The mixed number is 4 5/12.
Answer:
On a coordinate plane, a parabola opens up
It goes through (negative 3, 0), has a vertex at (negative 0.5, negative 6.25), and goes through (2, 0).
Step-by-step explanation:
f(x) = (x + 3)(x – 2)
We know that parabola opens up since the x^2 term is be positive
it has zeros at x=-3 and x=2
x+3 =0 and x-2 =0 from the zero product property
The vertex is halfway between the zeros
(-3+2)/2 = -1/2
x=-1/2
f(-1/2) = (-1/2+3) (-1/2-2) = 2.5 * -2.5 =-6.25
The vertex is (-1/2, -6.25)
Each student has 8/5 or 1.6 of the cake
Answer:
number of baskets of strawberries in each package = 21
number of baskets of raspberries in each package = 9
Step-by-step explanation:
Let x = number of baskets of strawberries in each package.
Let y = number of baskets of raspberries in each package.
Baskets of strawberries worth $7 apiece, and baskets of raspberries, worth $11 apiece. The cost of the each package is $246. This means
7x + 11y = 246 - - - - - - - - -1
The owner wants each package to include 30 baskets total. This means
x + y = 30
Put x = 30 - y in equation 1
7(30-y) + 11y = 246
210 - 7y + 11y = 246
-7y + 11y = 246 - 210
4y = 36
y = 36/4 = 9
x = 30-y = 30-9
= 21