Answer:
g(x) = (x -3 )^2 + 2
Step-by-step explanation:
f(x) = (x + 2)^2 + 2
We want to shift this 5 units to the right
The parabola is written in the form
y = a(x-h) ^2 +k where (h,k) is the vertex
The vertex is at ( -2, 2)
We want to shift it 5 units to the right
-2+5 = 3
g(x) = (x -3 )^2 + 2
Answer:
Apples and Peaches
Step-by-step explanation:
It is convenient to compare the prices for 3 lbs of each of the fruits.
Multiply the price and quantity of Apples by 4:
... 4×(3/4 lb) = 4×$1.59
... 3 lb = $6.36 . . . . for apples
Multiply the price and quantity of Plums by 6:
... 6×(0.5 lb) = 6×$1.15
... 3 lb = $6.90 . . . . for plums
The two lowest-priced fruits are apples (6.36/(3 lb)) and peaches (5.37/(3 lb)).
_____
<em>Comment on</em> the best deal
No criteria are provided for determining the best deal. Though plums are higher-priced, they have somewhat higher polyphenol content than apples or peaches, so may provide the best deal in terms of nutrition per dollar.
Answer:
x =106.5
y = 73.5
Step-by-step explanation:
Angle x is 1/2 arc SPQ
x = 1/2(98+115)
x = 1/2(213)
x =106.5
We know that x+y = 180 since this is an inscribed quadrilateral in a circle
x+y=180
106.5 +y =180
Subtract 106.5 from each side
106.5-106.5 +y =180-106.5
y = 73.5
