First, we need to find the total fraction of her raisins she used:
1/4 + 3/8 = 2/8 + 3/8
She used 5/8 of her supply.
Knowing this:
5/8x = 5
We multiply by 8 (the LCD)
5x = 40
x = 8
Her supply was 8 pounds, and after making the food, she now has 3 pounds
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Answer:
.
Step-by-step explanation:
There would be 14 female and 7 male, so the total number of students is 21.
