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
Answer:
Function
Step-by-step explanation:
Two different X's could equal the same Y value so this is a function. Remember if there's multiple of the same input (x) equalling different outputs (y) then it is not a function. If there's multiple inputs (x) equalling the same output (y) it's just coincidence and works.
Answer:
2 2/5
Step-by-step explanation:
Given 4/5÷1/3
Multiply 4/5 with the reciprocal of 1/3 as shown;
= 4/5 × 1/(1/3)
= 4/5 × 3/1
= 12/5
= 2 2/5
The quotient is 2 2/5
Answer:
m + s = 30
2m + 6s = 100
Step-by-step explanation:
took the test
5). Radius = 6 km. Circumference = 12π km. Area = 36π km²
6). Diameter = 8 mm. Circumference = 8π mm. Area = 16π mm²