Answer:
Step-by-step explanation:
Brittany paints the room in x hours, completing 1/x of the room per hour.
Ashley paints the room in x+2 hours, completing 1/(x+2) of the room per hour.
Working together, they complete 1/x + 1/(x+2) = ⅐ of the room per hour.
7(x+2) + 7x = x(x+2)
14x + 15 = x^2 + 2x
x^2 - 12x - 15 = 0
x = [12 ±√(12²+60)]/2= 6±√51
6-√51 is an extraneous solution.
x = 6+√51 ≈ 13.14
Brittany paints the room in 12.14 hours
ln9 = y can be rewritten into an exponential function as y = e^9
Answer:
x^2+8x+15
Step-by-step explanation:
You can use FOIL method
(x*x)+(x*5)+(3*x)+(3*5)
x^2+5x+3x+15
x^2+8x+15
Step-by-step explanation:
3x+6+4x-20=10
7x-14=10
7x=24
x=24/7
Well it says 1 cup of sugar (S) for every 20 cookis (N) is like saying the amount of cookies(N) is increased by a factor of 20 times the cups of sugar (S) used. which can be written:
cookies(N) = 20 * cups sugar (S)
So you just get rid of the words and use the variables S and N and get
N = 20S
that is the equation. to graph it just plug in a few numbers for s and get the n. It's just like x and y but where x is S and y is N
