8. John buys a TV for $1900. He later sells it for
$750. Calculate his percentage loss, correct to
one decimal place.

John bought the TV for . . . . $1,900

John sold the TV for . . . . . $750

John lost this much on the TV . . . (1,900 - 750) = $1,150

What fraction of the amount he paid did he lose ?

$1,150 / $1,900 = 0.6053 of the amount he paid never came back

What is this fraction as a percentage ?

0.6053 = 60.53 %

Rounded to one decimal place:  60.5 %  

John took a beating on that TV.  I hope he got a lot of good use out of it while he had it.

60.5% loss

Step-by-step explanation:

Loss = Cost Price – Selling Price =$1900-$750= $1150

% loss= Total loss/Cost price ×100

=1150/1900×100

=60.5%

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