Hello!
log₃(x) + log₃(x - 6) = log₃(7) <=>
<=> log₃(x * (x - 6)) = log₃(7) <=>
<=> log₃(x² - 6x) = log₃(7) <=>
<=> x² - 6x = 7 <=>
<=> x² - 6x - 7 = 0 <=>
<=> x² + x - 7x - 7 = 0 <=>
<=> x * (x + 1) - 7 * (x + 1) = 0 <=>
<=> (x + 1) * (x - 7) = 0 <=>
<=> x + 1 = 0 and x - 7 = 0 <=>
<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>
<=> x = 7
Good luck! :)
Answer: James is 12, while Kate is 7
Step-by-step explanation:
X + (2X-2) = 19
The other endpoint is (-8, 11)
A) 36 is your correct answer thank you
Answer:
Only Choices A and C are correct.
Step-by-step explanation:
The graph has negative slope and its y-intercept is a positive value, and the equations we are looking for should have these two properties.
Let us look at the choices one by one.
Choice A: 
We solve for y and get:

This has negative slope and positive y-intercept, therefore this choice is true.
Choice B: 
This is a horizontal line, therefore this choice cannot be correct.
Choice C: 
This has negative slope and positive y-intercept, therefore this choice is true.
Choice D: 
Solve for y and get:

This has positive slope and negative y-intercept, which are not the characteristics of our graph. Therefore this choice is not correct.
Thus only choices A and C apply.