Sara, kim, and john own a painting company. to paint a particular home, sara estimates it would take her 4 days. kim estimates 5.5 days. john estimates 6 days. how long would it take them to work together to paint the house.

1.67 days

Step-by-step explanation:

Sara can finish 1/4 work a day

Kim can finish 1/5.5 work a day

John can finish 1/6 work a day

if they work together one day can do: 1/4 + 1/5.5 + 1/6 = 79/132

79/132 * x days = 1

x = 132/79 = 1.67

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step-by-step explanation:

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