Answer:
x = 2
Step-by-step explanation:
Given the equation as;
log 3 + log x - log(x + 1) = log 2
collect like terms
log x - log(x + 1) = log 2-1og 3
Re-write the equation by applying laws of logarithms in that when you subtract logs you divide the numbers/terms. This will give
log [ x / x+1 ] = log [2/3]
Cancel log on both sides to remain with;
x/ x+1 = 2/3
Apply cross-product
3{x} = 2{x+1}
3x = 2x + 2
3x-2x = 2
x = 2
Answer:
Step-by-step explanation:
y=a(x-h)^2+k
-12=a(1-h)^2+k
16=a(3-h)^2+k
subtract
a(3-h)^2-a(1-h)^2=28
a[(3-h)^2-(1-h)^2]=28
a=2
2[(3-h)^2-(1-h)^2]=28
(3-h)^2-(1-h)^2=14
9+h^2-6h-(1+h^2-2h)=14
9+h^2-6h-1-h^2+2h=14
-4h+8=14
-4h=6
h=-3/2
16=2(3+3/2)^2+k
16=2×81/4+k
k=16-81/2=-49/2
so y=2(x+3/2)²-49/2
Answer:
She now has 84 nickles. :)
Step-by-step explanation:
40+44=84
Answer:
Length: 25, Width: 7
Step-by-step explanation:
Let the width be represented by w. We can then assume that the length is equivalent to 3w+4
So, we can set the equation 2(3w+4)+2(w). Simplify to 8w+8=64
Simplify the equation and solve for w, which is 7
Plug into the the length, which is 3w+4