Answer:
x = 1 , -6
Step-by-step explanation:
given,
ln (x + 2) = ln (12) − ln (x + 3)
using identity of logarithm
ln (ab) = ln (a) + ln (b)
ln (a) - ln(b) = ln (a/b)
now
ln (x + 2) = ln (12) − ln (x + 3)
ln (x + 2) = ![ln (\dfrac{12}{x+3})](https://tex.z-dn.net/?f=ln%20%28%5Cdfrac%7B12%7D%7Bx%2B3%7D%29)
on comparing
![x + 2 = \dfrac{12}{x+3}](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%20%5Cdfrac%7B12%7D%7Bx%2B3%7D)
(x+2)(x+3) = 12
x² + 5 x + 6 = 12
x² + 5 x - 6 = 0
x² + 6 x - x - 6 = 0
x(x + 6) -1 (x+ 6) = 0
(x - 1)(x + 6) = 0
x = 1 , -6
Hence, the value of x comes out to be x = 1 , -6
Let's call their parts w,m and s
if will paid 1/3, then m+s=2w (they paid 2/3, which is twice as much as will did)
Now, we know that:
Micah and Sue paid in the ratio 2:3.
this means the 3m=2s
and m=2/3s
Again:
m+s=2w
and we substitute m:
2/3s+s=2w
5/3s=2w// multiply both sides by 3
5s=6w
we also know that s=w+6 (from the last sentence) so we substitute:
5(w+6)=6w
5w+30=6w
30=w
so, Will paid 30, Sue paid 36 (six more than him), Mike paid 24 (24:36 is the same ratio as 2:3, you can check this by dividing both 24 and 36 by 12: you have 2 and 3)
and the total was 30+36+24=90.
Answer: A
Step-by-step explanation: the answer couldn’t be B since the point the graph starts is -2.
The slope of the line is -1/3 because that is how many points you go past to find the next point on the graph. So all of the 3x answers would not work
Answer:
A
Step-by-step explanation:
A
I think the one with the straight lines going up to the right. It’s increasing at the same rate and the other ones are different. Sorry if it’s wrong.