If a polynomial "contains", in a multiplicative sense, a factor , then the polynomial has a zero at .
So, you polynomial must contain at least the following:
If you multiply them all, you get
Now, if you want the polynomial to be zero only and exactly at the four points you've given, you can choose every polynomial that is a multiple (numerically speaking) of this one. For example, you can multiply it by 2, 3, or -14.
If you want the polynomial to be zero at least at the four points you've given, you can multiply the given polynomial by every other function.
Formula for finding the axis of symmetry: x = -b/2a
x^2 - 2x - 15
a = 1; b = -2 (plug these into the formula above)
-(-2)/2(1) = 2/2 = 1
Answer:
B: 20 minutes
Step-by-step explanation:
Because it comes every 30 minutes and he is 10 minutes late we do
30-10=20
Therefore he has to wait 20 minutes for the next train.
Answer:
16
Step-by-step explanation:
Let S is smart car and T is Toyota car
Case 1: 6 smart cars and 7 Toyota's = 6S + 7T
Case 2: 8 smart cars and 4 Toyota's
When 2 smart cars increase = 3 Toyota's cars descrease
So the ratio between them is:
2S = 3T
<=> S= 3/2T
so the maximum number of toyotas aboard the ferry
6*3/2T + 7T = 16 T