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.
(2x^2 + 16x + 30) / (5x^2 + 13x -6)
Start by factoring the numerator and denominator.
Cancel any like factors.
2(x^2 + 8x + 15)
2(x + 5)(x + 3) / (5x -2)(x + 3
2(x + 5) / (5x - 2)
The third choice
-32^3/5
= (-2^5)^3/5
= -2^3
= -8
answer
-8
Using proportions, it is found that the ordered pair that represents the location of the layover is (3.75, 1.5).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The flight distance is partitioned in a ratio of 3:1, hence, for both the x and y coordinates, we have that:
L - Nv = 3/4(Ny - Nv)
For the x-coordinate, we have that:
x = 3.75
For the y-coordinate, we have that:
y = 1.5.
The ordered pair that represents the location of the layover is (3.75, 1.5).
More can be learned about proportions at brainly.com/question/24372153
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Answer:
ASSUMING there are 4 answer
It'll be the third option ( or bottom left depending how you look at it )
Step-by-step explanation:
The negative in the equation will have shade colour in the negative side ( Left side of the slope ).
