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:
Oil: 10.5 oz Vinegar: 3.5 oz
Step-by-step explanation:
If the amount of vinegar is the variable x than the amount of oil is 3x. this means that x+3x=14 or 4x=14. Which means x=3.5 so vinegar is 3.5 while oil is three times that or 10.5.
The radius of the circle is 15 cm,
The diameter of the circle is 30 cm,
The circumference of the circle is 94.248 cm,
The area of the circle is 706.86 cm^2
The radius is given in the diagram as half the circle, which is 15 cm.
The diameter is double the radius because the diameter measures the circle from edge to edge, so 15•2=30 cm.
The circumference of the circle is 2•3.14•r=C,
2•3.14=6.28, 6.28•15= 94.248 cm.
The area of the circle is 3.14•r^2, so the radius squared is 225 (15•15) and 225•3.14=706.86 cm squared :)
Answer:
5 should be subtracted from each term
Step-by-step explanation:
Cross multiply,
1 * (11 - x) = 2*(8-x)
11 -x = 2*8 - 2*x
11 - x = 16 - 2x
Subtract 11 from both sides,
-x = 16 - 2x - 11
-x = 5 - 2x
Add 2x to both sides
-x +2x = 5 - 2 + 2x
x = 5
The answer is <span>$11.43
you type 63.50 into your calculator
then divide it by 100
the times it by 18
and you get 11.43
that is the answer</span>
