Answer:
y = 
Step-by-step explanation:
Given
y = 3xy - 1
Collect terms in y on the left side by subtracting 3xy from both sides
y - 3xy = - 1 ← factor out y on the left side
y(1 - 3x) = - 1 ( divide both sides by 1 - 3x
y = 
← multiply numerator/denominator by - 1
y =
I guess the original function was
y = 5x (1)
y+Δy =5(x+Δx) (2)
(2) - (1) =
Δy = 5Δx
Δx →0, Δy/Δx →5
Answer:
x=2
Step-by-step explanation:
4x-5=3
4x=3+5
4x=8/:2
x=2
<span>let x = the original no. of students
then
(x+10) = the actual no. that went on the trip
:
= the original cost per student
and
= the actual cost
:
Original cost - actual cost = $12.50
- = 12.50
multiply equation by x(x+10)
x(x+10)* - x(x+10)* = 12.50x(x+10)
Cancel the denominators
1500(x+10) - 1500x = 12.5x(x+10)
1500x + 15000 - 1500x = 12.5x^2 + 125x
Combine on the right to form a quadratic equation
0 = 12.5x^2 + 125x - 15000
Simplify, divide equation by 12.5
x^2 + 10x - 1200 = 0
You can use the quadratic formula; a=1; b=10; c=-1200, but this will factor to
(x + 40(x - 30) = 0
The positive solution is what we want here
x = 30 students in the original group
Check this by finding the cost per student for each scenario
1500/30 = $50.00; original cost
1500/40 = $37.50; actual cost
---------------------
saving: $12.50</span>
Answer:
Step-by-step explanation:
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