Answer:
y = (x + 8)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term )² to x² + 16x
y = x² + 2(8)x + 64 - 64 + 70
= (x + 8)² + 6 ← in vertex form
Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60
Solve for <em>q</em> :
3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)
3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>
0.4<em>q</em> = 1.6
<em>q</em> = 4
Answer:
38cm
Step-by-step explanation:
1. The perimeter of a square can be found with the formula
2. Since its length and width are whole numbers, it must be either
1 x 18,
2 x 9 or
3 x 6
3. Using the formula in step 1, we can found that the perimeter in these cases are
38
22
18
respectively
4. Compare those perimeter we found in previous step, it's obvious that the greatest is 38. Solved.
The rate of this would be 11 sit ups because 55 divided by 5 would give you the answer 11
In the process of photosynthesis, one of the most important ingredient would be sunlight. Therefore, those aquatic plants that are near the surface would be able to produce the most sugar. This is because they can easily absorb sunlight compared to those that are located deeper in the water. Hope this helps.
