If you are solving for x.
y=2.5x+5
you subtract 5 from both sides.
-5=2.5x
then divide both sides with 2.5
-5/2.5 2.5/2.5
the 2.5s will cancel each other out.
x=-2
Answer:
-14
Step-by-step explanation:
The negative sign is not inside of the absolute value sign so it would be -14
You have to complete the squares on both the x terms and the y terms in order to solve this. Move the 20 over to the other side so it's negative. Group the x terms together and complete the square to get (x^2+2x+1) and then do the same with the y terms: (y^2-4y+4). You have to add 1 and 4 to other side with the 20 to get a 25. Then create 2 perfect square binomials within each x and y value to get the vertex coordinates: (x+1)^2 + (y-2)^2 = 25. This tells us that the vertex is located at (-1, 2) and the radius is the square root of 25 which is 5.So the answer is the first choice above.
You have to find the unit rate, which in this case means the amount of fish you need per serving of soup.
If 16 oz of fish makes 24 servings, then 16/24 oz = 2/3 oz makes 1 serving.
Now multiply both quantities by 10, so that 10 servings require 20/3 oz ≈ 6.67 oz of fish.
A more direct way to do this is to solve for <em>x</em> in the following equation:
(16 oz fish) / (24 servings) = (<em>x</em> oz fish) / (10 servings)
Then (omitting units)
<em>x</em> = 10 • 16 / 24 = 20/3