-axis which means that the point stays on the x-axis.
Now, comparing the deduced results with the given choices, we will find that the correct choices are B and E
Hope this helps :)
To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
