Sierra rode her bike 12 7/8 miles. First she rode 3 2/3 miles to the park, then she rode 2 11/12 miles to the farm market, and finally she rode to her aunt's house. How many miles did Sierra ride from the farm market to her aunt's house?

Sierra rode 6 28/96 miles from the farm market to her aunt's house

Step-by-step explanation:

The distance that Sierra covered in riding her bike to the park is 3 2/3 miles. Converting 3 2/3 miles to improper fraction, it becomes 11/3 miles

The distance that she covered in riding her bike to the farm market is 2 11/12 miles. Converting 2 11/12 miles to improper fraction, it becomes 35/12 miles.

The total distance covered by riding to the park and the farm market is

11/3 + 35/12 = 79/12 miles

She finally she rode to her aunt's house. If the total distance covered is 12 7/8 miles, converting 12 7/8 miles to improper fraction, it becomes 103/8 miles.

The distance that she covered by riding to her aunt's house is

103/8 - 79/12 = 604/96 =

6 28/96 miles

it's d.

step-by-step explanation:

because: -1(4x + 1y) +2 (1x-3y) distribute each number into the parenthesis.

then you would get: -4x - 1y + 2x -6y combine like terms

and get: 2x -7y

hope my answer has you if not then i'm sorry.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1