Answer:
<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>
Step-by-step explanation:
We know that each backpacks is sold for $40.00.
The goal is to make at least $9,800 per week. With this information we can define the inequality
Where 
represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so
Solving for
Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.
1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2
<u>Step-by-step explanation:</u>
f(x) = √x
g(x) = 2√x + 3
- adding 3 is a vertical shift up 3 units
- multiplying by 2 is a vertical stretch by factor of 2
2. Answer: Domain: [0, ∞)
Range: [3, ∞)
<u>Step-by-step explanation:</u>
g(x) = 2√x + 3
Domain: The restriction on "x" is that the radical must be greater than or equal to 0. So, x ≥ 0 Interval Notation: [0, ∞)
Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0. Add 3 to that and y ≥ 3. Interval Notation: [3, ∞)
Answer:
x = 4
Step-by-step explanation:
Vertical angles are equal.
m∠1 = m∠2
10x - 9 = 4x + 15
Add 9 to both sides
10x = 4x + 15 + 9
10x = 4x + 24
Subtract 4x from both sides
10x -4x = 24
6x = 24
Divide both sides by 6
x = 24/6
x = 4
Answer:
4 cups can be filled
Step-by-step explanation:
1/5 is equal to 2/10 liter of juice.
Therefore 4*2/10 is equal to 8/10 which means that 4 1/5 liter cups can be filled with 8/10 liter of juice.
