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:
vertical angle
Step-by-step explanation:
hope this helps a little
Answer:
True.
Step-by-step explanation:
Volume of a cylinder = π r^2 h where h = height and π r^2 = the base area.
Volume / height = π r^2 h / h = π r^2 = base area.
Answer:
x < -8
Step-by-step explanation:
−3x>24
Divide each side by negative 3, remembering to flip the inequality
-3x/-3 < 24/-3
x < -8
Answer:
72
Step-by-step explanation:
Jeff can divide the coin evenly in 6 or 9 bags, so the number of coin should have 9 and 6 as the factor. The lowest common factor for 6 and 9 will be:
6= 2 x 3
9= 3^2
LCF= 2 x 3^2= 18
From here you need to find the common multiple of 18 that will have 2 remainder after divided by 5. When 18( divided by 5, it will left 3 as remainder.
Multiple of 3 that give 2 remainder after divided by 5 will be 3x4= 12. Then least coin Jeff should have will be: 4x18= 72
