Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.
According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)
=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.
Answer:
1, i can't see the pic so i can't answer the Question
Step-by-step explanation:
We are given with the costs: 4$ entrance fee and 3$ per pound of pumpkin picked. The total amount of costs is represented by the function: y = 4 + 3x where y is the total cost of a person entering the patch and x is the number of pounds of pupmkin bought.
The solution of the system of equations contains one point
<h3>How to determine the number of solutions?</h3>
The system is given as:
x + y = 6
x - y = 0
Add both equations
2x = 6
Divide by 2
x = 3
Substitute x = 3 in x - y = 0
3 - y = 0
Solve for y
y = 3
So, we have x =3 and y = 3
Hence, the solution of the system of equations contains one point
Read more about system of equations at:
brainly.com/question/14323743
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Answer:
This is a way of expressing a relationship between x and y in set notation. It is called an ORDERED pair.
