A + b + c = 168
b = 1/3c
a = b + c....a = 1/3c + c = 4/3c
now we sub
4/3c + 1/3c + c = 168
8/3c = 168
c = 168 * 3/8
c = 504/8
c = 63 <=== Carlos collected 63 lbs
a = 4/3c
a = 4/3(63)
a = 252/3
a = 84 <== Amy collected 84 lbs
b = 1/3c
b = 1/3(63)
b = 63/3 <== Bruce collected 21 lbs
b = 21
Answer:
y = 4(x + 11)² - 484
Step-by-step explanation:
y = 4x² + 88x
factor the expression
y = 4(x² + 22x)
complete the square
y + ? = 4(x² + 22x + ?)
y + ? = 4(x² + 22x + 121)
add 4 • 121 to the left side
y + 4 • 121 = 4(x² + 22x + 121)
multiply
y + 484 = 4(x² + 22x + 121)
y + 484 = 4(x + 11)²
subtract both sides by 484
y = 4(x + 11)² - 484
216
Multiply all the numbers if the answer isnt correct sry
Answer:
f−1(x)=x5+45
Step-by-step explanation:
Answer: The cost of a ticket bought online is $12.60.
Step-by-step explanation: First, we need to find the value of the transaction fee. Multiply 12 and 5%.
$12 x 0.05 = $0.60.
Now we have the fee. Lets add the fee with the original cost.
$12 + $0.60 = $12.60.
Therefore, we can conclude that the cost of a ticket that is purchased online is $12.60.