Answer:

Step-by-step explanation:
<u>Quadratic Function</u>
Standard Form of Quadratic Function
The standard representation of a quadratic function is:

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:

Answer:
175,760,000 possible license plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
=
26
^3
and 4 spots where there are 10 choices each (the digits 0 through 9,
=
10
^4
This gives:
26^3*10^4=175,760,000
Hope this Helps...!!
So, our starting point, at zero hours, you already owe ten dollars.
So far you know it is +10.
Now, you multiply for by however many hours you have rented the bike for.
So the equation is:
4x+10.
x= # of hours bike is rented for.
Hope this helps! Have a happy holiday!
Answer:
y>=1*x+2
Step-by-step explanation:
y>=k*x+n
we know that 2=k+n and 0=-2k+n
so 4=2k+n and 0=-2k+n
now 4=2n so n=2
now k=1
so y>=1*x+2
If 12= 3/4, then 16=4/4 would be a full tank.
The question is asking how many half gallon bottles can be filled, if there’s 16 full gallons, you’d multiply 16 by 2, and get 32.
Your answer is 32 half gallons