The price of dance lessons depends on the number of lessons (x) you choose to take. If you take up to 4 dance lessons, the cost is $40 per lesson. If you take more than 4
and up to 8 lessons, the cost is $30 per lesson. Finally, if you take more than 8
lessons, the cost is $25 per lesson.
Identify the piecewise function that correctly models the total cost for dance lessons
if x lessons are taken.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

i will with my problems and all the other things that need to   be on by the way

step-by-step explanation:

answer: 8 years

step-by-step explanation:

the explanation is that in 8 years the child will be 20 and in 8 years the father will be 40 and 20 is half of 40.

1. 16.64

a^2+b^2=c^2

pr^2=pq^2+qr^2

pr^2=14^2+ 9^2

pr^2=196+81

pr= sqr root of 277

16.64

2. 11.31

c^2-a^2=b^2

18^2- 14^2=b^2

b^2=324-196

b=sqr root of 126

b=11.31

hope it ! (btw im in connections academy to, good luck! )