Answer:
x = 5m/s
Step-by-step explanation:
Distance flying out = 12 km (headwind)
Distance flying back = 12 km (tailwind)
total distance = 12 + 12 =24 km
wind speed = 1km/h
speed going out (with headwind) = (x - 1) km/h
speed coming back (with tailwind) = (x + 1) km/h
Time taken to go out = distance going out / speed going out
= 12 / (x-1)
Time taken to come back = distance coming back / speed coming back
= 12 / (x+1)
total time = time taken to go out + time taken to come back
5 =[ 12/(x-1) ] + [ 12/(x-1)]
expanding this, we will get
5x² - 24x - 5 = 0
solving quadratic equation, we will get
x = -1/5 (impossible because speed cannot be negative)
or
x = 5 (answer)
Answer:
Step-by-step explanation:
The expression 1.01-1.005 gives the amount of money, in thousands of dollars, in Carter's savings account t years after he opens it What does 1.01 represent in this expression? Choose 1 answer Carter opened the savings account I year ago ⓢ Carter's savings account had $1,010 in it when he opened it. The amount of money in Carter's savings account increase by 1% each year.
1.01 ( 1.005 )^t
standard exponential equation is
y = a (b)^x
where a = initial value
comparing the two equations
we get
a = 1.01
so, it means 1.01 means Carters saving account had $ 1010 in it when it opened
2x + 5y = 4
5y = -2x + 4
y = -2/5 x + 4/5
parallel lines have same slope so slope = -2/5
equation
y +4 = -2/5 (x - 5)
y = -2/5 x + 2 - 4
y = -2/5 x - 2
answer is D
y = -2/5 x - 2
