Answer:
f(x) = x² - 10x + 24
Step-by-step explanation:
The quadratic function has a graph that passes through the points (4,0) and (6,0).
Therefore, the graph has two x-intercepts at x = 4 and x = 6 and those are the roots of the equation.
So, (x - 4) and (x - 6) are two factors of the quadratic equation.
Then we can write the equation as
f(x) = (x - 4)(x - 6)
⇒ f(x) = x² - 4x - 6x + 24
⇒ f(x) = x² - 10x + 24
Hence, this is the required quadratic function in standard form. (Answer)
7.5, because:
Ex: .1, 1 is in the tenths place because it is right after the decimal. The digit after 5 is 0, and that rounds down. 0-4 round down, and 5-9 round up. So, 0 would keep 5 as itself.
25.00 to enter park
1.25 for each rides and she goes on 9
It would be 11.25
Answer:
Step-by-step explanation:
![5p^3+45p^2+40p=5p(p^2+9p+8)=5p(p^2+p+8p+8)\\\\=5p\bigg[p(p+1)+8(p+1)\bigg]=5p(p+1)(p+8)\\\Downarrow\\\boxed{5p};\ \boxed{(p+1)};\ \boxed{(p+8)}](https://tex.z-dn.net/?f=5p%5E3%2B45p%5E2%2B40p%3D5p%28p%5E2%2B9p%2B8%29%3D5p%28p%5E2%2Bp%2B8p%2B8%29%5C%5C%5C%5C%3D5p%5Cbigg%5Bp%28p%2B1%29%2B8%28p%2B1%29%5Cbigg%5D%3D5p%28p%2B1%29%28p%2B8%29%5C%5C%5CDownarrow%5C%5C%5Cboxed%7B5p%7D%3B%5C%20%5Cboxed%7B%28p%2B1%29%7D%3B%5C%20%5Cboxed%7B%28p%2B8%29%7D)
The answer would be C: 5^4
