(5,60)(10,40)
slope = (40 - 60) / (10 - 5) = - 20/5 = -4
y = mx + b
slope(m) = -4
(5,60)...x = 5 and y = 60
now we sub and find b, the y int
60 = -4(5) + b
60 = -20 + b
60 + 20 = b
80 = b
equation is : y = -4x + 80
function form : f(x) = -4x + 80...where x = number of weeks and f(x) = loads of waste removed
To find the maximum height, we must find the x value at which the maximum height occurs.
The maximum height occurs at x = 0 because that is where y is the largest.
When we plug x= 0 into the function that is given in the question, we get 630 ft.
Hope it helps!
Answer:
C.
Step-by-step explanation:
By analyzing the functions f(x) and g(x), we can see that they are both quadratic relations.
To find the minimum value, we want to find the y-coordinate of the vertex.
In f(x), by using the formula (-b/2a), we get the x-coordinate of the vertex, 70. When we substitute 70 into the function, we get 55 as our minimum.
In h(x), we can see that the lowest y-coordinate in the given points is 899.52. So (1, 899.50) is our vertex.
This means that in f(x), the minimum production cost is $70. In contrast, in h(x), the minimum production cost is $899.50. Therefore f(x) has a lower minimum, with its minimum value at (70, 55), our vertex.
No.
Any number you can write completely is a rational number.
Any number with a repeating decimal fraction is also a rational number.
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Any number that goes on forever without repeating is an irrational number. These are usually represented symbolically (because they cannot be written "exactly" any other way). These include such numbers as √2, π, e, ∛(-4), and an infinite number of others.
