Answer:
(x - 1) and (x + 4)
Step-by-step explanation:
Given the zeros of a polynomial, say x = a, x = b then the factors are
(x - a), (x - b) and the polynomial is the product of the factors, that is
f(x) = (x - a)(x - b)
Here the zeros are x = 1 and x = - 4, thus the factors are
(x - 1) and (x - (- 4)), that is (x - 1) and (x + 4)
Hey there! :D
Think of this like a triangle. The dock is 15 feet above ground. It is the side of the triangle. The line connecting the bottom of the dock to the base of the conveyor belt is 40 feet. This is like the base.
The conveyor belt itself is at a diagonal, and should be the hypotenuse.
Use the Pythagorean theorem.
a^2+b^2=c^2
15^2+40^2= c^2
225+1,600= c^2
Add the values together.
1,825= c^2
Find the square root of 1,825.
c= 42.7 (rounded to the nearest tenth)
The conveyor belt is 42.7 feet long.
I hope this helps!
~kaikers
Yes. Changing the the word problem into a function, you get 30x=y.
30 = Fixed Length
x = width
y = area
No matter what width (x) you choose, the area (y) is going to be a multiple of 30 (the fixed length) because with two numbers being multiplied, if there is a fixed number that will always be the multiple and not the multiplier. For example, 10 multiplied by every number 1-10 is going to be a multiple of 10.
10x1=10, 10x2=20, 10x3=30, etc
So if Tom chooses any of these widths (x) 5, 10, or 15, y (the area) will be a multiple of 30.
30(5)=150
30(10)=300
30(15)=450
So as we double 5 to get 10, our outcome is doubled 150 to 300 and so forth. Hope this helps.
