Y1 is the simplest parabola. Its vertex is at (0,0) and it passes thru (2,4). This is enough info to conclude that y1 = x^2.
y4, the lower red graph, is a bit more of a challenge. We can easily identify its vertex, which is (-4,0), and several points on the grah, such as (2,-3).
Let's try this: assume that the general equation for a parabola is
y-k = a(x-h)^2, where (h,k) is the vertex. Subst. the known values,
-3-(-4) = a(2-0)^2. Then 1 = a(2)^2, or 1 = 4a, or a = 1/4.
The equation of parabola y4 is y+4 = (1/4)x^2
Or you could elim. the fraction and write the eqn as 4y+16=x^2, or
4y = x^2-16, or y = (1/4)x - 4. Take your pick! Hope this helps you find "a" for the other parabolas.
Answer:
The original price of the item is $28.
Step-by-step explanation:
So to find the original price, we have to divide the sale price by the result of one minus the discount in percentage form.
So:
First convert 25% to a decimal, 0.25.
OP(original price) = 21 ÷ 1 - 0.25 =
1 - 0.25 = 0.75
21 ÷ 0.75 = 28.
<span>0.53(3)+5 = 1.59 + 5 = 6.59 when n = 3
</span>0.53(-3)+5 = -1.59 + 5 = 3.41 when n = -3
<h2><u>Anѕwєr :</u></h2>
48/15 or 3 whole 3/15
<h2><u>Explαnαtion :</u></h2>
There are 4 pizzas and each have 12 slices. So,
→ Number of slices each pizza have = 12 slices
→ Number of slices 12 pizzas have = (12 × 4) slices
→ Number of slices 12 pizzas have = 48 slices
Now, we have to find the number of slices each person get if they are split evenly.
→ Number of people = 15
Let the the number of slices each person get if they are split evenly be x. So,
→ Total number of slices = Number of people × Number of slices each gets
→ 48 = 15x
→ <u>48/15 or 3 whole 3/15 = Number of slices each gets</u>
Therefore, the number of slices each person get if they are split evenly is 48/15.