Answer:
c the answer is c
Step-by-step explanation:
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:
![(x-7)(x+2) = 0](https://tex.z-dn.net/?f=%28x-7%29%28x%2B2%29%20%3D%200)
FOIL:
![x^2 + 2x - 7x - 14 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%202x%20-%207x%20-%2014%20%3D%200)
Simplify:
![x^2 - 5x - 14 = 0](https://tex.z-dn.net/?f=x%5E2%20-%205x%20-%2014%20%3D%200)
a = 1, b = -5, c = -14
b. one x-int at 3
this means that the equation will factor to:
![(x-3)^2=0](https://tex.z-dn.net/?f=%28x-3%29%5E2%3D0)
FOIL:
![x^2 - 3x - 3x +9 = 0](https://tex.z-dn.net/?f=x%5E2%20-%203x%20-%203x%20%2B9%20%3D%200)
Simplify:
![x^2 - 6x + 9 = 0](https://tex.z-dn.net/?f=x%5E2%20-%206x%20%2B%209%20%3D%200)
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:
![-x^2-x-3=0](https://tex.z-dn.net/?f=-x%5E2-x-3%3D0)
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:
![(x+1)(x-1)=0](https://tex.z-dn.net/?f=%28x%2B1%29%28x-1%29%3D0)
This is a perfect square
FOIL:
![x^2-1=0](https://tex.z-dn.net/?f=x%5E2-1%3D0)
a = 1, b = 0, c = -1
e. x-int at ![\sqrt{3} , -\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%2C%20-%5Csqrt%7B3%7D)
our equation will factor to:
![(x+\sqrt{3} )(x-\sqrt{3)} =0](https://tex.z-dn.net/?f=%28x%2B%5Csqrt%7B3%7D%20%29%28x-%5Csqrt%7B3%29%7D%20%3D0)
This is also a perfect square
FOIL and you will get:
![x^2 - 3 = 0](https://tex.z-dn.net/?f=x%5E2%20-%203%20%3D%200)
a = 1, b = 0, c = -3
Answer:
Step-by-step explanation:
Exponential functions are the inverses of logarithmic functions, and vice versa.
Answer: $7200
Step-by-step explanation:
Given
The policy covers the damage of $50,000 PIP
He injured 10 people including himself
The total cost of injuries is $72,000
The cost per person is $7200
The company only pays for the damaged bear by the policyholder, not by the others.
the company only pays $7200 in coverage.
The correct answer is 4 ( 6x - 1 )