Answer:
<em>f(x) = 2(x + 2)(x - 3)(x - 4) or</em>
<em>f(x) = 2x^3 - 10x^2 - 4x + 48</em>
Step-by-step explanation:
If a cubic function has zeros a, b, c, then its equation is
f(x) = k(x - a)(x - b)(x c)
f(x) = k(x - (-2))(x - 3)(x - 4)
f(x) = k(x + 2)(x - 3)(x - 4)
f(5) = k(5 + 2)(5 - 3)(5 - 4)
f(5) = k(7)(2)(1)
f(5) = 14k
We are told f(5) = 28, so we set 14 equal to 28 and solve for k.
14k = 28
k = 2
f(x) = 2(x + 2)(x - 3)(x - 4)
f(x) = 2x^3 - 10x^2 - 4x + 48
Answer:
Don't know if you are still online but, I have an answer to 25. I got 5r-r^2-6
Step-by-step explanation:
I believe this equation is a polynomial equation where you combine like terms. When subtracting you distribute the negative first then combine the similar term, just like adding with an extra step involved. So you take 3r and 2r and combine them because (like mentioned), you combine the terms that are same. You add them and get 5r. Since -r^2 and six don't have the same terms, they stay the same and you combine the terms and make in it into a simplfied polynomial sequence. 5r-r^2-6.
Hope this helped! Sorry it took so long! Haven't done this since last year.
Answer:
14
Step-by-step explanation:
divide by 10
Hey there!
In order to solve this problem, we can use the slope given two points formula:
y2-y1/x2-x1
Now, we can plug in our points to get:
1-0/5-0 = 1/5
Your answer is 1/5, or B.
Hope this helps!