Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
Answer:
x = -3/2 x=2
Step-by-step explanation:
2x² - x-6=0
Factor
(2x ) (x ) =0
6 = 2*3
2*-2 +3 = -1
(2x +3 ) (x -2 ) =0
2x+3 =0 x-2 =0
2x = -3 x=2
x = -3/2 x=2
Answer:
y= 5/11x
Step-by-step explanation:
If you were to grill two hamburgers at the same it would take 5 minutes to grill one side of 2 hamburgers and ten minutes to grill 2 ham burgers on both sides. So 10 minutes would make two hamburgers while 20 minutes will cook 4 hamburgers than add and extra 10 minutes to cook the last hamburger on both sides.
10 minutes = 2 both side cooked hamburgers
+
10 minutes = 2 both side cooked hamburgers
+
an extra 10 minutes = another both side cooked hamburgers since we only need five
=
30 minutes in minimal time to cook five hamburgers
The answer to the question is True