Answer: $320 dollars
Step-by-step explanation:
if he already paid $80 and 20% of 400 is 80 then you would just subtract 80 from 400 to get 320.
Answer:
y equals 45, because you substitute the x in the bigger equation with -2, and then solve for y
<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>
Mean is the average. You would add up all the numbers and divide by how many numbers you have. 433/10=43.3
F(x)=x2+5x−36f(x)=x2+5x-36
(0)=x2+5x−36(0)=x2+5x-36
x=4,−9x=4,-9
y=(0)2+5(0)−36y=(0)2+5(0)-36
y=0+0−36y=0+0-36
y=−36y=-36
These are the xx and yy intercepts of the equation y=x2+5x−36y=x2+5x-36.
x-int: (4,0),(−9,0)(4,0),(-9,0)
y-int: (0,−36)(0,-36)
