Answer:
domain:{ [3, ∞], int}
Step-by-step explanation:
this is every possible number that is an integer, so domain:{ [3, ∞], int}
note that the format may be different
If you're familiar with the quadratic equation
![\frac{ -b \pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B%20-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
well,
![\frac{ -b}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B%20-b%7D%7B2a%7D%20)
is the x component of the vertex, in your case, the vertex is the highest point
figure out what t is at the highest point, and then substitute that back into the equation in order to determine height
x=t in this problem
Answer:
The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Step-by-step explanation:
Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:
14/000 / 40 = X
350 = X
350 x 80 = 28,000
Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Let number = n
the sum of a number and 2: n + 2
is no more than: ≤
the product of 9 and the same number: 9(n)
n + 2 ≤ 9n is your answer
hope this helps
Answer:
Step-by-step explanation:
Let w represent the width of the rectangle.
The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. It means that the length is (2w - 7) inches
Part A
The function that gives the area as a function of the width is
A(w) = w(2w - 7)
Part B:
If the area of the rectangle is 60 square inches, it means that
w(2w - 7) = 60
2w² - 7w = 60
2w² - 7w - 60 = 0
2w² + 8w - 15w - 60 = 0
2w(w + 4) - 15(w + 4) = 0
2w - 15 = 0 or w + 4 = 0
w = 15/2 or w = - 4
Since w cannot be negative, then
w = 15/2 = 7.5 inches