Answer:
(x-4) is not a factor of f(x)=x³-2x²+5x+1
Step-by-step explanation:
Uding the remainder theorem,(x-4) is a factor if the remainder is 0
Plug in x=4
(4)³-2(4)²+5(4)+1
64-32+20+1
64-53
11
<h3>Answer:</h3>
One line segment is 10 cm and the other one is 45 cm
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Answer:

Step-by-step explanation:
If it has a slope of 3/4, then it will look like this:

If it passes through (4, 0), than y = 0 when x = 4



Therefore, the equation is
.
Answer:
area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-
Step-by-step explanation:
- let, the shape of the bulletin board is a rectangle,
- then the perimeter of it = sum of all sides
= 2[length+width] = 2[l+w]
(let l: length, w : width )
100= l+w ( dividing both the sides by 2)
so, l= 100-w
- area = length*width=l*w=[100-w]*w
- therefore,area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-
