Sean and his family rented a yacht for a day. Sean caught a baby shark and his dad caught a blue marlin. The weight of the baby shark was 12 times as great as the weight of the blue marlin. The combined weight of both fish was 273 pounds. How much did the baby shark weigh?

The baby shark weighed 252 pounds.

Step-by-step explanation:

From the information given, you know that the weight of the baby shark plus the weight of the blue marlin is 273, which could be expressed as:

x+y=273, where:

x is the weight of the baby shark

y is the weight of the blue marlin

Also, you know that  the weight of the baby shark was 12 times as great as the weight of the blue marlin, which could be expressed as:

x=12y

Now, you can replace x=12y in x+y=273 and solve for y:

12y+y=273

13y=273

y=273/13

y=21

Now, you can replace the value of y in x=12y to find the value of x:

x=12(21)

x=252

According to this, the answer is that the baby shark weighed 252 pounds.

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