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:
Point (-5,21) would end up in quadrant II (2).
Step-by-step explanation:
It would end up in quadrant 2 because x=-5 which means it would go left.
y=21 which means it would go up.
Because of this, the point would end up in the top left of the graph which is quadrant 2.
Answer:
f(x) = -2|x| + 1
Step-by-step explanation:
The graph shifts one unit up the y axis since there's a value outside the absolute value which directly adds 1 to it.
Answer:
y = -3/4x - 6
Step-by-step explanation:
Use y-intercept (0, -6) and slope -3/4 and put into y=mx+b form to solve for b
Remember that m is also known as slope!
-6=(-3/4 * 0) + b
b= -6
y= -3/4x - 6
