Answer: 30 students.
Step-by-step explanation: They are saying 50% of the class like the teacher. We know that 50% is half of the 100% so that mean only half of the students like the teacher. Is 15 students like the teacher it means that 15 are half of the students in the class. The other half should be another 15. So 15+15=30 or 15x2=30.
I hope I didn’t make it to confusing.
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1
Answer:
p(x) = 8x - 20
Step-by-step explanation:
revenue from selling x shirts is f(x) = 15x
The cost of buying x shirts is c(x) = 7x + 20
p(x) = f(x) - c(x)
To solve this, we need to substitute value of f(x) and c(x) in formula for p(x)
p(x) = f(x) - c(x)
p(x) = 15x -( 7x + 20)
=> p(x) = 15x - 7x -20
=> p(x) = 8x -20
Thus, profit is p(x) = 8x - 20.
Answer:
23
Step-by-step explanation:
Since 2/10 = 4/20, we know that a-3 = 20, so a = 20 + 3 = 23.
