Answer:
a. a = 1, b = -5, c = -14
b. a = 1, b = -6, c = 9
c. a = -1, b = -1, c = -3
d. a = 1, b = 0, c = -1
e. a = 1, b = 0, c = -3
Step-by-step explanation:
a. x-ints at 7 and -2
this means that our quadratic equation must factor to:

FOIL:

Simplify:

a = 1, b = -5, c = -14
b. one x-int at 3
this means that the equation will factor to:

FOIL:

Simplify:

a = 1, b = -6, c = 9
c. no x-int and negative y must be less than 0
This means that our vertex must be below the x-axis and our parabola must point down
There are many equations for this, but one could be:

a = -1, b = -1, c = -3
d. one positive x-int, one negative x-int
We can use any x-intercepts, so let's just use -1 and 1
The equation will factor to:

This is a perfect square
FOIL:

a = 1, b = 0, c = -1
e. x-int at 
our equation will factor to:

This is also a perfect square
FOIL and you will get:

a = 1, b = 0, c = -3
The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes
In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.
∴ The number of handshakes = 






∴ The number of handshakes = 153 handshakes
Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.
Learn more here: brainly.com/question/1991469
Total number of cans = N
number of weeks = w
The multiplier is 6.
Therefore the expression must be:
N = 6w
Step-by-step explanation:
C. n 1 2 3 4
an 3 6 9 15
hope this helps you
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