The reciprocal is 6/11. Hope this helps! :D
Answer:
(6 necklaces x $9 per necklace) - $14 spent on supplies = profit for Lola
or (6 x 9) - 14 = profit for Lola
The actual profit is $40.
Step-by-step explanation:
First, you need to calculate how much money Lola made from selling jewelry. She sold 6 necklaces, and each one was sold for $9, so you can calculate the total sale proceeds by multiplying 6 x $9 = $54.
However, you then have to subtract the cost of supplies that Lola had to buy to make the necklaces, in order to find out how much money Lola actually made. Therefore, subtract $14 from the calculation above.
Therefore the final expression is: (6 x 9) - 14 = profit
Make sure to take into account order of operations when solving the equation (it's important to multiply 6x9 before you subtract out the 14). The actual profit for Lola comes out to $40.
Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
Now x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
It's the first choice above. The center of the circle of the first choice is (-2, 6). In order to get from there to the center, you have to go right 2 and down 6, which are your given translations. None of the other translations bring the given centers to the origin. For example, the center of the second circle is (1, -2). In order to get from there to the center you have to go left 1 and up 2, but the translations they give are left 2 and DOWN 2, which is incorrect if you want to get to the origin. The only correct one is the first one.
