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ra1l [238]
3 years ago
9

What is the vertex of the quadratic function f(x)=(x-6)(x+2)

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer: ( 2, -6 )

Step-by-step explanation:

rewrite y= (x-6)(x+2) in the form y=ax^2+bx+c

Y=(x-6)(x+2)

(x-6)(x+2): x^2-4x-12

y=x^2-4x-12

the parabola params are :

a=1, b= -4, c=-12

x^v=-(-4)/ 2*1

x^v=2

y^v=-16

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Let's figure out the total taxes in every town by applying the sales tax rate for each town.

To add percents to a whole number, we always multiply using 0.XX (example: to add 1% to a the number 100, we would multiply 100*0.01 and get the answer 1. We'd then add the 1 to the original number, 100, and get 101.)


In this case, we need to multiply the $1000 by the sales tax in Washington, 6%.

1000 x 0.06 = 60. Now, we add the 60 to the original number (1000), and get 1060. Now we know the total tax in Washington on the computer will be $60, and the total price we will pay is $1060.00


For Virginia, the sales tax is 5%. Let's add the 5% using the same method we used in the equation above.

1000 x 0.05 = 50. Now, add the 50 to the original 1000, and we get 1050. Now we know that the total tax in Virginia is going to be $50, and the total price that we'll pay in Virginia is $1050.00.


On to the final town, Maryland. In Maryland, the sales tax rate is 9%. Let's use the same formula again.

1000 * 0.09 = 90. Now that we have the 90, we add it to the original 1000, and we get 1090. In Maryland the total sales tax will be $90, and the total price we'll pay is $1090.00.


Now, let's complete the question by answering the 3 parts.


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Amir would pay $60 sales tax in Washington, DC.


I hope this answer was in depth enough to help you out so that you can do this on your own in the future. :)

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