Answer:
(0,0)
Step-by-step explanation:
x value of vertex = -b/2a
ax^2+bx+c
-2x^2+0x+0 sinc you have no value of b & c in your quadratic function
-b = 0
2a = (2)(-2)
-b/2a = (0/-4) = 0
x value of the vertex = 0
plug 0 in for all values of x in the function to find y coordinate value
-2(0)^2 = 0
(x,y) = (0,0)
First, let's count:
there are 26 possible outcomes for E1 (black card)
there are 4x9 = 36 possible outcomes for E2, to pick a numbered card (any color)
there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)
the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):
P(E1 and E2) = 18/52 (34.6%)
And as asked:
P(E1) = 26/52 = 1/2 (50%)
P(E2) = 36/52 = 9/13 (69.2%)
Answer:
1.75 or 1 3/4 pieces of pizza per person
Step-by-step explanation:
Hi,
Divide 4 by 7 and you get...
1 3/4 or 1.75
I hope this helps :)
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds.
Explanation
given
cost of macadamia nuts per pound=$9
cost of almond nuts per pound=$5.25
cost of the mixture per pound=$6.5
total pounds of the mixture to be made=12
let the pounds of macadamia nuts=x
pounds of almond nuts=y
total pounds of nuts=x+y=12
![x+y=12(1)\\9x+5.25y=6.5(x+y)\\\\9x+5.25y=6.5*12\\9x+5.25y=78(2)](https://tex.z-dn.net/?f=x%2By%3D12%281%29%5C%5C9x%2B5.25y%3D6.5%28x%2By%29%5C%5C%5C%5C9x%2B5.25y%3D6.5%2A12%5C%5C9x%2B5.25y%3D78%282%29)
solving (1) and (2)
x=4
y=8
Inc on (-inf,0)
Dec on (0,inf)