Answer:
Option (2). Increasing x > 0; decreasing x < 0
Step-by-step explanation:
Equation of the parabola having vertex (0, 3) will be,
y = (x - 0)² + 3
y = x² + 3
To check the function is increasing or decreasing in the given intervals we will find the derivative of the function,
y' = 2x
For x < 0 Or x = -1
y' = 2(-1)
= -2 < 0
Therefore, function is decreasing in x < 0
For x > 0 Or x = 1
y' = 2(1) + 3
= 5 > 0
Therefore, function is increasing in x > 0
Option (2) is the answer.
Answer:
The number of cases of golf ball that team needed to raise money for equipment is 3 .
Step-by-step explanation:
Given as :
The amount needed for new equipment = $850
The cost of each golf ball = $2
The number of packs of golf ball in each case = 24
The number of golf ball in each pack = 6
Let The number of cases of golf ball team needed to raise money for equipment = n cases
Now, According to question
∵ 1 pack has 6 balls
so, 24 pack has 6 × 24
i.e 24 packs has 144 balls
So, The number of balls in each case` = 144 balls
<u>Again</u>
∵ cost of 1 ball = $2
So, cost of 144 balls = $2 × 144
i.e cost of 144 balls in each case = $288
<u>Again</u>
∵ The amount needed for new equipment = $850
So, The number of cases of golf ball team needed to raise money for equipment =
Or, n =
∴ n = 2.9 ≈ 3
So, The number of cases of golf ball that team needed to raise money for equipment = n = 3
Hence, The number of cases of golf ball that team needed to raise money for equipment is 3 . Answer
