Answer:
sorry for points
Step-by-step explanation:
Answer: $50.91
Step-by-step explanation:
The following information can be gotten from the question;
Cost of sweater = $49.95,
Cost of slacks = $68.59 each,
Cost of 2 slacks = $68.59 × 2
= $137.18
Cost of suit = $429.99.
Total cost = $49.95 + $137.18 + $429.99 = $617.12
Sales tax = 8.25%
The sales tax that Mike owe will be:
= 8.25% × $617.12
= 0.0825 × $617.12
= $50.91
Mike will have to pay a sales tax of $50.91
Answer:
(3,-4)
Step-by-step explanation:
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function
![y=3x^2-12x-36](https://tex.z-dn.net/?f=y%3D3x%5E2-12x-36)
This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so
![a=-2\\b=6](https://tex.z-dn.net/?f=a%3D-2%5C%5Cb%3D6)
Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to
![c=\frac{a+b}{2}](https://tex.z-dn.net/?f=c%3D%5Cfrac%7Ba%2Bb%7D%7B2%7D)
substitute the given values
![c=\frac{-2+6}{2}=2](https://tex.z-dn.net/?f=c%3D%5Cfrac%7B-2%2B6%7D%7B2%7D%3D2)
see the attached figure