Answer:
3y=-x+9
y=1/3x+3
Step-by-step explanation:
Answer:
x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x over the real numbers:
x/x - 1 = x - 3 - 2/x
x/x - 1 = 0:
0 = x - 3 - 2/x
0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:
x - 3 - 2/x = 0
Bring x - 3 - 2/x together using the common denominator x:
(x^2 - 3 x - 2)/x = 0
Multiply both sides by x:
x^2 - 3 x - 2 = 0
Add 2 to both sides:
x^2 - 3 x = 2
Add 9/4 to both sides:
x^2 - 3 x + 9/4 = 17/4
Write the left hand side as a square:
(x - 3/2)^2 = 17/4
Take the square root of both sides:
x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
supplementary angles = 180°
180 - 39 = 141 °
141°
Paying $46.50 monthly, a financial calculator says it will take 30 months to pay off the loan.
Paying $71.00 monthly, it will take 19 months to pay off the loan.
Making the higher payment, Drew can pay off his loan 11 months sooner.
_____
If you solve the amortization formula for n, the number of payments, you get
... n = -log(1-(Pi/A))/log(1+i)
where P is the principal value of the loan (1250), i is the monthly interest rate (.007), A is the monthly payment (46.50 or 71.00).
You start by figuring out how fast a lap is so you do
4.5 (4 1/2 miles)/3
=1.5 minutes
Which means it takes her 1.5 minutes to do 1/4 mile so you times that by four to get how long it takes her to run a mile
4x1.5
=6
This means it takes her 6 minutes to run a mile
To get this into miles per hour you divide 60 (because there’s 60 minutes in an hour) by 6 (her mile time)
60/6
=10
Therefore she is running 10 miles per hour
