6.0 x 10^-5 I think is the answer
Take ln to both sides
ln 14^x = ln 5
then you'll get
x ln 14 = ln 5
divide both sides by ln 14
x = 0.6098533345
after rounding
x = 0.6099
P(x) = √x
for x = 0 → √0 = 0 and p(0) = 0
for x = 1.44 → √1.44 =1.2 and p(1.44) = 1.2
for x = 2.25 → √2.25 = 1.5 and p(2.25) = 1.5
for x = 3.24 → √3.24 = 1.8 and p(3.24) = 1.8
for x = 4.41 → √4.41= 2.1 and p(4.41) = 2.1
for x = 5.29 → √5.29 = 2.3 and p(5.29) = 2.3
Answer:
3x+2y <=30
3x represents the roses, because each rose is 3 dollars. 2y represents the carnations, because each carnation is 2 dollars. The total amount of money spent (3x+2y) should be less than or equal to 30 dollars, since the problem says that she does not want to spend more than 30 dollars.
Hope this helps!