6b + 6p = 33.60 ; b=2.90
6(2.90) + 6p = 33.60
17.40 + 6p = 33.60
-17.40 -17.40
6p = 16.20
/6 /6
p = 2.70
ANSWER: each pendant costs $2.70
(5/6) x = -1/6 (multiply times 6/5)
x = -1/5
Start with y=mx+b
B is your y intercept
m is your slope
The points you have are (-1,4) and (1,-2)
To find the slow you Do Y2-Y1/X2-X1
(-2-4)/ (-1-1)
-6/-2
your m is 3
Now you go back to the equation of a Line y=mx+b
to find b (your y intercept) take on of the two points, and substitute it's y value in the equation Let's take (1,-2)
Y=mx+b
-2=3(1)+b
-2=3+b
b=-5
you now know that
b=-5
m=3x
The equation is
y=3x-5
1. Answer: 15.7143
log (7x-10)=2
Use the identity: loga(x)=b = x=(a)(b)
7x-10=10^2
Evaluate the Power
7x-10=100
Addition Property of Equality
7x=110
Division Property of Equality
x=110/7 or 15.7143
2. Answer: 0.3107
log(3)+log(x^-3)=2
log(3x^-3)=2
log(3 x 1/x^3)=2
log(3/x^3)=2
3/x^3=10^2
3/x^3=100
3=100x^3
3/100=x^3
Answer Cube root 30 / 10 or 0.3107
3. Answer: 0.002
log(5) + log(x) = -2
log(5x)= -2
5x= 10^-2
5x=1/10^2
5x=1/100
x=1/500
Answer: 0.002
Honestly I could tell you the steps, but I do not have a lot of time. Sorry. I will comment later if you need the steps
