Answer:
![f(x)=x^2-x-12](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-x-12)
Step-by-step explanation:
<u>Quadratic Function</u>
Standard Form of Quadratic Function
The standard representation of a quadratic function is:
![f(x)=ax^2+bx+c](https://tex.z-dn.net/?f=f%28x%29%3Dax%5E2%2Bbx%2Bc)
where a,b, and c are constants.
When the zeros of f (x1 and x2) are given, it can be written as:
f(x)=a(x-x1)(x-x2)
Where a is a constant called the leading coefficient.
We are given the two roots of f: x1=-3 and x2=4, thus:
f(x)=a(x+3)(x-4)
We also know that f(5)=8, thus:
f(5)=a(5+3)(5-4)=8
Operating:
a(8)(1)=8
Solving:
a=1
The function is:
f(x)=1(x+3)(x-4)
Operating:
![\boxed{f(x)=x^2-x-12}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%28x%29%3Dx%5E2-x-12%7D)
Answer: 350
Step-by-step explanation: If you multiply the amount of <em>workers</em> by two, then you divide the amount of <em>time </em>by two, and vice versa. So, in other words, whatever number you multiply the workers by, divide the time by that same number. I hope this helps!
Answer: 9/100
Step-by-step explanation:
Probability of people own a cat:
P(cat)=30/100=0.3
Probability of people own a bird:
P(bird)=3/100=0.03
Probability of both own a cat and a bird
P(cat and bird)=(30/100) × (3/100)
=90/1000=9/100=9%
n - 12 = -9
Add 12 to both sides to isolate the variable n.
n = -9 + 12
n = 3
B) n = 3
Answer:
(9,-2)
Step-by-step explanation:
9 is on x and y is -2
(x,y) is the rule so here ya go hope it helps :)