Rose has 1¾ yard of fabric and lily has 2 2/3 yards of fabric. how much fabric do they have all together? write your answer as a mixed number.

4 5/12

Step-by-step explanation:

Rose has 1 and 3/4 yards of fabric and Lily has 2 and 2/3 yards of fabric. First I will change this mixed fraction and convert it to an improper fraction.

Rose:

Lily:

Now lets add up these improper fractions:

And now we ask ourselves how many times can I split up 53 into 12 pieces? Well we know that 12 x 4 = 48 and so 53 divided by 12 is 4 with a remainder of 5 (53-48=5), therefore Rose and Lily have a total of:

 yards of fabric.

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

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