Answer:
See attachment
Step-by-step explanation:
The given function is 
This function is in the form:
Where the axis of symmetry is given by 
By comparison, we have -h=2.
This implies h=-2
Therefore the axis of symmetry is 
The maximum value occurs at the vertex, given by (h,k)=(-2,8)
See attachment for the axis of symmetry and maximum point.
Answer:
A. 18%
Step-by-step explanation:
For independent events:
P(A and B) = P(A) × P(B)
P = 0.30 × 0.60
P = 0.18
There is an 18% probability that it will rain on both days and the game will be canceled.
Answer: y=9
Step-by-step explanation:
slope=
10√3 cm.
The radius of an incircle of a hexagon is the same measure as the apothem. find the apothem by taking half of the central angle and create a right triangle perpendicular to the side. The central angle is 60 so the angle opposite the side length will be 30. this creates a 30-60-90 triangle with the ratio x:x√3:2x. half the side opposite 30 is 10, so x=10. the base angle of the side is 60 so it will be x√3. plug in 10 for x to get 10√3 cm.
Answer:cost of each donut =$4
and cost of each cup of hot chocolate =$2
Step-by-step explanation:
Step 1
Let donuts be represented as d
and cups of hot chocolate be rep as c so that
5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as
5 d+ 2 c= 24
And 2 donuts and 3 cups of hot chocolate costing 14$ will be expressed as
2d +3 c= 14
Step 2
Using elimination method,Multiply equation 1 by 3 and equation 2 by 2
15d+ 6c= 72----equation 3
4d+ 6c= 28-----equation 4
Subtracting equation 4 from equation 3 gives us
11 d=44
d= 44/11
d= 4
To find c, using equation 1
5 d+ 2 c= 24
5 x 4+ 2c=24
20+2c=24
2c=24-20
2c=4
c=4/2 =2
cost of each donut =$4
and cost of each cup of hot chocolate =$2
