Since she already spent $8 for 2 pounds of the ground coffee, she now has $12 left so then she can only buy only 1 pound of gourmet coffee since she will only have $4 left after buying the first pound.
3t=4s+5 (s=side of square, t= side of triangle)
s=t-3, t=s+3, using this value for t in the first equation gives us:
3(s+3)=4s+5
3s+9=4s+5
-s=-4
s=4
so the side length of the square is 4cm and the area of a square is just s^2
A=16cm^2
If

is an integer, you can use induction. First show the inequality holds for

. You have

, which is true.
Now assume this holds in general for

, i.e. that

. We want to prove the statement then must hold for

.
Because

, you have

and this must be greater than

for the statement to be true, so we require

for

. Well this is obviously true, because solving the inequality gives

. So you're done.
If you

is any real number, you can use derivatives to show that

increases monotonically and faster than

.
Answer:
y ≤ 3 or -∞ < y < 3
Step-by-step explanation:
domain exists when y is less than or equal to 3
6 = 5r - 14
6 + 14 = 5r
20 = 5r
r = 4