Answer:
-46 feet/min
Step-by-step explanation:
Initial elevation = 1,380 ft
Final Elevation = 0 feet
Change in elevation
= Final elevation - Initial Elevation
= 0 - 1,380
= - 1,380 feet
Given that the journey took 30 min,
rate of descent = Change in elevation / time
= -1,380 / 30
= - 46 feet/min
<u>Given</u>:
The given expression is 
We need to determine the solution of the given expression.
<u>Solution</u>:
Let us solve the exponential equations with common base.
Applying the rule, if 
then 
Thus, we have;
Subtracting both sides of the equation by 9x, we get;
Subtracting both sides of the equation by 18, we have;
Factoring the equation, we get;
Grouping the terms, we have;
Taking out the common term from both the groups, we get;
Factoring out the common term (x - 7), we get;
Thus, the solution of the exponential equations is x = -2 and x = 7.
Hence, Option C is the correct answer.
Answer:
It's a tie!
Step-by-step explanation:
The reason it was a tie is because
56/98 = 0.57 meaning that 57% of Restaurant A won
84/147 = 0.57 meaning that 57% of Restaurant B also won!
4x - 5y = -12
-x + 5y = 18
Add the equations together:
4x + -x = 3x
-5y + 5y = 0
-12 + 18 = 6
So now you have:
3x = 6
Divide both sides by 3:
X = 2
Now you have the value of x, replace x with 2 in one of the equations and solve for y:
4(2) -5y = -12
8 -5y = -12
Subtract 8 from both sides:
-5y = -20
Divide both sides by -5:
Y = 4
The solution is x = 2 and y = 4 which is written as (2,4)
