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:
7 miles
Step-by-step explanation:
You have total of $20
We subtract $2.50 from it since it is the base charge, so now we have:
20 - 2.5 = $17.50
This is for the number of miles at $2.50 PER MILE. To find the number of miles we can travel for this, we have to divide the amount we have (17.5) by the rate per mile (2.5), so we have:
17.5/2.7 = 7
So for a total of $20, we can travel 7 miles (without tip)
Answer:
w = 13yd, l = 18yd
Step-by-step explanation:
let x be width, so x+5 = length
Perimeter is sum of all 4 sides, and since opposite sides equal in rectangle,
P = 2(l+w)
= 2(x+5 +x)
= 4x + 10
Since perimeter is give as 62yd, equation is
4x + 10 = 62
4x = 52
x = 13
Answer:
x=8, y=10. (8, 10).
Step-by-step explanation:
-8x+7y=6
3x-2y=4
--------------
2(-8x+7y)=2(6)
7(3x-2y)=7(4)
-----------------------
-16x+14y=12
21x-14y=28
-------------------
5x=40
x=40/5
x=8
3(8)-2y=4
24-2y=4
2y=24-4
2y=20
y=20/2
y=10
