To simplify the expression:
-(6 x^3 - 2 x + 3) - 3 x^3 + 5 x^2 + 4 x - 7
Start with - (6 x^3 - 2 x + 3) = -6 x^3 + 2 x - 3:
-6 x^3 + 2 x - 3 - 3 x^3 + 5 x^2 + 4 x - 7
Next, combine similar terms: -3 x^3 - 6 x^3 + 5 x^2 + 4 x + 2 x - 7 - 3 = (-3 x^3 - 6 x^3) + 5 x^2 + (4 x + 2 x) + (-7 - 3):
(-3 x^3 - 6 x^3) + 5 x^2 + (4 x + 2 x) + (-7 - 3)
-3 x^3 - 6 x^3 results in -9 x^3:
-9 x^3 + 5 x^2 + (4 x + 2 x) + (-7 - 3)
Combine 4 x and 2 x to get 6 x:
-9 x^3 + 5 x^2 + 6 x + (-7 - 3)
The operation -7 - 3 yields -10:
-9 x^3 + 5 x^2 + 6 x - 10
Factoring out -1 from -9 x^3 + 5 x^2 + 6 x - 10 leads to:
Final Answer: - (9 x^3 - 5 x^2 - 6 x + 10)
The y-intercept is now 12.5, and the slope has increased to 0.5625. After the policy adjustment, an additional $5 was included, followed by multiplying the total amount by 1.25.
Answer:
Kayla is right; the center constitutes a fixed point located at the sphere's core.
Step-by-step explanation:
Kayla is indeed correct, whereas Raymond is mistaken since a point itself cannot represent a radius; a radius is defined as the line segment stretching from the center to the surface.
The center is indeed the stable point positioned at the center of the sphere.
