Answer:
no
Step-by-step explanation:
Answer:
There is a constant rate of change of both money raised and distance, so the function is linear. But the variables do have a proportional relationship, and the graph includes the point (0, 0)—0 dollars will be raised by a person who runs 0 miles. So this is a proportional function.
Step-by-step explanation:
Answer:
x=13
Step-by-step explanation:
set up the equation:
AXB+BXC=AXC
(2x+10)+(2x+10)=(6x-6)
calculate for x
x=13
Answer: There are 32 candles in the small box.
Step-by-step explanation:
Since we have given that
Size of small box= 2 ounces
Size of large box = 6 ounces
Number of candles in large box = 96,
We need to find the number of candles in the small box ,
As there is direct variation between the small box and large box ,
let the number of candles in the small box be x
So,

so, there are 32 candles in the small box.
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! :)