Answer: The correct option is
(D)
Step-by-step explanation: We are given the following two functions :
We are to find the expression for f(x) - g(x).
We have
Thus,
Option (D) is CORRECT.
Let x be the number of nickels and y be the number of quarters.
Then, x + y = 42 --- (1)
It is given that total value = 4.90.
Therefore, 0.05x + 0.25y = 4.9 --- (2)
Multiply (1) by 0.25
0.25x + 0.25y = 10.5 --- (3)
Now, subtract (2) from (3), we get,
0.2x = 5.6
Divide both sides by 0.2.
x = 28
x + y = 42
y = 42 - x
= 42 - 28
= 14
Hence, Mary has 28 nickels and 14 quarters in total.
To convert the measurement in kilometers to meters, multiply the value by 1000. The given 3.5 km is equivalent to 3500 meters. The final displacement from the starting point to the tiger is obtained by subtracting the distance he traveled backwards from the distance he traveled moving forward.
3500 m - 1250 m = 2250 m
Thus, the answer is 2250 meters.
Answer:
n = sqrt(7) - 5 or n = -5 - sqrt(7)
Step-by-step explanation:
Solve for n:
(n^2 + 10 n + 18)/(n + 5) = 0
Multiply both sides by n + 5:
n^2 + 10 n + 18 = 0
Subtract 18 from both sides:
n^2 + 10 n = -18
Add 25 to both sides:
n^2 + 10 n + 25 = 7
Write the left hand side as a square:
(n + 5)^2 = 7
Take the square root of both sides:
n + 5 = sqrt(7) or n + 5 = -sqrt(7)
Subtract 5 from both sides:
n = sqrt(7) - 5 or n + 5 = -sqrt(7)
Subtract 5 from both sides:
Answer: n = sqrt(7) - 5 or n = -5 - sqrt(7)